TEST FOR EQUALITY OF PARAMETERS AND OF MODELS IN NONLINEAR REGRESSION Adair José REGAZZI, Universidade Federal de Viçosa, Departamento de Informática, CEP. 36571-000, Viçosa-MG, Brazil. E-mail: [email protected] In this paper we consider the adjustment of g nonlinear regression models. We present a framework for testing the following null hypothesis: (a) H0 : the g nonlinear models are all identical, i.e., one single model can be adjusted; and (b) H0 : a subset of the parameters from the g models are equal. We illustrate our proposed framework with the logistic growth model. The likelihood ratio test is used and the methodology is very general in the sense that it can be applied to any nonlinear regression model. Key words: likelihood ratio test, nonlinear regression, hypothesis test. EVALUATION OF NON-SEGMENTED POLYNOMIAL TAPER MODELS FOR ESTIMATING COMERCIAL DIAMETERS AND VOLUMES OF Pinus taeda Adriana Leandra de ASSIS, Doutoranda em Engenharia Florestal, Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; Leonardo Machado PIRES, Mestrando em Engenharia Florestal, Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; Lucas Rezende GOMIDE, Mestrando em Engenharia Florestal, Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; José Roberto Soares SCOLFORO, Prof. Depto de Ciências Florestais, UFLA, e-mail: [email protected]; Antônio Donizette de OLIVEIRA, Prof. Depto de Ciências Florestais, UFLA, e-mail: [email protected] This study evaluated the precision of non-segmented polynomial models in the description of the arboreal profile of Pinus taeda using 58 cubed trees in the forest company PISA S/A. The precision of the models was obtained according to a statistical ranking. The tested models were HRADETZKY (1976), larger stability; GOULDING and MURRAY, middle; and SCHÖEPFER (1966), tendentious. Key-words: Non-segmented polynomial model, taper models STUDY OF THE Pinus taeda STEM PROFILE USING SEGMENTED POLYNOMIAL TAPER MODELS ADRIANA LEANDRA ASSIS Doutoranda em Engenharia Florestal – Florestas de Produção, Universidade Federal de Lavras,e-mail: [email protected]; LUCAS REZENDE GOMIDE Mestrando em Engenharia Florestal – Florestas de Produção, Universidade Federal de Lavras,email: [email protected]; LEONARDO MACHADO PIRES Mestrando em Engenharia Florestal – Florestas de Produção, Universidade Federal de Lavras,e-mail: [email protected]; PROF. JOSÉ ROBERTO SOARES SCOLFORO Professor titular do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail: [email protected] PROF. JOSÉ MARCIO DE MELLO Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail: [email protected] This study aimed at using of segmented polynomial models, to estimate diameters along the stem of Pinus taeda. It was used 58 trees of Pinus taeda , in Jaguariaiva - PR. The best model was Clark, Souter and Schlaegel, followed by Max and Burkhart. The model of Parresol, Hotvedt and Cao was not recommended. Key-words: Segmented polynomial model, taper models, diameters estimates. ESTIMAÇÃO BAYESIANA NA ANÁLISE DE PROPORÇÕES COM EXCESSO DE ZEROS Adriano Ferreti BORGATTO Departamento de Ciências Exatas, ESALQ/USP, [email protected]; Clarice Garcia Borges DEMÉTRIO Departamento de Ciências Exatas, ESALQ/USP, [email protected]; Roseli Aparecida LEANDRO Departamento de Ciências Exatas, ESALQ/USP, [email protected]; Three models were applied to datasets, obtained from biological control essays. The standard analysis can be questionable using binomial model, because of zeros excess. In this case, the zero inflated binomial model is used. If interest is only in the positive proportion data, a truncated binomial model can be fitted. MODELS FOR PROGNOSIS OF PRODUCTION USING THE DISTRIBUTION BETA AND SB , FOR Eucalyptus camaldulensis DEHN AGUINALDO THIERSCH, Thiersch Engenharia Ltda., e-mail: [email protected]; CLÁUDIO ROBERTO THIERSCH Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; EDMILSON SANTOS CRUZ Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; JOSÉ ROBERTO SOARES SCOLFORO Departamento de Ciências Florestais, UFLA, e-mail: [email protected] The main objectives of this study were to test the distributions Beta and SB for estimating future volume by diameter class. The efficiency was evaluated by the test t, deviation of the prognoses and correlation among predicted and observed volume. The prognosis system was efficient, independent of the age, making it possible reliable forecasts of tendency growth. Key words: prognosis, distribution beta,distribution SB , Eucalyptus camaldulensis INTERFERENCY VARIABLES IN GRAINS YIELD EXPERIMENTAL ERROR CORN ALBERTO CARGNELUTTI FILHO, Fundação Estadual de Pesquisa Agropecuária, [email protected]; LINDOLFO STORCK, Departamento de Fitotecnia, Universidade Federal de Santa Maria, [email protected]; ALESSANDRO DAL’COL LÚCIO, Departamento de Fitotecnia, Universidade Federal de Santa Maria, [email protected] Using the average and variance of variable income grains, number days until pendoamento, stature plants, stature spikes, number plants and number spikes between six repetitions of two experiments corn, conclude that to cultivate with lesser variance in number of spikes improve the experimental precision of the changeable income of grains. Autor para correspondência: Alberto Cargnelutti Filho, Pesquisador em Estatística/Experimentação Agropecuária – FEPAGRO, Rua Gonçalves Dias, 570, Bairro Menino Deus, 90130-060, Porto Alegre, RS, [email protected] PAPADAKIS METHOD AND THE EXPERIMENTAL PRECISION IN CORN CULTIVARS COMPETITION TRIALS ALBERTO CARGNELUTTI FILHO, Fundação Estadual de Pesquisa Agropecuária, [email protected]; LINDOLFO STORCK, Departamento de Fitotecnia, Universidade Federal de Santa Maria, [email protected]; ALESSANDRO DAL’COL LÚCIO, Departamento de Fitotecnia, Universidade Federal de Santa Maria, [email protected] Verified if method Papadakis is efficient to increase the experimental precision in corn cultivar competition trials. Papadakis method improved the experimental precision from 10.5% to 48.1% in all different ways used to estimate index yield. The four hills neighboring the reference hill was the best index to increase experimental precision. Autor para correspondência: Alberto Cargnelutti Filho, Pesquisador em Estatística/Experimentação Agropecuária – FEPAGRO, Rua Gonçalves Dias, 570, Bairro Menino Deus, 90130-060, Porto Alegre, RS, [email protected] DETERMINATION OF OPTIMUM TIME OF DRESSING PROCESS OF “CENTRELESS” GRINDING MACHINES OF RODS OF SHOCK ABSORBERS OF AUTOMOBILES ALESSANDRA QUERINO DA SILVA, UFLA ([email protected]); MARCELO SILVA DE OLIVEIRA, UFLA ([email protected]); THELMA SÁFADI, UFLA ([email protected]) A iming the improvement of the performance of industrial processes, the manufacturing companies are used the Statistical Process Control – SPC to control the variability of the process. We propose to determine, scientifically, the optiomum time to dressing process of “centreless” grinding machines of rods of shock absorbers st the company TECNO. Key Words: Statistical Process Control; Time Series; Qualiity Management. THE OPTIMAL SIZE AND SHAPE OF ITALIAN PUMPKIN PLOT ALESSANDRO DAL’COL [email protected]; LÚCIO RODRIGO Departamento MACHADO de Fitotecnia/CCR/UFSM. MELLO Departamento de Fitotecnia/CCR/UFSM.; LINDOLFO STORCK Departamento de Fitotecnia/CCR/UFSM. [email protected]; RICARDO HOWES CARPES Departamento de Fitotecnia/CCR/UFSM. [email protected]; Fitotecnia/CCR/UFSM. ALEXANDRA AUGUSTIN BOLIGON Departamento de With objective of esteeming through the method of Hateway, the size and it forms great of portion for pumpkin cultivated in greenhouse, it was obtained for the station summer-fall and winter-spring, portions of 4 plants (2 in the length and in the width), for D% = 20% and eight repetitions. WORD-KEY: Curcubita pepo, greenhouse, planning of experiments, quality control. AVALUATION OF MAIZE PROGÊNIES TAS THE RESITENCE TO THE PHAEOSPHARIA MAYDIS. ALINE BORGES PETRAGLIA Curso de Matemática – Universidade Federal de Uberlândia; HEYDER DINIZ SILVA FAMAT-UFU; ROGÉRIO DE MELO COSTA PINTO FAMAT-UFU MICHELE GONÇALVES PEDROSA Key words: selection. Plant desease, gain. 98 maize progênies was evaluated to the resistence to the Phaeospharia maydis. The herdability of these charactere was 0.8636. The average gain to the selection, adopthing a 25% selection presure was of 39,4% RISK OF PEST RESISTANCE TO BACILLUS THURINGIENSIS TOXINS EXPRESSED IN TRANSGENIC CROPS: INFLUENCE OF UNCERTAINTY ASSOCIATED TO RESISTANCE ALLELE INITIAL FREQUENCY Aline de Holanda Nunes MAIA, Pesquisadora da Embrapa Meio Ambiente, C. P. 69, Jaguariúna, SP. CEP. 13.820-000; Doutoranda em Fitotecnia, Departamento de Produção Vegetal, ESALQ, Universidade de São Paulo; Bolsista CNPq, e-mail: [email protected], Tel. (19) 3867.8700.; Durval DOURADO NETO, Professor do Departamento de Produção Vegetal, ESALQ. Universidade de São Paulo; C. P. 9. Piracicaba, SP. 13.418-900, Bolsista CNPq, email: [email protected]., Tel. (19) 3429.4190. We used uncertainty analysis to quantify the risk of pests developing resistance to Bt crops. Risk estimates depend strongly on the shape of the probability distribution used to characterize the uncertainties associated to resistance allele initial frequency. Good information about both location measures and probabilities of extreme values is necessary. Key words: Bt crops, uncertainty analysis, modelling, risk anlysis. INCORPORATION METHODS OF SPATIAL DEPENDENCE IN EXPERIMENTS ANALYSIS ANA ALICE PILON, Departamento de Ciências Exatas, ESALQ/USP, [email protected]; SÔNIA MARIA DE STEFANO PIEDADE, Departamento de Ciências Exatas, ESALQ/USP, [email protected]; PAULO JUSTINIANO RIBEIRO JUNIOR, Departamento de Estatística, UFPR, [email protected] The present paper searches the comparison among methods which incorporate the spatial dependence in experiments. These methods will assume geostatistics and markovies models. The paper is in process. However, the estimations treatment contrasts from this paper are expected in higher accuracy than estimations from classical analysis. Endereço para correspondência: Sônia Maria De Stefano Piedade, Departamento de Ciências Exatas, ESALQ/USP, Caixa Postal: 9, cep: 13418-900, e-mail: [email protected]. SAMPLE SIZE TO AMERICAN LETTUCE CULTIVAR IN PLANTING SUCCEEDED BY MULCHING PLANTS ANASTÁCIA FONTANÉTTI, Pós-graduanda Fitotecnia, Departamento de Agricultura, UFLA, e-mail: [email protected]; AUGUSTO RAMALHO DE MORAIS, Prof. Depto de Ciências Exatas, UFLA, Caixa Postal:37, Lavras/MG, CEP. 37200-000, e-mail: [email protected]; GABRIEL JOSÉ DE CARVALHO, Prof. Dr. Departamento de Agricultura, UFLA, e-mail: [email protected] The objective of this study was to evaluate the effect of the different mulching plants on the weight per plant, weight of commercial head and head circunference of the american lettuce cultivar, by the knowledge of variability of such those variables, establish sampling size for guiding works in lettuce. The treatments consist of four mulching. The experimental design was a randomized blocks with three replications. Numbers of replications was more important than the numbers of plants. WORDS KEY: significative least difference, sample size, organic compost DEVELOPEMENT OF AN INSTRUMENT TO EVALUATE THE INHABITS FEEDING OF A POPULATION: AN STUDY IN PIRACICABA – SP André Luís PANCIERA, Aluno do Curso de Ciência dos Alimentos e Estagiário do Depto de Ciências Exatas, ESALQ-USP, Caixa Postal 11, Piracicaba/SP, CEP. 13418-900, e-mail: [email protected], Tel. 0 XX (19) 34336054.; Manoel Divino da MATTA JUNIOR, Aluno do Curso de Ciência dos Alimentos e Estagiário do Depto de Ciências Exatas, Caixa Postal 11, Piracicaba/SP, CEP. 13418-900, e-mail: [email protected].; José Eduardo Corrente, Prof. do Depto de Ciências Exatas, Caixa Postal 11, Piracicaba/SP, ESALQ-USP, CEP. 13418900, e-mail: [email protected] , Tel. 0 XX (19) 3429-4127, ext. 220. Inhabits feeding of a population has suffered lots of changes in the lasts years and one of the main causes is the intense process of globalization. Then the aim of this work is to develop and evaluate a instrument to identify the most consumed foods breakfast, lunch and dinner considering the great importance of food market for economy. Key word: feeding, tables, evaluate the inhabit feeding AN EVALUATION OF BRAZILIAN AGRO-INDUSTRIES BEHAVIOUR AND ITS PRODUCTS ANDRÉA DA CRUZ LEONEL SALVADOR, Departamento de Indústria – IBGE; ALEXANDRE PESSOA BRANDÃO, Departamento de Indústria – IBGE; WASMÁLIA S. B. BIVAR, Departamento de Indústria - IBGE This study does have objective to analyse the performance from the Brazilian section agroindustrial and to compare the many sections from the agro-industry. In this case is used the database deriving from the Annual Industrial Research of Brazil of 1998 until 2000 year. The earliest effects show the importance of agro-industry in Brazil, as well as segments that are more importante, such as the tobacco, celulosis, chemicals commodities, among others. Endereço para correspondência: Andrea da Cruz Leonel Salvador, Departamento de Indústria, IBGE, Av. República [email protected]. do Chile, 500, 4º andar CEP 20031-170, e-mail: COMPARISON BETWEEN GROUPS OF EXPERIMENTS IN COMPLETE BLOCK DESIGNS AND SQUARE LATTICE DESIGN WITH SOME COMMON TREATMENTS Antônio Carlos de OLIVEIRA, Embrapa Milho e Sorgo, Caixa Postal:151, Sete Lagoas/MG, CEP. 35700-970, e-mail: [email protected], Tel.0XX(31) 3779.1042. The strategy of settling down a group of experiments, with common treatments, and to consider the combined analysis of those experiments, as an alternative to the square lattice design, was evaluated. The results showed that the use of the groups of experiments implicates in the loss of precision of the comparisons among means of treatments that don't belong to a same experiment, and that the relative disadvantage of that procedure grows with the increases the number of used experiments. Index terms : incomplete block designs, augmented designs. ADJUSTMENT OF LACTATION CURVES THROUGH GENERALIZED LINEAR MODELS A. COLDEBELLA, C.G.B. DEMÉTRIO, P.F. MACHADO, P.J. RIBEIRO Jr. In this paper we present an alternative for the adjustment of lactation curves based on the incomplete gamma function using the theory of generalized linear models and a form jointly comparison of the parameters and testing of hypothesis of biological interest based on the Schwartz’s information criteria. ANALYSIS OF GROWING CURVES THROUGH MIXED MODELS: AN OPTION TO COMPARE FEEDING SYSTEMS FOR OUTDOOR BROILER PRODUCTION A. COLDEBELLA, V.S. de AVILA, E.A.P. de FIGUEIREDO, C. BELLAVER, P.A.R. de BRUM Performance was evaluated for three feeding systems of outdoor broiler production by the adjustment of polynomial mixed models. The best feeding system was on 20, 18 and 16.5% of crude protein in the initial, growing and finishing phases, respectively and 3000 kcal of ME/kg of diet. CRUZAMENTO DIALÉLICO PARCIAL CIRCULANTE INTERPOPULACIONAL NA PREDIÇÃO DE HÍBRIDOS Bruno Grimaldo Martinho CHURATA, Prof. Depto de Estatística, Caixa Postal: 19081, Curitiba/PR, CEP. 81531-990, e-mail: [email protected], Tel. 0 XX (41) 369.3654.; Cosme Damião CRUZ, Prof. Depto de Biologia Geral, UFV, e-mail: [email protected], Tel. 0XX (31) 3899.2513. The partial circulant diallel cross mating scheme of Kempthorne and Curnow (1961) was adapted for the evaluation of genotypes in crosses at the interpopulation level. Considering a random sample of n lines from base population UFV-F, and that each line is crossed with s lines from opposite population UFV-D, there will be ns sampled crosses that are evaluated experimentally. The means of the ns sampled crosses and the remaining n(n - s) crosses can be predicted by the reduced model Yˆij = m ˆ + gi + g j . The analysis of variance is performed with the complete model Yij = µ + gi + gj + sij + e ij, and the sum of squares due to general combining ability were considered for each population separately. Results indicated that the proposed procedure may furnish reliable estimates of means of hybrids not available in the partial diallel. CARACTERIZATION OF VISITORS OF GORILA’S PRECINCT IN FUNDAÇÃO ZÔO-BOTÂNICA DE BELO HORIZONTE Carla Blandina Martins RODRIGUES, Profª. Substituta de Biologia, CP-UFMG – Centro Pedagógico da Universidade Federal de Minas Gerais, e-mail: [email protected] , Tel. 0xx(31) 3499-1188.; Sérgio Ricardo Silva MAGALHÃES, Prof. Assistente I de Matemática e Estatística, UNINCOR - Universidade Vale do Rio Verde de Três Corações (Campus Betim), CCG-UNA – Centro Universitário de Ciências Gerenciais, e-mail: [email protected], Tel. 0 XX (31) 3592-1165.; Ednaldo Antônio de ANDRADE, Prof. Adjunto de Estatística, CESUR – Centro de Estudos Superiores de Rondonópolis, e-mail: [email protected], Tel. 0 XX (66) 423-2458. The Fundação Zoo-Botânica de Belo Horizonte (FZB-BH) have preocupation in to develop education pratices with people, proporcioning oppostunities to know and valorizate the life condictions, behavior and vital surroudings of the animals. It’s fundamental the knowledge of visitors and your perception about this aspects. It’s draw attention the aspects about gorila’s visitor: gereral profile, feelings/impressions about gorila, informations haved and the will like of to know. Index Terms: descritive statistic, ambiental education, gorila. LIFE QUALITY IN WORK OF INFORMATIC PROFESSIONALS Carla Blandina Martins RODRIGUES, Profª. Substituta de Biologia, CP-UFMG – Centro Pedagógico da Universidade Federal de Minas Gerais, e-mail: [email protected] , Tel. 0xx(31) 3499-1188.; Sérgio Ricardo Silva MAGALHÃES, Prof. Assistente I de Matemática e Estatística, UNINCOR - Universidade Vale do Rio Verde de Três Corações (Campus Betim), CCG-UNA – Centro Universitário de Ciências Gerenciais, e-mail: [email protected], Tel. 0 XX (31) 3592-1165.; Ednaldo Antônio de ANDRADE, Prof. Adjunto de Estatística, CESUR – Centro de Estudos Superiores de Rondonópolis, e-mail: [email protected], Tel. 0 XX (66) 423-2458. The life quality in modern site have to improve big people’s interest, especially in cientists to look at to improve. Therefore, this work colaborate, seeing that try to mensurate the computer’s influence in life quality in work of informatic professionals. Palavras chave: descritive statistic, life quality in work, informatic. A PARAMETRIC APPROACH OF SECRETARY PROBLEM CARLA REGINA GUIMARÃES BRIGHENTI, Departamento de Ciências Exatas, UFLA, [email protected]; LUCAS MONTEIRO CHAVES, Departamento de Ciências Exatas, UFLA, [email protected] The present work has as objective to develop a optimal strategy with samples of known distribution. The variables are observed sequentially, and as in the classical secretary problem, exactly one choice is made. The new strategy presented probability equal to the 1/e, considering the quantile ξ p = ln( N ) to exponential distribution using p = (N-1/N). λ Endereço para correspondência: Carla Regina Guimarães Brighenti, Departamento de Ciências Exatas, Universidade Federal de Lavras, Caixa Postal 37, CEP 37200-000, e-mail: [email protected] THE USE OF TIME SERIES TO ANALYZE MARKET STOCK PRICES Carlos Armando SONCIN, Aluno do Curso de Economia Agroindustrial, ESALQ - USP e Bolsista PIBIC/CNPq no Depto de Ciências Exatas, Caixa Postal 11, Piracicaba, SP, CEP. 13418-900, e-mail: [email protected].; José Eduardo CORRENTE, Prof. Associado do Depto. de Ciências Exatas, ESALQ – USP, Caixa Postal 11, Piracicaba, SP, CEP. 13418900, e-mail: [email protected]. Tel. (0xx19) 3429-4127, ext. 220. Time series can be seen as a realization of stochastic processes over time. In the stock market these techniques can be applied to get information about the behavior of the historical prices. The aim of this work is to use time series to analyze stock prices of EMBRAER. It was used AR, MA and ARIMA processes to estimate the model. Key words: time series, stock prices, autocorrelation and partial autocorrelation functions, auto-regressive models, moving average models, auto-regressive and integrated moving average models. EVALUATION OF QUADRATURES TO OBTAIN BIVARIATE NORMAL DISTRIBUITION PROBABILITIES CARLOS DOS SANTOS, Prof. Ms. Centro de Engenharias e Ciências Exatas, Caixa Postal: 861, Foz do Iguaçu/PR, CEP. 85870-900, email: [email protected], TEL. 0XX(45) 5752727.; DANIEL FURTADO FERREIRA, Prof. Dr. Depto de Ciências Exatas, Caixa Postal:37, Lavras/MG, CEP. 37200-000, e-mail:[email protected], Tel. 0 XX (35) 3829.1369.; JULIANO FIDELIS, Acadêmico Curso de Licenciatura em Matemática, CEP:85868-000, TEL. 0xx(45) 524-4186.; JÚLIO SILVIO DE SOUSA BUENO FILHO, Prof. Dr. Depto de Ciências Exatas, Caixa Postal:37, Lavras/MG, CEP. 37200-000, Tel. 0XX (35) 3829.1369. The objective of that work was it of obtaining probabilities of the bivariate normal distribution function by means of methods of numeric integration. While in Simpson's method, just using 12 intervals for x and y, the mistake was zero, for the trapezes method, with 16 intervals, the mistake was still of 0.0001. MODELING THE GROUND-WATER DEPTH OF A WETLAND AREA IN LAVRAS, MINAS GERAIS STATE, BRAZIL Carlos Rogério de MELLO, Pós-graduando, Departamento de Ciência do Solo, UFLA, Caixa Postal 37, Lavras, MG, CEP 37200-000, e-mail: [email protected], Tel: 3821-7143.; Diego LOPES, Aluno Iniciação Científica, Departamento de Ciência do Solo, UFLA, Caixa Postal 37, Lavras, MG, CEP 37200-000. Bolsista da FAPEMIG.; José Maria de LIMA, Prof. Departamento de Ciência do Solo, UFLA, Caixa Postal 37, Lavras, MG, CEP 37200-000, email: [email protected], Tel: 3929-1332. Bolsista do CNPq. Wetlands are important agricultural areas in Brazil. Models for predicting the groundwater depths are important tools for management in these areas. This work aimed to adjust mathematical models for predicting ground water depths based on the water balance data, from twelve wells opened over in wetland area and monitoring weekly. Keywords: Modeling, water table, water balance, wetlands, Thiessen Method. DETERMINATION OF THE GENUCHTEN EQUATION PARAMETERS OF A CAMBISSOL FROM LAVRAS, MINAS GERAIS STATE, BRAZIL Carlos Rogério de MELLO, Pós - graduando, Departamento de Ciência do Solo, UFLA, Caixa Postal 37, Lavras, MG, CEP 37200-000, e-mail: [email protected]. Tel.: 3821-7143, bolsista CAPES.; Geraldo César de OLIVEIRA, Prof. Setor de Solos, Escola de Agronomia/UFG, Goiânia, GO.; Daniel Furtado FERREIRA, Prof. Departamento de Ciências Exatas, UFLA, bolsista CNPq.; José Maria de LIMA, Prof. Departamento de Ciência do Solo, UFLA, bolsista CNPq.; Diego LOPES, Aluno Iniciação Científica, Departamento de Ciência do Solo, UFLA, bolsista FAPEMIG. This work aims to model five equations for estimating Genuchten Equation Parameters based on percent of sand, clay, organic matter e bulk density, both of easy determination at laboratory. All equations can be applied because of the good statistical coefficients produced by adjust. Keywords: Cambissol, Genuchten Equation, Irrigation, Soil Moisture. SPACE VARIABILITY OF PHYSICAL ATTRIBUTES IN YELLOW RED PODZOLIC CULTIVATED WITH RUBBER TREE Cassiano Garcia Roque, Doutorando do Dpto de Solos e Adubos da UNESP/FCAV, Via de Acesso Paulo Donato Castellane, s/n, CEP 14870-000 Jaboticabal, SP, Brasil, e-mail [email protected], bolsista da FAPESP.; Gener Tadeu Pereira, Prof do Dpto de Ciências Exatas, UNESP/FCAV, e-mail [email protected],.; José Frederico Centurion, Prof do Dpto de Solos e Adubos da UNESP/FCAV, e-mail [email protected]. This work had for objective to evaluate the space variability of the porosity and density of the soil of an Yellow Red Podzolic cultivated with rubber tree of the clones PB 235 and RRIM 600, under uniform handling, in located experiment in Novo Horizonte in Sâo Paulo's state. A SIMULATION STUDY FOR MODEL UNCERTAINTY IN POISSON REGRESSION Cecilia Candolo, DEs-UFSCar [email protected] In statistical data analysis the inference is carried on without any account to model uncertainty. This work consider the approach of Candolo (2001) who explored the weighted estimator proposed by Buckland et al. (1997) with application to linear regression. Here, we use simulation to study the behaviour of this estimator for Poisson regression with one and two covariates, considering a range of sample sizes and regression parameters. We get similar results for the approachs of Buckland et al. (1997) and Candolo (2001) and in the bootstrap cases the study is not yet conclusive. STUDY AND APPLICATION OF THE R LANGUAGE: OPEN-SOURCE SOFTWARE CECÍLIA SATIE SHIRAIWA Math Department, FCT-UNESP ([email protected]) SÉRGIO MINORU OIKAWA Math Department, FCT-UNESP ([email protected]) The purpose of this study is to learn more about R language and to divulge it. R is an “open source” system, what means that source-code is available for inspection or for adaptation. R has many functions for statistical analyses and graphics. It can be downloaded for free in http://www.r-project.org. CONFIDENCE INTERVALS FOR POPULATION MEAN USING RANKED SET SAMPLING Cesar Augusto Taconeli – e-mail: [email protected] Departamento de Estatística – UFSCar; Dra. Maria Cecilia Mendes Barreto – e-mail: [email protected] Departamento de Estatística – UFSCar Ranked set sampling is adequate when the variable of interesting is expensive to measure, but it is possible to the order of possible outcomes. This paper presents a simulation study of the asymptotic properties of the ranked set sample mean estimator and the performance of usual confidence intervals when ranked errors are present for normal and exponential distribution. GROWTH CURVE’S ADJUSTMENT IN WEIGHT OF BROILERS UNDER A MULTIVARIATE APPROACH César Gonçalves de LIMA, Professor Dr. Depto. Ciências Básicas, FZEA/USP, Cx. Postal 23, CEP 14635-900, Pirassununga/SP, e_mail: [email protected], Tel: (19) 3565-4054; Vivaldo Francisco da CRUZ, Professor Aposentado do Depto. Ciências Exatas, ESALQ/USP, Cx. Postal 9, CEP 13418-900, Piracicaba/SP The present work had as objective to illustrate the application of the Multivariate Growth Curve Model, considered for Potthoff & Roy (1964), to a data set with repeated measures of weights of broilers, that exhibit a great heterocedasticy of variances over time. The behavior of the average profiles of weight of the broilers (male and female) well was explained by polynomials of second degree and the best adjustment included, as covariates, the referring columns to the polynomials of degrees 3 and 4. The analyses had been carried through using procedures GLM and IML of the SAS (1990). OBTAINING RELATIONSHIPS TO ESTIMATE TREE STEM VOLUME IN A MONTAIN SEMI-DECIDUOUS FOREST CHRISTIAN SORENSEN DE ALMEIDA LIMA Engenheiro Florestal, MSc., Gerente de planejamento da V&M Florestal; EDMILSON SANTOS CRUZ Departamento de Ciências Florestais, Universidade Federal de Lavras, [email protected]; JOSÉ ROBERTO SOARES SCOLFORO Departamento de Ciências Florestais, Universidade Federal de Lavras, [email protected]; ANTÔNIO DONIZETTE DE OLIVEIRA Departamento de Ciências Florestais, Universidade Federal de Lavras, [email protected]; JOSÉ MÁRCIO DE MELLO Departamento de Ciências Florestais, Universidade Federal de Lavras, [email protected] Volumetric models and form factors were tested for a mountain semi-deciduous forest. The medium form factor and volumetric equations were obtained. The estimated volumes did not differ when using for the form factor or the volumetric equations and the equation for each species presented better efficiency. Key words: volumetric models; form factors IDENTITY OF MODELS FOR SEVERAL GENETIC MATERIALS ENVISAGING SITE CLASSIFICATION CLÁUDIO ROBERTO THIERSCH Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; JOSÉ FÁBIO CAMOLESI Departamento de Ciências Florestais, UFLA, email: [email protected]; JOSÉ ROBERTO SOARES SCOLFORO Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; HONÓRIO KANEGAE JÚNIOR KST Serviços Técnicos Ltda., e-mail: [email protected] This study aimed at applying model identity tests that portray the relationship between the average height of dominant trees and diameter at breast height (DBH) in relation to time as well as building site index curves for groups of Eucalyptus clones using the “algebric difference method”. It was concluded that the identity of the models was sensitive enough to detect similarities and differences among clones in different management regimes or among clones subject to the same management regime. The Bailey and Clutter polymorphic model showed a better adjustment to the data base used. Key words: models identity, site index, Eucalyptus spp. WOOD BASIC DENSITY AND DRY MATTER WEIGHT PREDICTION AND PROGNOSIS BY DIAMETRIC CLASS, IN Eucalyptus sp. CLONE PLANTATION CLÁUDIO ROBERTO THIERSCH Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; JOSÉ ROBERTO SOARES SCOLFORO Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; HONÓRIO KANEGAE JÚNIOR KST Serviços Técnicos Ltda., e-mail: [email protected] This study aimed at evaluating the use of the pylodin and dendrometric variables in the prediction and prognosis of wood basic density in Eucalyptus sp. clone plantation. The modeling of wood basic density as a function of age, average dominant tree height, total height, diameter and pylodin measures taken at 1.3m of ground, allowed precise and exact prognosis. The system of projection of wood basic density showed to be feasible, precise and exact. Key-words: Pilodyn, modeling of wood basic density, diameter distribution. SISFLOR–SYSTEM FOR ANALYSIS OF REGRESSION WITH EMPHASIS IN MODELS USED IN FOREST BIOMETRICS CLÁUDIO ROBERTO THIERSCH Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; JOSÉ ROBERTO SOARES SCOLFORO Departamento de Ciências Florestais, UFLA, e-mail: [email protected]; MONICA FABIANA BENTO MOREIRA Departamento de Ciências Exatas, UFLA, e-mail: [email protected] The objective of the present work was to develop a software for adjustment and selection of volumetric models. The developed software is easy to use, could be integrated into databases, allowing the adjustment and selection of a great number of volumetric equations in a fast and correct way. Key words: statistical software, volumetric models, regression analysis. EVALUATION OF SUDAAN AND R ON ADDING SAMPLE SCHEME IN REGRESSION ANALYSIS WITH IBGE WAY OF LIFE DATA CLÉBER DA COSTA FIGUEIREDO, Mestrando Depto de Estatística, USP. Rua do Matão 1010, Butantã, São Paulo SP, CEP. 05508-900, e-mail: [email protected], Tel. 0 XX (11) 4752.3836.; MÔNICA CARNEIRO SANDOVAL, Profª Drª Depto de Estatística, USP. Rua do Matão 1010, Butantã, São Paulo SP, CEP. 05508-900, e-mail: [email protected] , Tel. 0 XX (11) 3818 6129; DENISE APARECIDA BOTTER, Profª Drª Depto de Estatística, USP. Rua do Matão 1010, Butantã, São Paulo SP, CEP. 05508-900, e-mail: [email protected], Tel. 0 XX (11) 3818 6129. We have studied Linear Regression Models for data analysis when the data set came from a complex survey. We shall consider aspects of the theory and an application utilizing the SUDAAN software and the “adac” library for R. We shall intend comparing the results that consider the complex survey with those that do not make the same assumption. A SIMULATION STUDY OF THE RELATIVE PRECISION OF VARIANCE ESTIMATORS FOR NORMAL DISTRIBUTION USING RANKED SET SAMPLING Clécia Aparecida Garcia, DEs/ UFSCar-São Carlos-SP-Brazil e-mail: [email protected]; Maria Cecilia Mendes Barreto, DEs/UFSCar -São Carlos-SP-Brazil e-mail: [email protected] The performance of variance estimators using ranked set sampling is obtained in a simulation study and compared with the variance of simple random sample for normal populations. The estimator based on best linear unbiased estimation has the better performance for different sample sizes. TÉCNICA PARA DECOMPOSIÇÃO ORTOGONAL DE GRAUS DE LIBERDADE DE TRATAMENTOS UTILIZANDO O PROC GLM DO SAS CRISTIANO NUNES NESI CEPAF/EPAGRI, [email protected] ANTONIO AUGUSTO FRANCO GARCIA Departamento de Genética, ESALQ/USP, [email protected] The test F in analysis of variance for sources of variation with more than a degree of freedom provides general information. Therefore, it should be planned objective comparisons, making orthogonal decompositions of the degrees of the treatments. The technique of analysis using dummy variables to facilitate the orthogonal decomposition of degrees of freedom of treatments was proposed. Endereço para correspondência: Cristiano Nunes Nesi, Centro de Pesquisa para Agricultura Familiar – CEPAF, Empresa Pesquisa Agropecuária e Extensão Rural de Santa Catarina EPAGRI, Caixa Postal 791, Chapecó/SC, CEP 89801-970, e-mail: [email protected] PARAMETRIC AND NONPARAMETRIC TESTS IN BMI DATA CRISTINA AYUMI AONO Departamento de Matemática, FCT/UNESP, [email protected]; EDUARDO CARDOSO DE OLIVEIRA Departamento de Matemática, FCT/UNESP, [email protected]; Mario Hissamitsu TARUMOTO DEPARTAMENTO DE MATEMÁTICA, FCT/UNESP, [email protected] Parametric and nonparametric tests were applied at BMI data for a 2nd year of Children School sample. Then the results were compared, objectifying to see what kind of mistakes we can do if we just apply some tests without any knowledge about the normality of data. MULTIVARIATE APPROACH OF THE PHENOTIPIC STABILITY INDEX BASED ON DEVIATIONS OF THE MAXIMUM DANIEL FURTADO FERREIRA – PROFESSOR ADJUNTO 4 DO DEPARTAMENTO DE CIÊNCIAS EXATAS DA UNIVERSIDADE FEDERAL DE LAVRAS, BOLSISTA CNPQ, EMAIL: [email protected]. The present work aimed to obtain the theoretical derivation of the stability and adaptability analysis methods of Lin and Binns (1988 and 1991). Percentage of the interaction effects explained by Pi was determined. It was obtained with success the theoretical derivation of the multivariate method of stability and adaptability analysis proposed. Key-words: genotypes x environments interaction, multivariate, deviations of the maximum. AN ASYMPTOTIC NORMAL APPROACH FOR THE VARIANCE EXACT CONFIDENCE INTERVAL OF A NORMAL POPULATION Daniel Furtado FERREIRA Universidade Federal de Lavras – Departamento de Ciências Exatas; [email protected]; Denismar Alves NOGUEIRA Universidade Federal de Lavras – Departamento de Ciências Exatas; [email protected] The variance of a population is an important parameter to be estimate. There are many areas that request precise estimates of the variance. The interval estimate has for purpose to express the precision of estimates of that parameter. This work aimed to present two confidence interval for the normal variance that result from the transformation of Wilson and Hilferty (1931) and from the asymptotic chi-square approach of Bishop, Fienberg and Holland (1975) and to evaluate its performances by means of Monte Carlo simulation using 2000 iterations. The confidence interval based on Wilson and Hilferty (1931) approach showed basically the same accuracy to the exact confidence interval to confidence coefficient varying from 10% to 99.99% and should be recommended for ν > 4; The interval based on the approach of Bishop, Fienberg and Holland (1975) can only be recommended for ν > 30, however the previous interval is considered better; The normal asymptotic interval presented robustness for non normal populations and it can be recommended to estimate variances of those populations in the absence of an exact or more efficient method for the situation in subject; The proposed confidence intervals do not need the estimate of chi-square quantis and present results similar to the exact interval. For great values of ν these methods possess larger accuracy, although in this situation the numerical methods are unstable for obtaining chi-square quantis; the educational value of those approaches should be considered for its uses and recommendations. KEYWORDS: asymptotic approach, chi -square, Monte Carlo, simulation. EFFECT OF THE FRUCTOOLIGOSACCHARIDES OF TUBEROUS YACON ROOT ON BONE MINERALIZATION - A STUDY IN MICE DANIEL KASHIWAMURA SCHEFFER Estatística, Universidade de São Paulo, [email protected]; DANIEL HAYAKAWA KAMO Estatística, Universidade de São Paulo, [email protected]; RINALDO ARTES Estatística, Universidade de São Paulo, [email protected]; ANTONIO CARLOS PEDROSO DE LIMA Estatística, Universidade de São Paulo, [email protected]; ALEXANDRE RODRIGUES LOBO Ciências Farmacêuticas, Universidade de São Paulo, [email protected] Researchers want to evaluate a possible Yacon benefit to calcium absorption on bones (femur and tibia) of growing mice. The purpose of this paper is design the researchers study providing information about the selection of experimental units’ proccess, sample size and suggestion of a suitable method to analyze the data. Endereço para correspondência. Daniel Kashiwamura Scheffer, e-mail: [email protected] THE CHAID TECHNIQUE LIKE ALTERNATIVE FOR LOGRANK TEST IN SURVIVAL ANALISYS DANIELA MARCHI TIAGO Depto. de Estatística, Universidade Federal de São Carlos, email: [email protected]; LAEL ALMEIDA DE OLIVEIRA Depto. de Estatística, Universidade Federal de São Carlos, e-mail: [email protected] The CHAID (Chi-square Automatic Interaction Detection) and Logrank techniques were compared in survival analysis situation. Bootstrap samples were used for Logrank’s test and CHAID. Kappa’s Coefficient indicated agreement between these techniques. The CHAID found another variables, however CHAID do not use the variable temp as Logrank. SEQUENCE ALIGNMENT IN LINEAR SPACE Deive Ciro de Oliveira Mestrando em Estatística – UFLA, [email protected]; Lucas Monteiro Chaves Departamento de Ciências Exatas – UFLA, [email protected]; UFLA – Universidade Federal de Lavras (Cx. Postal 37 – CEP 37.200.000 Lavras - MG) The improvement of technical approaches is a useful tool to minimize the cost of problems resolution. This paper describes the implementation of a Sequence Alignment algorithm that depends on linear advanced data types (array). This algorithm is useful to solve Computational Biology problems. Key-words: Sequence Alignment, Linear Space Complexity, Computational Biology. BIAS REDUCTION FOR THE DISTRIBUTION OF THE DEVIANCE FOR GAMMA DISTRIBUTION José Eduardo CORRENTE, Prof. Associado do Depto de Ciências Exatas, Caixa Postal:11, Piracicaba/SP, CEP. 13418-900, e-mail: [email protected], Tel. 0 XX (19) 3429.4127 ext.220.; Denise Nunes VIOLA, Profa. das Faculdades COC – Ribeirão Preto/SP e Aluna do PPG em Estatística e Experimentação Agronômica – ESALQ/USP, Piracicaba/SP, CEP. 13418-900, e-mail: [email protected]. The aim of this work is to develop a factor to add in the response variable from a gamma distribution in order to reduce the convergence order of the deviance distribution. This is made expanding in Taylor series the expected value of the deviance and vanishing terms involving order φ -1. Key words: gamma distribution, deviance, Taylor series, correction factor. CONVERGENCE DIAGNOSIS FOR GIBBS SAMPLING OUTPUT DENISMAR ALVES NOGUEIRA, Estudante de Pós-Graduação em Estatística e Experimentação Agropecuária, pela UFLA. [email protected] Universidade Federal de Lavras – Departamento de Ciências Exatas; Bolsista CAPES; THELMA SÁFADI, Prof(a) Adjunto(a) do Departamento de Ciências Exatas da UFLA. [email protected]; Universidade Federal de Lavras – Departamento de Ciências Exatas; DANIEL FURTADO FERREIRA, Prof(a) Adjunto(a) do Departamento de Ciências Exatas da UFLA. [email protected] Universidade Federal de Lavras – Departamento de Ciências Exatas; Bolsista CNPq The convergence diagnostics are tests that verify if the stochastic process has stabilized and than if it is possible to accomplish the sampling. In this work the behavior of four tests was compared on an intervention model with ARMA error and with simulated data. We observed that these approaches should be applied together since the joint information supplied for them is complementary. Index terms: Gibbs Sampling, Convergence, Intervention model. ESTIMATE THE CONFIDENCE INTERVALS TO THE PARAMETERS a, b, c OF THE RESPONSE PLATEAU MODELS THAT POSSESS MAXIMUM REZENDE, D.M.L.C.; MUNIZ, J.A.; FERREIRA, D.F. & AQUINO, L.H.; UNIVERSIDADE FEDERAL DE LAVRAS, LAVRAS, MG, BRAZIL. CEP: 37200-000 The objective was to estimate the confidence intervals for the parameters a, b, c of the response plateau models. It was used a factorial structure 2x9 with 8 replications. The experiment was repeated twice. The studied variable was tibia Zn level in ppm. Two ways of confidence intervals for the parameters were achieved, through SAS® software resultant variance and covariance matrix. Two nonlinear models and a quadratic model were compared. The variance and covariance matrix confidence interval was considered more accurate. ESTIMATION OF MACROPOROSITY USING COKRIGING EDNALDO CARVALHO GUIMARÃES FAMAT/UFU, e-mail: [email protected]; MARCELO TAVARES FAMAT/UFU, e-mail: [email protected]; DENISE GARCIA DE SANTANA ICIAG/UFU, e-mail: [email protected] This work show, through cross-semivariogram and cokringing analysis, the application of these geostatistical tools in the estimation of soil macroporosity, using the saturaded water content how co-variable. GROUP SCREENING METHODS COMPARISONS ELCIO DO NASCIMENTO CHAGAS Mestrando em Estatística / Experimentação Agropecuária, UFLA e-mail: [email protected]; LUCAS MONTEIRO CHAVES DSc. em Matemática (UNICAMP), Prof. Adjunto Depto . Ciências Exatas, UFLA e-mail: [email protected]; DANIEL FURTADO FERREIRA DSC. (ESALQ/USP), Prof. Adjunto Depto . Ciências Exatas, UFLA e-mail: [email protected] The group screening method consists in detecting effective elements in a population by the procedure of dividing this population in observation groups and tests these groups. The objective this theory is to determine the optimum group size that minimizes the expected number of tests. Two new approaches were proposed and compared with other procedures established. Keywords: Group screening, Number of tests, Binomial distribution CONSIDERATIONS ON KURTOSIS COEFFICIENTE ESTIMATION ELIANA MARA MANSO, Universidade Federal de Lavras, email: [email protected], bolsista CNPq; MARCELO ANGELO CIRILLO, Universidade Federal de Lavras, email: [email protected]; AUGUSTO RAMALHO DE MORAIS, Universidade Federal de Lavras, email: [email protected]; DANIEL FURTADO FERREIRA, Universidade Federal de Lavras, email: [email protected], bolsista CNPQ In the Statistical literature the kurtosis measures the peakedness of a density. Among the methodologies calculate the kurtosis in: the moments and percentile coefficients. By the monte Carlo simulation process they were evaluated and we conclude: for normal distributions they are equivalent, but in the not normal there are differences. DETERMINATING THE SAMPLE SIZE TO THE RESISTANCE THE PENETRATION IN TILLAGE AND NO TILLAGE MANAGEMENT IN CULTIVATED SOIL WITH CORN ELIAS DIAS COELHO NETO Acadêmico do curso de matemática – Bolsista PIBIC-UFU-CNPq; Marcelo Tavares Faculdade Matemática - Universidade Federal de Uberlândia [email protected]; EDNALDO CARVALHO GUIMARÃES Faculdade Matemática Universidade Federal de Uberlândia - [email protected]; ROGÉRIO DE MELO COSTA PINTO Faculdade Matemática - Universidade Federal de Uberlândia - [email protected]; RICARDO FALQUET Instituto de Ciências Agrárias (mestrando em Agronomia) - UFU The aim of this work was to determine the size of samples to estimate of the average resistance the penetration in tillage and no tillage management in soil cultivated with corn. The size for estimation of has shown larger than tillage, except in the depth of 10 to 20 cm. MODELING EARLY PROGNOSIS OF VOLUME PER DIAMETRIC CLASS OF EUCALYPTUS GRANDIS ELIZABETH C. REZENDE ABREU Depto de Ciências Florestais, UFLA, [email protected].; JOSÉ ROBERTO S. SCOLFORO Depto de Ciências Florestais, UFLA [email protected]; ANTÔNIO DONIZETE DE OLIVEIRA Depto de Ciências Florestais, UFLA [email protected]; JOSÉ MÁRCIO DE MELLO Depto de Ciências Florestais, UFLA [email protected]; DANIEL FURTADO FERREIRA Depto de Ciências Exatas, UFLA [email protected] This work had the objective of evaluate the prognosis accuracy and model capacity to conduct it precociously. The results showed that the precocious prognosis was efficient in estimate the volume a given error mean of 4.82% in estimation volume in site of 28.5m. Key words: Volume production modeling, early volume prognosis, diametric distribution A SIMULATION STUDY OF THE RELATIVE EFFICIENCY OF EXPERIMENTAL DESIGNS TO RANK GENOTYPES FOR SELECTION EMANUEL FERNANDO M. DE SOUZA Bolsista de Iniciação Científica PIBIC/FAPEMIG, Universidade Federal de Viçosa, [email protected]; LUIZ ALEXANDRE PETERNELLI Área de Estatística, Departamento de Informática, Universidade Federal de Viçosa, [email protected]; Group of completely randomized design experiments with common treatments (CRDCT) and augmented block design (ABD) were compared on their efficiency to rank genotypes. Compared to the real values, the general efficiency loss was about 45%, being worse for ABD. Compared to CRDCT, ABD showed 15% efficiency loss. REVIEW ON RANDOM REGRESSION UTILIZATION: AN EXAMPLE ON FITTING LACTATION CURVES OF BOVINE CATTLE ERIC BATISTA FERREIRA: Técnico em Laticínios, Eng. Agrônomo, Mestrando em Estatística e Exp. Agropecuária. This paper was in intention to make an illustrated review on random regression e its utilization on animal breeding. It was noted the use of linear e non-linear models on cattle lactation curves under fix methodology. It was presented the transition to the methodology called Henderson Mixed Models Theory and, finally, the development of Random Regression. It is a methodology to predict and estimate fixed and random parameters of the analyzed animals. This paper is finished with an illustrative example extracted from Cobuci Doctor’s thesis, 2002. There, the author works with animal breeding through the persistence in milk production and fits lactation curves under Random Regression models. Key-words: Animal breeding, Random Regression, Lactation Curves, Mixed Models Theory. MODELOS DE DISTRIBUIÇÃO ESPACIAL DE PRECIPITAÇÕES INTENSAS ÉRIKA CRISTINA DINIZ Departamento de Física – Instituto de Geociências e Ciências Exatas de Rio Claro – Unesp. E-mail: [email protected].; JOSÉ SILVIO GOVONE; ROBERTO NAVES DOMINGOS; Departamento de Estatística, Matemática Aplicada e Computação - Instituto de Geociências e Ciências Exatas de Rio Claro – Unesp E-mail: [email protected] Models related with precipitations generation have extremely importance nowadays because with the standard knowledge about an specific area, we can plan projects to minimize the effects caused by high intensity precipitations. At the present work, we applies NeymanScott’s model and particularly the one from Poisson, in the precipitations generations with high intensity in the Superior Tietê Bays’ region, São Paulo state, Brazil. This region suffer annually with the floods due to the strong precipitations and the high human density. To use the NeymanScott and Poisson models related to spatial precipitations distribution, we have considered data collected during 1980 to 1997 from a pluviometric network consisted by thirteen rain gauges. Key-words: Precipitations generation; Poisson's model; Neyman-Scott's model; stochastic models of precipitation. EVALUATION THE PRICES OF COFFEE: THE TIME SERIES APROACH ÉRIKA CRISTINA PIRES RUIZ, Aluna do Curso de Administração em Comércio Internacional das Faculdades Coc – Ribeirão Preto, SP, e-mail: [email protected].; BRUNA FONTOURA PIERI MANELLA, Aluna do Curso de Administração em Comércio Internacional das Faculdades Coc – Ribeirão Preto, SP, e-mail: [email protected].; DENISE NUNES VIOLA, Profa. Faculdades Coc – Ribeirão Preto, SP, e-mail: [email protected].; JOSÉ EDUARDO CORRENTE, Prof. Associado do Depto. de Ciências Exatas, ESALQ – USP, Caixa Postal 11, Piracicaba, SP, CEP. 13418-900, e-mail: [email protected]. tel. (0xx19) 3429-4127, ext. 220. The aim of this work is to use time series in order to fit a model to a price of exportation coffee from 1997 to 2000. It was possible to fit a autoregressive model with lag eight using YuleWalker solutions. . Residual plots and other diagnostics were made. Key words: coffee, time series, exportation, price. IDEAL NUMBER FAMILIES IN SELECTION PROCESS OF SELF-POLINIZATED PLANTS FÁBIO DE LIMA GURGEL Estudante de Doutorado em Agronomia/Genética e Melhoramento de Plantas da UFLA, [email protected]; DANIEL FURTADO FERREIRA Dr., Professor Adjunto do Departamento de Ciências Exatas da UFLA, [email protected]; MAGNO ANTONIO PATTO RAMALHO Dr., Professor Titular do Departamento de Biologia da UFLA, [email protected]. The purpose was how to determine the ideal families number to be evaluated in the process of selection in self-polinization plants, by means of two computational simulation alternatives. It was verified that the higher character herdability the smaller the effective population size necessary to get a genotypic value. Keywords: herdability, efective population size, genotypic value. SUMS OF SQUARES AND STATISTICAL HYPOTHESES IN MODELS WITH COVARIATES FOR UNBALANCED DATA SUPPLIED BY THE SAS SYSTEM FÁBIO NOGUEIRA DEMARQUI, SÉRGIO MINORU OIKAWA, FCT – UNESP – Campus de Presidente Prudente – SP e-mails: [email protected], [email protected] This work presents the sums of squares and statistical hypotheses in models with covariates for unbalanced data, being discussed the true hypotheses associated to the sums of squares of the types I, II, III and IV supplied by the SAS (Statistical Analysis System). STATISTICS EVALUATION OF THE STUDENTS OF AVERAGE EDUCATION WITH HIGH OR LOW FAMILIAR INCOME IN THE UNIVERSITY ENTRANCE EXAMINATIONS OF UNESP. FÁBIO ROBERTO CHAVARETTE Departamento de Estatística, Matemática Aplicada e Computação – Instituto de Geociências e Ciências Exatas - UNESP – C.P. 178, Rio Claro – 13500-230, SP. ([email protected]).; HARI MOHAN GUPTA Departamento de Física – Instituto de Geociências e Ciências Exatas - UNESP – C.P. 178, Rio Claro – 13500-230, SP. ([email protected]); JOSÉ SILVIO GOVONE Departamento de Estatística, Matemática Aplicada e Computação – Instituto de Geociências e Ciências Exatas - UNESP – C.P. 178, Rio Claro – 13500-230, SP. ([email protected]). In the present study, we compare the performance of the students of average education with high and low familiar income in the University Entrance Examinations of UNESP in years 1998, 1999 and 2000. Analysed 6 samples. The results are analysed by Student’s t-test for different average values with different unknown and population variances. The higher average value was obtained in students of high familiar income. Possibly these results can be explained through (i) conditions of school education (ii) student’s family (iii) time available for study in home. Address: Fábio Roberto Chavarette, Departamento de Estatística, Matemática Aplicada e Computação – Instituto de Geociências e Ciências Exatas - UNESP – C.P. 178, Rio Claro – 13500-230, SP, e-mail: [email protected]. PROPORTIONAL HAZARD ASSUMPTION EVALUATION FOR COX MODEL FABÍOLA ADRIANE CARDOSO, Departamento de Estatística, Universidade Federal de Minas Gerais; ENRICO ANTÔNIO COLOSIMO, Departamento de Estatística, Universidade Federal de Minas Gerais A very used model in a survival analysis is the proportional hazard model, also known as the Cox Model. Many books and articles have demonstrated the importance of verifying the proportional hazard assumption. However there isn’t a broad knowledge of the way to accomplish this task. On this job, some of the techniques presented for verifying the proportional hazard assumption are compared and evaluated. Endereço para correspondência: Fabíola A. Cardoso, Departamento de Estatística, Universidade Federal de Minas Gerais, e-mail: [email protected] BAYESIAN ANALYSIS OF LACTATION CURVE OF SAANEN GOATS FABYANO FONSECA E SILVA Departamento de Ciências Exatas, UFLA, fabyanobr@yahoo,com,br,; JOEL AUGUSTO MUNIZ Departamento de Ciências Exatas, UFLA, [email protected]; THELMA SÁFADI Departamento de Ciências Exatas, UFLA, [email protected]; LUIZ HENRIQUE DE AQUINO Departamento de Ciências Exatas, UFLA, [email protected]; The Bayesian methodology was used to fitted the Wood function for milk production of Saanen goats. Two groups were used in the analysis: first and second lactation. The marginal distributions each Wood functions parameters was obtained via Gibbs Sampler algorithm. The results showed notable difference for “a” and “b” parameters. Key words: Bayesian analysis, lactation curve, Gibbs Sampler SB DISTRIBUITION’S ACCURACY TO REPRESENT THE DIAMETRIC STRUCTURE OF Pinus taeda, THROUGH FIVE FITTING DIFFERENT METHODS FERNANDO CÉSAR VITTI TABAI Engenheiro Florestal, UFLA; MARCELA CRISTINA DE OLIVEIRA Mestranda em Engenharia Florestal – Florestas de Produção, UFLA [email protected]; BRENO RODRIGUES MENDES Mestrando em Engenharia Florestal – Florestas de Produção, UFLA [email protected]; PROF. DR. JOSÉ ROBERTO SOARES SCOLFORO Depto. de Ciências Florestais, UFLA, [email protected]; PROF. DR. ANTÔNIO DONIZETTE DE OLIVEIRA Depto. de Ciências Florestais, UFLA, [email protected] The main objectives of this study were verify the SB distribution’s accuracy in the estimation of diametric distribution of Pinus taeda in different spacing and ages using five different methods. All of the tested methods can be used to estimate the Pinus taeda stand’s theoretical frequency, independent of spacing and age, where the method of the Moments is preferential. The methods based on the Linear Regression and on the Mode are the most suitable for prognosis of the production. KEY WORDS: SB distribution, probability density function, Pinus taeda THE USE SPECTRAL TECHNIQUES IN THE ANALYSIS OF SPATIAL POINT PATTERNS FLÁVIO MATTAR SILVA Departamento de Engenharia Biomédica, Universidade Federal de São João Del - Rei, [email protected]; JOÃO DOMINGOS SCALON Departamento de Engenharia Biomédica, Universidade Federal de São João Del - Rei, [email protected] The aim of this work is to show how spectral techniques can be used for the analysis of spatial point patterns. The R- and Θ- spectra were applied for analyzing the spatial distribution of 42 nuclei cells. The results showed a rejection of the hypothesis of spatial randomness towards regularity. Key Words: Spatial Point Patterns, Spectral Analysis. Endereço para correspondência: João Domingos Scalon, Laboratório de Neurociência Experimental e Computacional, Departamento de Engenharia Biomédica, Universidade Federal de São João Del - Rei, Campus Dom Bosco, Praça Dom Helvécio 74, São João Del - Rei –MG, CEP 36301-160, [email protected]. THE " CD-ROM " AS A PROPOSAL FOR THE BASIC STATISTICS TEACHING FRANCISCO LUIZ VILAS BOAS Departamento De Ciências Exatas, Universidade Federal De Lavras, [email protected]; MARCELO SILVA DE OLIVEIRA Departamento De Ciências Exatas, Universidade Federal De Lavras, [email protected]; LUCI APARECIDA NICOLAU Departamento De Ciência Da Computação, Universidade Federal De Lavras, [email protected]; DENISMAR ALVES NOGUEIRA Departamento De Ciências Exatas, Universidade Federal De Lavras, [email protected] The " CD-ROM " in the Distance Learning, as option of democratization knowledge of the basic statistics. When being produced, the link's is used so that the several contents they are presented a planning, that provides effectiveness to the learning process. Where the teacher's sensibility in leading the learning has to is the priory, mainly with relationship to the Statistics teaching that should be personalized to the profile of each group. ACCURACY OF DIAMETER DISTRIBUTION PREDICTIONS USING THE TRANSITION MATRIX FREDERICO APARECIDO PULZ Engenheiro Florestal, Universidade Federal de Lavras; MARIA ZÉLIA FERREIRA Mestranda em Engenharia Florestal – Florestas de Produção, Universidade Federal de Lavras, e-mail [email protected]; PROF. JOSÉ ROBERTO SOARES SCOLFORO Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail [email protected]; PROF. ANTÔNIO DONIZETTE DE OLIVEIRA Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail [email protected] The main objective to evaluate the prognosis of the diameter structure using the transition matrix from three different measurement periods of the forest. It was also performed a comparison analysis of the prognosis generated through the transition matrix method with those obtained through the ratio of diameter movement method and the Wahlenberg's method. Key words: Prognosis, native forest, transition matrix, ratio of diameter movement, Wahlenberg's method PROGNOSIS OF THE DIAMETER STRUCTURE OF A MONTAIN SEMIDECIDUOS FOREST IN THE REGION OF LAVRAS, MG FREDERICO APARECIDO PULZ Engenheiro Florestal, Universidade Federal de Lavras; MARIA ZÉLIA FERREIRA Mestranda em Engenharia Florestal – Florestas de Produção, Universidade Federal de Lavras, e-mail [email protected]; PROF. JOSÉ ROBERTO SOARES SCOLFORO Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail [email protected]; PROF. ANTÔNIO DONIZETTE DE OLIVEIRA Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail [email protected] The main objectives of this study were to develop a prognosis model for the diameter struture of a montam semideciduos forest, to test its efficiency and to evaluate the effect of the measurement period based on the developed model. It was verified that to model, through the diameter movement ratio method, it will only be efficient for class superior to 45 cm of DBH (diameter of breast height). Key words: growth, mortality, ingrowth, dinamic, native forest, prognosis, diameter movement ratio method. SOIL CO2 EMISSIONS AFTER DIFERENTS TILLAGE SYSTEMS Gener Tadeu PEREIRA, Prof. Dr. Departamento de Ciências Exatas, FCAV-UNESP, e-mail: [email protected] , Tel. 0 XX (16) 3209.2625 / 3209.2624; Newton LA SCALA Júnior, Prof. Dr. Departamento de Ciências Exatas, FCAV-UNESP, e-mail: [email protected], Tel. 0 XX (16) 3209.2625 / 3209.2624; Afonso LOPES, Prof. Dr. Departamento de Engenharia, FCAV-UNESP, e-mail: [email protected], Tel. 0 XX (16) 3209.2637 / 3209.2638; José MARQUES Júnior, Prof. Dr. Departamento de Solos e Adubos, FCAV-UNESP, e-mail: [email protected], Tel. 0 XX (16) 3209.2672 / 3209.2673; Alan Rodrigo PANOSSO, Graduando em Agronomia, FCAV-UNESP, e-mail: [email protected], Tel. 0 XX (16) 3202.1706; Felipe Thomas da CAMARA, Graduando em Agronomia, FCAV-UNESP, e-mail: [email protected], Tel. 0 XX (16) 3202.0437 Agricultural soils are managed in several ways in Brazil and soil tillage may influence soil CO2 emissions in agricultural systems. Tillage systems and also the adjustments performed in one tillage system only produced significant differences in the short-term soil CO2 emissions. USE OF PROC MIXED/SAS TO ANALYZE MULTILEVEL MODELS FOR REPEATED MEASURE DATA Genevile Carife BERGAMO, Aluno de Doutorado do PPG em Estatística e Experimentação Agronômica, ESALQ/USP, Piracicaba/SP, e-mail: [email protected] , Tel. 0 XX (19) 3429.4127 R. 233.; José Eduardo CORRENTE, Prof. Associado, Depto de Ciências Exatas, ESALQ/USP e-mail: [email protected], Tel. 0 XX (19) 3429.4127 R. 220.; Maria Inêz B. B. BERGAMO, Profª Depto de Enfermagem, EFOA, Alfenas/MG e-mail: [email protected], Tel. 0 XX (35) 3299.1380. In this wok, PROC MIXED/SAS was used to analyze data from Elderly Care Program (ECP ) considering 22 months using multilevel models. It was verified bloody pressure are positively related to the Body Mass Index, independently of sex, race and marital status. Also, PROC MIXED/SAS was efficient to analyze this data. BLUE FOR THE MEANS AND LSMEANS IN THE LATTICE AND COMPLETELY RANDOMIZED BLOCKS DESINGS GISLIANE ALVES PEREIRA CURSO DE MATEMÁTICA – UNIVERSIDADE FEDERAL DE UBERLÂNDIA; MIRIAN FERNANDES CARVALHO CURSO DE MATEMÁTICA – UNIVERSIDADE FEDERAL DE UBERLÂNDIA; HEYDER DINIZ SILVA – FAMAT - UFU Key-words: linear models, estimable functions, experimental desings. These work aim to present the general forms of the SAS GLM means and lsmeans functions for the lattice and completely randomized blocks desings. BOOTSTRAP CONFIDENCE INTERVALS FOR BIOEQUIVALENCE TRIALS Gláucia Maria Bovi AMBROSANO, Prof. Associado da Faculdade de Odontologia de Piracicaba – UNICAMP, Piracicaba, São Paulo, e-mail: [email protected] José Eduardo CORRENTE, Prof. Associado do Depto. de Ciências Exatas, ESALQ – USP, Caixa Postal 11, Piracicaba, SP, CEP. 13418-900, e-mail: [email protected]. Tel. (0xx19) 3429-4127, ext. 220. According to the brazilian’s resolution, one of the farmacocinetics measures that can be evaluated in bioequivalence trials is Tmax , which the distribution is unknown and confidence intervals for the difference between test and reference medicine must be obtained by nonparmetric methods. The aim of this work is to compare methods to construct confidence intervals for this variable. Key words: bioequivalence trials, Tmax, bootstrap confidence interval, exponential distribution. EXPLORING SPATIAL PATTERNS OF THE CITRUS BLACK SPOTS DISEASE GLAUCY DA CONCEUIÇÃO ORTIZ, Depto. De Estatística, UFPR, email: [email protected]; PAULO JUSTINIANO RIBEIRO Jr., Depto. De Estatística, UFPR, email: [email protected] Tools for spatial exploratory analysis such as smoothers, variograms and K-funtions are used to detect spatial patterns of the citrus black spots disease. This allows formulating hypotheses about the biological mechanisms involved in the reproduction of the fungi which causes the disease and the associated patterns of the spreasing of the disease over the region. GERIATRIC DEPRESSION SCALE IN OUTPATIENTS SEEN BY THE UNIVERSITY HOSPITAL OF LONDRINA, PARANA Heber Soares VARGAS, DCLIN-CCS, UEL, e-mail: [email protected]; Tiemi MATSUO, DMAP-CCE, UEL, e-mail: [email protected]; Sergio Luís BLAY, Depto de Psiquiatria, UNIFESP, e-mail: [email protected]; Ana Maria BONAMETTI, DCLIN-CCS, UEL, e-mail: [email protected] The geriatric depression scale (GDS) was applied in 484 over sixty outpatients from the University Hospital (UEL). The internal consistency of the GDS by Cronbach’s alpha was 0.82. The cutoff point, by the curve ROC, was 12, the sensitivity was 86.7%, the specificity was 72.6% and the accuracy was 0.877. PROBABILITY DISTRIBUTIOON OF THE KLK2 GENE EXPRESSION IN PACINETS WITH PROSTATE CANCER. HEYDER DINIZ SILVA; JULIANA MEOLA; LUIS RICARDO GOULART FILHO In this work the probability distribution of the KLK2 gene expression in was evaluated. It was found that the log-normal distribution showed a good agreement with the gene expression distribution. The logarithmic transformation was sufficient for normalizing the data VIOLENT CRIMINALITY IN BELO HORIZONTE: FEAR OF RICTIMIZATION, ENVIROMENT AND VIOLENT EXPERIMENCES RELATIONSHIP ILKA AFONSO REIS, Departamento de Estatística, UFMG, [email protected] e Centro de Estudos em Criminalidade e Segurança Pública (CRISP), UFMG; EQUIPE TÉCNICA DA PESQUISA DE VITIMIZAÇÃO EM BELO HORIZONTE; Centro de Estudos em Criminalidade e Segurança Pública (CRISP), UFMG This work analyses some data from the Victimization Survey taken place in Belo Horizonte, MG, in 2002. The survey questionaire has a section about violence perception, fear and lack of security. The aim is to investigate the relationship between the violent experiences of the people and their feelings about victimization. Endereço para correspondência: Ilka Afonso Reis, Departamento de Estatística, Universidade Federal de Minas Gerais, Caixa Postal 702, CEP 30123-970, e-mail: [email protected] BEHAVIOUR EVALUATION OF PHYSIOLOGIC VARIABLES DURING PROLONGED PHYSICAL EXERCISE ILKA AFONSO REIS, Departamento de Estatística, UFMG, [email protected]; JAQUELINE MOURÃO, Departamento de Educação Física , UFMG; LESZEK ANTONI SZMUCHROWSKI, Departamento de Educação Física , UFMG This work investigates the behaviour of physiological variables in cyclists, as heart rate and intern temperature, during prolonged physical exercise. The aim is to verify the efficiency of the heart rate deflection point method in determining the anaerobic threshold, a important measure in the exercise physiology context. Endereço para correspondência: Ilka Afonso Reis, Departamento de Estatística, Universidade Federal de Minas Gerais, Caixa Postal 702, CEP 30123-970, e-mail: [email protected] RANDOMIZED RESPONSE TECHNIQUES WITH REAL DATA Isabelle Cons de Oliveira* Vilma Mayumi Tachibana**, Departament of Mathematics – FCT – UNESP – Presidente Prudente. Supported by FAPESP – FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO *[email protected] **[email protected] Randomized Response Techniques, the survey sampling procedures designed to obtain information on sensitive questions were applied to population of Statistics’ students in Faculty of Science and Technology – UNESP – Brazil. CURVE COMPARISON BY MEANS MIXED NON LINEAR MODELS Ivani Pozar OTSUK, Pesquisadora Científica – Instituto de Zootecnia - APTA/SAA, Nova Odessa, SP, CEP: 13460-000, e-mail: [email protected]; José Eduardo CORRENTE, Prof. Associado do Depto. de Ciências Exatas - ESALQ – USP, Piracicaba, SP, Caixa Postal 11, CEP: 13418-900, e-mail: [email protected]. Tel 0 XX 19 – 3429-4127, ext. 220.; Eliana Aparecida SCHAMMASS, Pesquisadora Científica - Instituto de Zootecnia APTA/SAA, Nova Odessa, SP, CEP: 13460-000, e-mail: [email protected]; Rosana POSSENTI, Pesquisadora Científica - Instituto de Zootecnia APTA/SAA, Nova Odessa, SP, CEP: 13460000, e-mail: [email protected]; João Batista de ANDRADE, Pesquisador Científico - Instituto de Zootecnia APTA/SAA, Nova Odessa, SP, CEP: 13460-000, e-mail: [email protected]; Wignez HENRIQUE, Pesquisadora Científica - Polo Regional de Desenvolvimento de Desenvolvimento Tecnológico dos Agronegócios do Centro Norte - APTA/SAA, e-mail: [email protected] Digestibility curves from a nonlinear models were fitted for an experimnt carry out at Instituto de Zootecnia, Nova Odessa with three varieties and four cultivars of corn. A mixed non linear model were fitted considering the parameters of the digestibility curve as random effects. No significance among curves were found. NEIGHBOURHOOD AND SPATIAL ANALYSIS IN GENETIC PLANT BREEDING JANAINA RIBEIRO COSTA Embrapa-CNPAB, e-mail: [email protected],; JÚLIO SÍLVIO DE SOUSA BUENO FILHO Depto de Ciências Exatas, Universidade Federal de Lavras (UFLA), e-mail: [email protected].; MAGNO ANTÔNIO PATTO RAMALHO Depto de Biologia, Universidade Federal de Lavras (UFLA), e-mail: [email protected]. Three forms of spatial analysis were compared to the GMN model in genetical experiments taking progeny effects as random. The local control was initially ignored to test the effectiveness of recovering spatial information. Then the spatial analysis was applied to the complete model. In some cases Papadakis and moving average models were the more effective. However, in most of the situations, GMN was the more parcimonious. Key-words: plant breeding, moving average method, Papadakis method, spatial analysis. Corresponding author: Janaina Ribeiro Costa, Embrapa-CNPAB, BR 465 (Antiga Estrada Rio São Paulo), Km 47, CEP 23890-000, Seropédica, R.J. E-mail: [email protected]. ASYMPTOTIC CONFIDENCE INTERVALS FOR MEAN OF THE LOGNORMAL DISTRIBUTION USING RANKED SET SAMPLING Janaina S. Brandão, DEs/ UFSCar-São Carlos-SP-Brazil e-mail:[email protected] Maria Cecilia Mendes Barreto, DEs/UFSCar -São Carlos-SP-Brazil e-mail: [email protected] The asymptotic distribution of the ranked set sample mean of the lognormal distribution is conducted in a simulation study for different sample size and replication. The results have indicated the good performance of the simulated coverage probabilities of the 99% confidence intervals based on normal distribution for every sample size and replication. PREDICTION OF THE INDEX OF MINERALIZATION OF THE NITROGEN IN SOILS THROUGH THE COMPARISON OF NON-LINEAR MODELS. Janser Moura PEREIRA, Depto de Ciências Exatas, UFLA, e-mail: [email protected], Tel. 0 XX (35) 3826.4243.; Joel Augusto MUNIZ , Prof. Depto de Ciências Exatas, UFLA, email: [email protected],Tel. 0 XX (35) 3829.1376. Eight mathematical models described in the literature are compared in the present work. The fitting of the mathematical models was done using SAS-ProcNLIN (SAS Institute, 1990), an iterative method using MARQUARDT algorithm. The model of Marion is the one that best describes the mineralization process of organic N. SELECTION INDICES METHODOLOGY IN BREEDING OF ALFAFA João RIBOLDI, Dinara W. X. FERNANDEZ, Michele Hartmann FEYH, Gabriela Holz BOFFO, Adriana Medeiros de LEMOS – Departamento de Estatística – UFRGS. The data of several agronomic traits to alfafa population, formed by three hundred plants, were investigated in the context of selection index methodology. Eight types of selection indices were establishes. It is recommended the use of indices because they combine the various information allowing to selection more adequat plants. HARMONIC ANALYSIS ON TEMPERATURE DATA JOÃO RICARDO VIOLA DOS SANTOS, Biometría, IAPAR, [email protected]; INÊS FUMIKO UBUKATA YADA, Biometría, IAPAR, [email protected] The purpose of the present paper was to study the monthly mean temperature of Londrina, PR, through their harmonic components and to synthesize those components wich showed significance. Through of stability of the components harmonic was verified the waves with periods of four, six and twelve months. João Ricardo Viola dos Santos (Bolsista do PIBIC/CNPq/IAPAR), Instituto Agronômico do Paraná (IAPAR), Caixa Postal 841, CEP 86001-970, Londrina- PR, e-mail: [email protected] A QUALITATIVE BOARDING IN EVALUATION OF INSTITUTIONS OF SUPERIOR EDUCATION JOÃO VIEIRA NETO (UNOCHAPECÓ – Chapecó, SC) This work used the Clauter Analysis for interpretation of data. They used data form yilded by the institucional evaluation of the Unochapecó/2002. The analysis directed it the evaluation of the professors. It was possible to identify three standards of evaluation, what it allowed to group the courses in three groups. KEY-WORD: Multivarieate analysis, Clauter analysis, institucional evaluation. A COMPARATIVE BOOTSTRAP SIMULATION STUDY OF CHAID AND CART JORGE LUIZ MARQUETTI DA SILVA * LAEL ALMEIDA DE OLIVEIRA * * Departamento de Estatística – Des - UFSCar The " Chi-square Automatic Interaction Detection " (CHAID) and " Classification and Regression Trees " (CART), are compared in simulation studied using of 500 samples. The simulation has showed that CHAID has better performance in the classification rates than CART. MODELLING OVERDISPERSION BY A GENERALIZED LINEAR MIXED MODEL VIA PQL JOSÉ AIRTON RODRIGUES NUNES, Doutorando em Agronomia - Genética e Melhor. Plantas, Depto . de Biologia, UFLA, e-mail: [email protected].; AUGUSTO RAMALHO DE MORAIS, Prof. Depto . de Ciências Exatas, UFLA, e-mail: [email protected].; JÚLIO SÍLVIO DE SOUSA BUENO FILHO, Prof. Depto . de Ciências Exatas, UFLA, e-mail: [email protected]. Binomial data with extrabinomial variation are found frequently. The objective was applying GLMM for modelling the overdispersion using glimmix-SAS, glmmPQL-R and an algorithm implemented in R derived from penalized quasi-likelihood. Suggested implementations explained the data in an acceptable way. The new algorithm yield results identical to SAS glimmix. KEYWORDS: Algorithm, extrabinomial variation, penalized quasi-likelihood, deviance, germination trial. CONFIDENCE LIMIT OF THE NINES PROOF José Antônio LEITE (UFLA); Augusto Ramalho de MORAIS (UFLA); Mário Javier Ferrua VIVANCO (UFLA) e Maria Elisa Pereira Bastos de SIQUEIRA (EFOA) The “NINES OUT” checking method is the best and almost always preferred, but it not always show an error, although only revealing errors which have really does occurred. The present paper is an attempt to demonstrate the restrictions of the “NINES OUT” method and also a suggestion of secure method of checking operations. ESTIMATION OF THE MODEL OF FORECASTING CONSUMPTION OF ELECTRICITY IN THE STATE OF PARANÁ José Carlos DALMAS, UEL/UNIPAR, e-mail: [email protected]; Décio Antonio BARAVIERA, UNIPAR; Orlando da SILVA, UNIPAR; Rosely Antunes de SOUZA, CEFET-PR; Silvana Ligia Vincenzi BORTOLOTTI, CEFET-PR; Tiemi MATSUO, UEL, e-mail: [email protected] An analysis of the electricity consumers in the State of Paraná. Using instruments and Statistical methods in the development Model of Forecasting consumption. An analysis in the end will define if the governmental campaign cased affect in the consumption of electricity in the State of Paraná. Key-words: Model of forecasting, Sarima, season, electricity. DETERMINATION OF SAMPLING INTENSITY FOR ESTIMATION THE SOLUBLE SOLIDS CONTENT IN MELON PLOT JOSÉ ERIVAN TORQUATO1 , GLAUBER HENRIQUE DE SOUSA NUNES1 , FANCISCO BEZERRA NETO 1 , RUI SALES JÚNIOR1 , ELAÍNE WELK LOPES PEREIRA 1 1 Escola Superior de Agricultura de Mossoró-ESAM, Departamento de Fitotecnia, C.P. 137, CEP 59625-900, Mossoró-RN. E-mail: [email protected] . The present work had the objective to determine the sample size and estimate the soluble solids content in melon plots. It was used Bootstrap simulation model in a sample of 50 fruits. The sample ideal size for this trait was of 22 fruits. Index Terms: Cucumis melo L. , sampling size, Bootstrap model. EVALUATION OF GENETIC PARAMETER ESTIMATION IN CIRCULANT DIALLELS BY BOOTSTRAP JOSÉ IVO RIBEIRO JÚNIOR, CARLOS HENRIQUE OSÓRIO SILVA, NERILSON TERRA SANTOS, Setor de Estatística, Departamento de Informática, Universidade Federal de Viçosa. FÁBIO MEDEIROS FERREIRA, Doctorate student, Genética e Melhoramento, Universidade Federal de Viçosa. Corresponding author: [email protected] We compare estimates of the general combining ability obtained from circulant diallels with the analogous estimates obtained from a complete diallel. We generated a total of 12000 alternative circulant diallels by resampling of the complete diallel and evaluated the sample distribution of GCA by the Bootstrap method and set up acceptance limits using normal distribution theory. Key Words: Circulant diallel, bootstrap, general and specific combining ability, simulation. RESPECT THE USE OF THE ARITHMETIC MEAN TO THE NORMAL CURVE JOSÉ MARCELO PONTES ([email protected] ) Prof. Ms. Dep. de Matemática da Universidade do Estado de Mato Grosso.; MARCELO SILVA DE OLIVEIRA ([email protected]) Prof. Dr. Dep. de Ciências Exatas da Universidade Federal de Lavras. This research found to investigate the source of the use of the arithmetic mean with noticeable data, like a good estimate to actual value of attribute in studying. The first researchers who used the arithmetic mean up to its probabilty interpretation, which rendered favorable most emphasis in this work. Key words: Laws of the errors, least square, maximum likelihood and arithmetic mean. GEOSTATISTICAL MODEL SELECTION FOR ESTIMATION OF TIMBER VOLUME IN EUCALYPTUS GRANDIS PLANTATION FORESTS JOSÉ MARCIO DE MELLO, Universidade Federal de Lavras (DCF), [email protected] JOÃO L. F. BATISTA, Escola Superior de Agricultura Luiz de Queiroz (LCF), [email protected] MARCELO SILVA DE OLIVEIRA, Universidade Federal de Lavras (DEX), [email protected] HONÓRIO KANEGAE JR., KST Serviços Ténicos Ltda, [email protected] This paper evaluates the performance of statistical techniques for selecting geostatistical models. The data set used was composed by 134 sampling plots of a Eucalyptus grandis plantation forest, where timber volume (m3/ha) was measured. Cross-validation and predictive validation are essential for appropriate model selection and both techniques resulted in same selected model. However, cross-valiation over-estimated the krigging precision of all tested models. Keywords: Geostatistics, modelling spatial, validation, Eucalyptus grandis. VARIANCE’S BAYESIAN ANALYSIS OF SHUKLA PHENOTYPIC STABILITY USING SAS MIXED JOSÉ MIGUEL COTES-TORRES, Doutorando do curso Genética e Melhoramento de Plantas, Depto de Ciências Exatas, FCAV/UNESP. e-mail: [email protected]; ADHEMAR SANCHES, Professor Adjunto do Depto. de Ciências Exatas, FCAV/UNESP. e-mail: [email protected] The aim of this research was in estimating the variance component of phenotypic stability variance of Shukla by SAS MIXED. When the data are unbalanced and the estimated variance component are negative or zero, the bayesian analysis gives estimates and highest probability density more feasible than the REML method. Endereço para correspondência: Prof. Dr. Adhemar Sanches. . Depto de Ciências Exatas. Faculdade de Ciência Agrárias e Veterinárias de Jaboticabal – Universidade Estadual Paulista FCAV/UNESP. CEP 14884-900, e-mail : [email protected]. GS MACRO FOR GEOSTATISTIC ANALYSIS ON SAS JOSÉ MIGUEL COTES-TORRES, Doutorando do curso Genética e Melhoramento de Plantas, Depto de Ciências Exatas, FCAV/UNESP. e-mail: [email protected]; GENER TADEU PEREIRA, Prof. Dr. Depto de Ciências Exatas, FCAV/UNESP. e-mail: [email protected]; ADHEMAR SANCHES, Prof. Dr. Depto de Ciências Exatas, FCAV/UNESP. e-mail: [email protected]; JOSÉ MARQUES JÚNIOR, Prof. Dr. Depto de Solos e Adubos, FCAV/UNESP. e-mail: [email protected] The aim of this research was in estimating the variance component of phenotypic stability variance of Shukla by SAS MIXED. When the data are unbalanced and the estimated variance component are negative or zero, the bayesian analysis gives estimates and highest probability density more feasible than the REML method. Endereço para correspondência: Prof. Dr. Gener Tadeu Pereira. . Depto de Ciências Exatas. Faculdade de Ciência Agrárias e Veterinárias de Jaboticabal – Universidade Estadual Paulista FCAV/UNESP. CEP 14884-900, e-mail : [email protected]. REPLY SURFACE - EFFECT Of the MOLIBIDATO OF ZINC And BIOTECH In the DESEMVOLVIMENTO OF COFEE TREE CHANGES (Arabian Coffea L) José Waldemar da SILVA, DEX/UFLA, Tel. 0XX(35) 3826-4243, e-mail: [email protected], Francisco Dias NOGUEIRA, EPAMIG/UFLA- DCS Tel. 0XX(35) 3829-1270, e-mail: [email protected], Paulo Tácito Gontijo GUIMARÃES, EPAMIG/UFLA- DCS Tel. 0XX(35) 3829-1270, [email protected], The present work had for objective to evaluate the citric acid effect, of the molibitado one of zinc on the performance of the diameter of caule, pair of leaf and length of root in cofee tree changes, through seuperfície of reply. The used delineation was entirely to perhaps in factorial arrangement (4x3). NON-PARAMETRIC APPROACH TO THE BEHRENS-FISHER PROBLEM USING BOOTSTRAP JULIANA CARVALHO NERY - Aluna do 70 período do Curso de Administração da Universidade Federal de Lavras, e-mail: [email protected]; DANIEL FURTADO FERREIRA – Prof. Adjunto do Departamento de Ciências Exatas da Universidade Federal de Lavras, e-mail: [email protected]; LUCAS MONTEIRO CHAVES - – Prof. Adjunto do Departamento de Ciências Exatas da Universidade Federal de Lavras, e-mail: [email protected]. This work intended to evaluate the power and type I error rates of a non parametric test proposed by Brunner and Munzel (2000) and a bootstrap alternative of that approach. The found results were compared to the parametric Student t test and to the non parametric test of MannWhitney (1947). Key-Words: nonparametric tests, Behrens-Fisher, bootstrap, simulation, heterogeneous variances. META-ANALYSIS OF HERITABILITY ESTIMATES FOR WEANING WEIGHT IN ZEBU CATTLE JULIANA DI GIORGIO GIANNOTTI, IRINEU UMBERTO PACKER A meta-analysis was used to summarize 162 published estimates of heritability for weaning weight in zebu cattle, from reports published during the years of 1968 to 2002. Because of lack of homogeneity among the studies, data were analyzed with random effect models. The pooled heritability for weaning weight was 0.21. A STUDY ON EFFECTS OF UNCERTAINTY LEVELS IN THE PARAMETERS IN SPATIAL PREDICTION JULIANA GARCIA CESPEDES, ESALQ – USP; PAULO JUSTINIANO RIBEIRO JR, Universidade Federal do Paraná; Endereço para correspondência: Juliana Garcia Cespedes, Departamento de Ciências Exatas, ESALQ - USP, Caixa Postal 9, CEP: 13418-900, e-mail: [email protected]. Usually in a statistical model we derive the standard errors for maximum likelihood estimates. However, that ignores the uncertainty of the parameters. Bayesian inference provides a general solution to the problem. In this paper, we intend to study the influence of these analyses through the predictions of a spatial surface. BAYESIAN ANALIYSIS OF INDIVIDUAL GENETIC MODELS USING IMPORTANCE SAMPLING JÚLIO S. DE S. BUENO FILHO, Departamento de Ciências Exatas – UFLA, Lavras, MG – Brasil, [email protected]; STEVEN G. GILMOUR, Quenn Mary, University of London, United Kingdom, [email protected] Individual genetic models are powerful tools for plant and animal breeders. Animal breeders usually analyse genetic values based on animal models as presented by Henderson (1984). Bayesian analysis of these models, usually use Gibbs Sampling (GS) via Markov Chain Monte Carlo (MCMC) simulation, that has some known disadvantages. We show how to use Sampling-Importance-Resampling (SIR) to make a discrete aproximation of the true posterior posterior, and illustrate this with a numerical example. COMPARISON BETWEEN CART AND CHAID WHITH DEPENDENT VARIABLE FOUND BY FACTORIAL ANALYSIS LAEL ALMEIDA DE OLIVEIRA *; JORGE LUIZ MARQUETTI DA SILVA *; MIRIAM BRATFISCH VILLA **; * Departamento de Estatística – DEs – UFSCar; ** Departamento de Psicologia - USP – Ribeirão Preto The 31 itens of Matrimonial Social Abilities questionnaire were reduced in 5 factors through one it Factorial Analyzes, and factorial scores were considered as dependent variables in the adjustment of CART and CHAID classification trees. The data showed that CART was lightly better in classification terms. THE ROBUST AND ADAPTABILITY OF PREFERENCE MODELS DECLARATED (SP) IN THE VALUATION OF THE ATRIBUTES FOR THE PROFISSIONAL CHOICE OF THE CANDIDATE LEONARDO STURION, Prof. Eng.Agr. Dr: – Departamento de Matemática Aplicada – UEL Londrina-PR. Ana neri, 299 CEP.86.010-630 e-mail: [email protected].; JOSÉ ANGELO BELLONI, Prof Dr. – Departamento de Estatística – UNB – Brasília – DF. CEP 70843-120 e-mail: [email protected]; LUIZ CARLOS FABRÍCIO DE MELO, Acadêmico do Curso de Matemática da UEL Londrina-PR. R. João Lot, 72 CEP 86075-246 e-mail: [email protected] This work shows an empirical application of stated reference models. The methodology consists in obtaining the opinion of the target public about an interest subject. The objective is to evaluate future expectations of this public facing new alternatives. The ones who answered it will arrange the alternatives according to preference. Key words: Stated preference models; Methodology; Alternatives “A NEW ADMITION PROCESS OF THE CANDIDATES FOR COLLEGE PROGRAM” LEONARDO STURION, Prof. Eng.Agr. Dr: – Departamento de Matemática Aplicada – UEL Londrina-PR. Ana neri, 299 CEP.86.010-630 e-mail: [email protected]; JAIR DO SANTOS LAPA, Prof PhD – Departamento de Engenharia de Produção – UFSC – Florianópolis – SC. e-mail: [email protected]; LUIZ CARLOS FABRÍCIO DE MELO, Acadêmico do Curso de Matemática da UEL Londrina-PR. R. João Lot, 72 CEP 86075-246 email: [email protected] The University entrance exams know as “vestibular” have show inefficacious to evaluate skills of candidates. This work presents an alternative admission process based on the results from ENEM – High schools national exam; brings (equality) to the competition preserving the quality of admitted students. Key words: University; ENEM; Quality. GENERALIZED LOGNORMAL DISTRIBUTION IN GROUPED SURVIVAL DATA Liciana Vaz de Arruda SILVEIRA, IB/UNESP, e-mail: [email protected]; José Raimundo De Souza PASSOS, IB/UNESP, e-mail: [email protected]; Enrico Antonio. COLOSIMO, ICEx /UFMG, e-mail: [email protected] Different models can be fitted for grouped survival data, in some situations the assumptions of these models can be violated. The aim of this work is to propose the use of generalized lognormal distribution (Chen, 1995) to these models. CLASSIFICATION OF COEFFICIENTS FOR MELON TRAITS LONJORÉ LEOCÁDIO DE LIMA 1 , GLAUBER HENRIQUE DE SOUSA NUNES1 , FANCISCO BEZERRA NETO1 , RUI SALES JÚNIOR1 , ELAÍNE WELK LOPES PEREIRA1 1 Escola Superior de Agricultura de Mossoró-ESAM, Departamento de Fitotecnia, C.P. 137, CEP 59625-900, Mossoró-RN. E-mail: [email protected] . A proposal for classifying the coefficients of variation of melon traits was established in data from 98 works of dissertations and monographs. The variation coefficients (CV) were classified according to Garcia (1989) proposal and sample quantiles. The classification obtained in both methods was very similar and adequate for melon traits. Index terms: Cucumis melo, experimental precision, analysis of variance. INTERVAL ESTIMATION FOR THE INTRACLASS CORRELATION COEFFICIENT, USING THE FIELLER’S THEOREM ,WITH BETA-BINOMIAL DATA LÚCIA APARECIDA MENDONÇA – UFLA; EDUARDO BEARZOTI – UFLA LUIZ HENRIQUE DE AQUINO – UFLA; DANIEL FURTADO FERREIRA - UFLA The aim of this work was a comparison of interval estimation based on point estimators of intraclass correlation coeficient (φ):unbiased moments, stabilized moments, and classic. The performance of the confidence intervals was evaluated by the coverage probabilities. The confidence intervals based on the stabilized moments estimator showed larger coverage probabilities. Key-words: Beta-binomial distribution, correlation intraclass coeficient, Fieller’s Theorem. INFLUENCE OF SAMPLING POSITION IN THE PENETRATION RESISTANCE OF SOIL LÚCIO BORGES DE ARAÚJO Faculdade de Matemática, Universidade Federal de Uberlândia, [email protected]; EDNALDO CARVALHO GUIMARÃES FAMAT/UFU, [email protected]; MARCELO TAVARES FAMAT/UFU [email protected]; ELIAS NASCENTES BORGES ICIAG/UFU The purpose of this work was to verify the influence of the sampling position on the penetration resistance of soil, in the coffee tillage. It was used 3 different sampling position in the field. The results showed differences among the sampling positions. As a conclusion, the sample position can modify the penetration resistance data. SELEÇÃO SIMULTÂNEA PARA VÁRIOS CARACTERES: UTILIZAÇÃO DO ÍNDICE DE MULAMBA E MOCK ASSOCIADO AO TESTE DE SCOTT-KNOTT Luís Antônio da SILVA, Eng. Agr., Mestrando em Genética e Melhoramento de Plantas, Dep. de Biologia, Universidade Federal de Lavras (UFLA), Caixa Postal 37, CEP 37.200-000, Lavras – MG, e-mail: [email protected]; César Augusto Brasil Pereira PINTO, Eng. Agr., Ph. D., Prof. Titular, Dep. de Biologia, UFLA, e-mail: [email protected]; Eduardo de Souza LAMBERT, Eng. Agr., M.Sc., Doutorando em Genética e Melhoramento de Plantas, Dep. de Biologia, UFLA, e-mail: [email protected] The selection process is one of the stages most difficult of plant breeding program, mainly when the selection is in several characters simultaneously. The objective of this research was to apply the index Mulamba and Mock associated to the test of Scott-Knott in the simultaneous selection for high yielding potato genotypes, with high percentage of large tubers and superior specific gravity. The application of the index Mulamba and Mock is a method very important in the simultaneous selection for these three characters NON-LINEAR AND NON-PARAMETRIC REGRESSION USING WAVELET TRANSFORMS TO MODEL REMOTELY SENSED TIME SERIES LUIS MARCELO TAVARES DE CARVALHO Departamento de Ciências Florestais, Universidade Federal de Lavras The robust smoother-cleaner wavelets were used to remove cloud contamination in a time series of Landsat data and the wavelet shrinkage to estimate new values. Various methods were compared. Wavelet regression was more accurate in clouded areas, whereas linear regression in shadowed areas. Wavelet regression holds promise for effective time series analysis and has the potential to produce cloud-free images at any point in the time series. KEY WORDS: Time series, wavelet transforms, outliers, remote sensing. STUDY OF THE MOMENTS AND THE MAXIMUM LIKELIHOOD METHODS IN THE SET OF THE GUMBEL DISTRIBUTION TO THE MAXIMUM RAINFALL IN LAVRAS, MINAS GERAIS STATE, BRAZIL LUIZ ALBERTO BEIJO, Departamento de Ciências Exatas da UFLA, Lavras , MG. [email protected]; JOEL AUGUSTO MUNIZ, Departamento de Ciências Exatas da UFLA, Lavras , MG. [email protected]; PEDRO CASTRO NETO, Departamento de Engenharia da UFLA, Lavras , MG. The Gumbel distribution were estimated by the moments method and maximum likelihood method with their confidence intervals respectives using the Jackknife method. The probable maximum rainfaul was calculated. It was ended that the maximum likelihood method provide estimates more precise. Key-words: Gumbel distribution, method Jackknife, maximum rainfaul. MEDIDAS REPETIDAS CON DATOS FALTANTES: ESTIMACIÓN DE PARÁMETROS VÍA ANÁLISIS DE COVARIANZA LUZ MERY GONZÁLEZ Y LUIS ALBERTO LÓPEZ, UNIVERSIDAD NACIONAL DE COLOMBIA In this work, we consider the case of the design of repeated measures with incomplete information. We used covariance analysis and we found the estimate of parameters when there is balanceamiento under the different evaluation conditions. USE OF BIPLOT-AMMI REPRESENTATION TO ALLOCATION LINES FROM BR106 MAIZE POPULATIONS TO HETEROTIC GROUPS. MANOEL VITOR DE SOUZA VELOSO1 ; HEYDER DINIZ SILVA1 ; ROGÉRIO DE MELO COSTA PINTO1* 1 Faculdade de Matemática, Universidade Federal de Uberlândia, Av. João Naves Ávila, 2.121 – B. Santa Mônica, CEP:38.400-902 - Uberlândia, MG.*Autor correspondente ([email protected]) The objective of this research was evaluating the genetic divergence of maize inbred lines from populations BR-106 from estimates of specific combining ability (SCA) using the biplot-ammi graphic representation. The results showed that biplot-ammi analyses were efficient for the trait GY in allocating maize lines to heterotic groups. Key words: diallel analysis, Zea mays, combining ability. BIOESTAT 3.0 AND THE MEDICINE BASED IN EVIDENCE MANUEL AYRES; MANUEL AYRES JR.; ALEX SANTOS, Universidade Federal do Pará (UFPa.) The BioEstat 3.0 software may be used in Medicine Based in Evidence through screening tests to evaluate the Sensitivity, Specificity, Predictive Values, Prevalence, Accuracy, as well as performing Likelihood Ratio tests and estimation of the ROC Curve. USE OF BIPLOT-AMMI REPRESENTATION TO ALLOCATION LINES FROM BR105 MAIZE POPULATIONS TO HETEROTIC GROUPS. MARCELINO ALVES ROSA DE PASCOA1 ; HEYDER DINIZ SILVA 1 ; ROGÉRIO DE MELO COSTA PINTO 1* 1 Faculdade de Matemática, Universidade Federal de Uberlândia, Av. João Naves Ávila, 2.121 – B. Santa Mônica, CEP:38.400-902 - Uberlândia, MG.*Autor correspondente ([email protected]) The objective of this research was evaluating the genetic divergence of maize inbred lines from populations BR-105 from estimates of specific combining ability (SCA) using the biplot-ammi graphic representation. The results showed that biplot-ammi analyses were efficient for the trait GY in allocating maize lines to heterotic groups. Key words: diallel analysis, Zea mays, combining ability. EXPANSION OF THE " Q-QPLOT " NORMALITY TEST FOR p-DIMENSIONS. MARCELO ANGELO CIRILLO Departamento de Ciências Exatas, Universidade Federal de Lavras, email:[email protected]; DANIEL FURTADO FERREIRA Departamento de Ciênicas Exatas, Universidade Federal de Lavras, email: [email protected], bolsista CNPq An alternative for normality identification is given by graphics (Q-Qplots). The objective of this work was to extend the test of the correlation coefficient ,r q , (Johnson & Wichern, 1988) to the p-dimensional case. A table for p=4, with the critical points for the several samples, was presented as illustration. Key words: Q-Qplots, normality, correlation coefficient, p-dimensional. METHODOLOGIES FOR DETERMINATE COEFFICIENTS OF VARIATION (CV) CLASSIFICATION BANDS IN ANIMAL EXPERIMENTATION. MARCELO GOMES JUDICE Departamento de Matemática, Universidade de Rio Verde (FESURV), [email protected]; JOEL AUGUSTO MUNIZ Departamento de Ciências Exatas, Universidade Federal de Lavras, [email protected]; LUIZ HENRIQUE DE AQUINO Departamento de Ciências Exatas, Universidade Federal de Lavras, [email protected] This study had as aim to compare two methods: sample quantile (Judice, 2000) and median and pseudo-sigma (Costa, Seraphin e Zimmermann, 2002) for determinate coefficients of variation (CV) classification bands envolving three variable: milk production (milk cattle) and final weight and weight gain (broiler chickens). Both methods presented similar results. EFFECT OF ACID CONDITIONING TUINE AND STORAGE IN DENTINE/RESIN USION MARCELO HIROSHI OGAVA, Departamento de Estatística, Universidade de São Paulo, [email protected]; ROSANA FRANCISCO ALVES, Departamento de Estatística, Universidade de São Paulo, [email protected]; DENISE APARECIDA BOTTER, Departamento de Estatística, Universidade de São Paulo; MÔNICA CARNEIRO SANDOVAL, Departamento de Estatística, Universidade de São Paulo; MARCELA ROCHA DE OLIVEIRA CARRILHO, Departamento de Odontologia, Universidade de São Paulo The investigation purpose was to verify if the kind of the adhesive, the time of acid conditioning and the storge time affect the resistence of the composed union dentine/resin.For that, it was done a variance analysis with repeated measures, followed by multiple comparisons, considering the interections. INDICATOR OF THE ECONOMIC MOVEMENT FOR THE DISTRICTS OF ILHEUS AND ITABUNA - BA MARCELO INÁCIO FERREIRA FERRAZ Departamento de Ciências Exatas, Universidade Federal de Lavras, [email protected]; JAENES MIRANDA ALVES Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, [email protected] ; JOÃO PAULO TOURINHO BRAGA Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, [email protected] This work informs the results of a research in the construction of an indicator of the economic movement for the districts Ilhéus and Itabuna. Models of principal components and analysis of time series (X-11) were used. THE STATISTICS IN THE GEOGRAFIC EPIDEMIOLOGIC: AREA PATTERN ANALYSIS MARCELO RICARDO DOS SANTOS*, VILMA MAYUMI TACHIBANA**, Departament of Mathematics – FCT – UNESP – Presidente Prudente. Supported by FAPESP – Fundação de Amparo à Pesquisa do Estado de São Paulo.*[email protected] **[email protected] Introduction to Spatial Statistics through the general basic concepts, kind of problems and their applicability, focused into epidemiological problems. The study has been directed to the area pattern analysis, whose techniques have been applied to a real set of data, mainly those related to incidence/mortality by cancer in the São Paulo state. DETERMINATING THE NUMBER OF PROGENIES IN THE EVALUATION OF HALF SIBBS OF CARROT FROM CONFIDENCE INTERVALS MARCELO TAVARES Faculdade Matemática - Universidade Federal de Uberlândia [email protected]; EDNALDO CARVALHO GUIMARÃES Faculdade Matemática Universidade Federal de Uberlândia - [email protected]; DENISE GARCIA SANTANA Instituto de Ciências Agrárias - UFU - [email protected]; SAMIR PRADO DAUD Acadêmico do curso de Engenharia Elétrica – UFU The aim this work was to verify the behavior of the confidence interval for the variance of the error in different sizes for the evaluation of progenies. It was verified that happened a stabilization of the confidence intervals from 60 progenies, being the similar behavior everything characteristics. GENETIC DIVERGENCE AMONG ACCESSES OF Capsicum baccatum L. MARCUS VINÍCIUS AMARAL Acadêmico do 6o período do curso de Engenharia Elétrica UFU; MARCELO TAVARES Faculdade Matemática - Universidade Federal de Uberlândia [email protected]; EDNALDO CARVALHO GUIMARÃES Faculdade Matemática Universidade Federal de Uberlândia - [email protected]; ROGÉRIO DE MELO COSTA PINTO Prof. Faculdade Matemática - UFU - Uberlândia MG- [email protected]; ARLETE MARCHI TAVARES DE MELO IAC - Centro de Pesquisa e Análise Tecnológica do Agronegócio da Horticultura; FRANCISCO ANTONIO PASSOS IAC - Centro de Pesquisa e Análise Tecnológica do Agronegócio da Horticultura The aim work was evaluation agronomic characterization of 15 C. baccatum accesses. Between the genotype evaluation, the accesses A722 and A795 to be shown higher performance. The A786 access was the more divergence. Earliness and fruit length were the characters that more contributed to divergence among accesses. USE OF THE SUPREMUM OF TWO STATISTICS IN SURVIVAL ANALYSIS MARIA APARECIDA DE PAIVA FRANCO*; ESTELA MARIS PEREIRA BERETA*; CAROLINA DO AMARAL BARBOZA; FÁBIO AUGUSTO ANTUNES MARQUES; LEANDRO LOPES SANCHEZ; LUCIANA CASTELLO; OLYMPIO TEIXEIRA NETO; SAMANTHA BACHEGO MORENO. Departamento de Estatística - UFSCar Interim analyses are utilized in many clinical trials that take a long time to be completed. Appropriate bounds for univariate tests to be done in each one of those interim analysis in order to achieve a desired global size and power have been established by many authors for asymptotically joint normal distributed statistics. The objective of the present paper is to study the relative performance of tests defined by non parametric statistics log-rank, weighted Kaplan Meier and the supremum of those statistics considered by several authors, chiefly in regard to the power of detecting early differences in survival. Bootstrap based tests will be analyzed through simulation of its results in a large number of simulated clical trials. Key-words: Bootstrap. Repeated significance tests. Corresponding author: [email protected] (*) docentes DES- UFSCar. AREA OF PLANE FIGURES: DO THE STUDENTS KNOW HOW TO APPLY THESE CONCEPTS TO SOLVE PROBLEMS? Maria Célia de Oliveira PAPA, Juan Adolfo Castillo DEL CANTO Filho, Glória Soares ROSADA, Antônio Lopes da CUNHA Filho, Elias Prezoto FRANCO, Norma CAMPION, Alunos do Curso de Licenciatura em Matemática, Universidade Metodista de Piraciaba, SP, email: [email protected] Tel. 0 XX (19) . 3455-4510. José Eduardo CORRENTE, Prof. Associado do Depto. de Ciências Exatas, ESALQ – USP, Caixa Postal 11, Piracicaba, SP, CEP. 13418-900, e-mail: [email protected]. Tel. (0xx19) 3429-4127, ext. 220. The aim of this work was to evaluate if students from fundamental school know how to solve problems involving geometry. A test was applied in three cities consdiering two schools and the data was analyzed according a multilevel model in thee levels. The peripheral schools presented best results. Key words: solving problems, area of plane figures, multilevel models. TWO STOCKING DENSITIES AND TWO LITTER TYPES ON BROILER PERFORMANCE Maria Cristina de OLIVEIRA, Prof a Depto.de Zootecnia, Rio Verde/GOFESURV, e-mail [email protected]; Fernando I. CARVALHO, Aluno do curso de Zootecnia Rio Verde/GO FESURV; Nagib Yassin, Prof.Depto. de Matemática, Rio Verde/GO FESURV, e-mail [email protected] This experiment was carried out to evaluate the effect of two stocking densities and two litter types on the broiler performance. Four hundred and fifty birds were used in an entirely randomized design and factorial arrangement 2 x 2 (two stocking densities – 10 and 14 birds/m2 and two litter types – wood shavings and sawdust) with five replications. Birds and rations were weighed in order to obtain the body weight, daily weight gain, daily ration consumption, feed: gain ratio and total meat production. There was effect (P<0.01) only of the stocking density on the daily ration consumption and on the total meat production. There was a 33.28% incresead in the total meat production in the higher stocking density. It wasconcluded that the higher stocking density was the most economic and that there was not influence due the litter type on the studied variables. Key words: performance, management, total meat production EFFECT OF THE TOTAL PARTIAL SUBSTITUTION OF THE CORN IN THE RABBITS RATION IN GROWTH ON The PERFORMANCE OF THE ANIMALS Maria Cristina de OLIVEIRA, Prof a Depto. de Zootecnia Rio Verde/GO FESURV, e-mail, [email protected]; Nagib YASSIN, Prof. Depto. de Matemática Rio Verde/GO FESURV, EMail [email protected]; Clayton Vieira ALMEIDA, Aluno de Graduação do curso de Zootecnia Rio Verde/GO FESURV Sorgo is a more resistant culture to the drought than the corn and it is a food that owns similar nutritious characteristics to the corn and could be used as energy source replacing the corn since corn is the energetic food used most in the animals rations. The goal of this work was to evaluate the effect of the partial and total substitution of the corn in the rabbits ration in growth on the performance of the animals. 160 rabbits of New Zealand race were used in a blocks delineation at random with five treatments (0, 25, 50, 75 and 100% of substitution of the corn of the ration by sorgo), four repetitions and eight animals in each cage. The rations were isoproteanous and isonergetics. The experimental rations were supplied at ease and, together with the animals were weighed for determination of the final weight, of the gain of diary weigh, of the ration consumption and of the conversion feed. There was not statistical difference (P > 0.05) for none of the evaluated parameters, showing that, sorgo can replace the corn totally in rations for rabbits since the protein and energy levels be corrected. ESTIMATION METHODS OF PARAMETER OF EXPONENTIAL CAVARIANCE STRUCTURE ON SPATIAL DEPENDENCE OF SOIL CALCIUM CONTENT Maria Cristina Neves de OLIVEIRA, Embrapa Soja caixa postal 231, CEP 86001-970, Londrina - PR, Décio BARBIN, Professor Titular Departamento de Ciências Exatas – ESALQUSP, caixa postal 9, Piracicaba – SP, Enio Fraga da SILVA, José Ronaldo de MACEDO, Cláudio Lucas CAPECHE, Helga Restum HISSA, Pesquisadores Embrapa Solos, Rua Jardim Botânico, 1024, Rio de Janeiro – RJ The purpose of this paper was to evaluate the spatial dependence of the calcium content using the exponential covariance function. The parameter estimates were obtained by maximum likelihood (ML) and restricted maximum likelihood (REML). KEYWORDS: Geostatistics; spatial continuity; variogram; maximum likelihood; restricted maximum likelihood; chemical analysis of soil STATISTIC CHARACTERIZATION OF SOIL PHYSICAL VARIABLES Maria da Glória Bastos de Freitas MESQUITA, Profª. Depto de Ciência do Solo, UFLA, C.P. 37, Lavras/MG, CEP 37200-000, e-mail: [email protected],Tel 0xx (35) 3829-1632. Sérgio Oliveira MORAES, Prof. Depto de Ciências Exatas, ESALQ, C. P. 9, Piracicaba/SP, CEP 13418-900, e-mail: [email protected], Tel 0xx (19) 3429-4283. José Eduardo CORRENTE, Prof. Depto de Ciências Exatas, ESALQ, C. P. 9, Piracicaba/SP, CEP 13418-900, e-mail: [email protected] , Tel 0xx (19) 3429-4283. The objective was to characterize statistically the properties density of soil, density of particles, porosity, microporosity, macroporosity and saturated hydraulic conductivity. Concluded that outliers were not detected and that the variables can be represented by the normal probability distribution, except for the saturated hydraulic conductivity, therefore to consider this normally distributed can take to erroneous conclusions. Index terms: soil physics, variability, probability distribution, number of samples MONTHLY RAINFALL ANALYSIS, WITH TIME SERIES MODELS, IN UBERLÂNDIA CITY - STATE OF MINAS GERAIS - BRAZIL. MARIA IMACULADA DE SOUSA SILVA FAMAT/UFU; EDNALDO CARVALHO GUIMARÃES FAMAT/UFU, e-mail: [email protected]; MARCELO TAVARES FAMAT/UFU, email: [email protected] The aim of this work was to use the times series tools in the analysis of the monthly rainfall series of Uberlândia city, in Minas Gerais State. The conclusion were: the series does not present trend but there is a periodicity. EVALUATION OF THE CONSISTENCE INDICATIVE DOS OF QUALITY OF LIFE OF SF-36 FOR INSTITUTIONALIZED SENIORS M.I.F. ALVES, A. COLDEBELLA, J.A. MENDONÇA Objecting to study life quality of 60 institucionalized seniors, SF-36 (36-Item ShortForm Health Survey) indicators were utilized: General Health Situation, Functional Capacity, Physical Aspects, Emotional Aspects, Social Aspects, Pain, Vitality and Mental Health, analyzed through Exploratory Data Analysis, Spearman Correlation, Alpha of Crombach techniques, and ilustrated through Chernoff faces. EVALUATION OF METHODS FOR CONSTRUCTION OF CONFIDENCE INTERVAL FOR DIFFERENCE AMONG TWO BINOMIAL PROPORTIONS MARIA LAUCINÉIA CARARI Depto. de Ciências Exatas, Universidade Federal de Lavras, bolsista CAPES, e-mail: [email protected]; PAULO CÉSAR LIMA Depto. de Ciências Exatas, Universidade Federal de Lavras, e-mail: [email protected]; DANIEL FURTADO FERREIRA Depto. de Ciências Exatas, Universidade Federal de Lavras, bolsista CNPq, e-mail: [email protected]; MARCELO ANGELO CIRILLO Depto. de Ciências Exatas, Universidade Federal de Lavras e-mail: [email protected] This work was aimed to evaluate several methods for estimating differences among two binomial proportions based on Monte Carlo simulation. It was concluded that T2 method presented better coverage probability for samples of the same sizes and for several values of p1 e p2 . KEY WORDS: Binomial, Bootstrap, Monte Carlo, Coverage probability, t-student. A PRODUCTION AND GROWTH MODEL FOR NATIVE FORESTS MARIA ZÉLIA FERREIRA Mestranda em Engenharia Florestal – Florestas de Produção, Universidade Federal de Lavras, e-mail [email protected] ; MARCELA CRISTINA DE OLIVEIRA Mestranda em Engenharia Florestal – Florestas de Produção, Universidade Federal de Lavras, e-mail [email protected] ; PROF. JOSÉ ROBERTO SOARES SCOLFORO Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail [email protected] ; PROF. ANTÔNIO DONIZETTE DE OLIVEIRA Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail [email protected] The objectives of this work were apply a new methodology, not usual in Brazil, proposed by Richard Condit, Stephen Hubbel and Robin Foster for the analysis of tree growth patterns in native forests and to extend the method to be uses for production prognosis in terms of wood volume, through simulation of cut and harvest. Key words: native forest, prognosis BAYESIAN ANALYSIS OF GROWTH CURVE OF SANTA INES LAMBS GUEDES, M.H.P; MUNIZ, J.A ;AQUINO, L.H.; PERES, J.O.R.;SILVA, F.F.; UNIVERSIDAD FEDERAL DE LAVRAS, LAVRAS, MG,BRAZIL CEP: 37200-000 The Bayesian Methodology was used for fitted the Logistic growth model to weight-age of Santa Inês lambs. The marginal distributions for C parameter, σ 2 and σ 2 variances were δ e obtained by Gibbs Sampler algorithms and for β1 and β2 parameters by Metropolis-Hasting algorithms. The Bayesian Methodology showed efficient for this kind of study. KEYS WORD: Bayesian analysis, growth curve, Santa Inês lamb LOGISTIC REGRESSION APPLIED TO COGNITIVE DISFUNCTION IN CHILDREN WHO HAVE BREATHING SLEEP DISTURB MAYRA IVANOFF LORA Depto. de Medicina Preventiva, UNIFESP; CLOVIS DE ARAUJO PERES Depto. de Medicina Preventiva, UNIFESP; LUCIANE BIZARI COIN DE CARVALHO Depto. de Medicina, UNIFESP; GILMAR FERNANDES DO PRADO Depto. de Medicina, UNIFESP The goal of this work is to analyse the association between breathing sleep disturb and cognitive disfunction in children who study in public schools in São Paulo. A Logistic Regression Analyse is used to reach the goal, considering also another possible associate variables and the interactions between two independent variables. BAYESIAN ESTIMATION OF THE WEIBULL SCALE PARAMETER VIA THE WEIGHTED BALANCED LOSS FUNCTION MIRIAM HARUMI TSUNEMI Departamento de Estatística, Ufscar, [email protected] JOSEMAR RODRIGUES Departamento de Estatística, Ufscar, vjosemar@power,ufscar.br The propose of this work is to formulate a Bayesian inference on Weibull distribution, with the purpose to estimate the scale parameter, via the weighted balanced loss function. The inference consists in assuming a continuous distribution for the scale parameter and a discrete distribution for the shape parameter. ESTRATIFICATION OF ENVIRONENTS TO THE EVALUATION OF MAIZE HYBRIDS NÁDIA GIARETTA BIASE Acadêmica do curso de Matemática – UFU; HEYDER DINIZ SILVA FAMAT-UFU; ROGÉRIO DE MELO COSTA PINTO FAMAT-UFU Key-words: genotype x enviroment interaction, cluster analisys In these work, a methodology for enviroment estratificatication with no genotype by enviroment interaction was presented. These metodology was based in the cluster analysis, having as dissimilarity mensure the inverese of the p-value for the test of no genotype by enviromente effects. VARIANCE ANALYSIS FOR FACTORIAL EXPERIMENT OF TWO FACTORS WITH ADDITIONAL TREATMENT. Nagib YASSIN, Prof. Depto. Matemática, FESURV, Rio Verde/GO e-mail [email protected] Augusto Ramalho de MORAIS, Prof. Depto. De Ciências Exatas, UFLA, Lavras/MG e-mail: [email protected]; Joel Augusto MUNIZ, Prof. Depto. De Ciências Exatas, UFLA, Lavras/MG e-mail: [email protected] The objective of this study was to develop and justification one analysis suitable for data of factorial experiment of the two factors involving additional treatment. Using the least square procedure was determine the sums of squares of the variance analysis, justification of the F tests and variance of contrasts among means of two treatments. Index terms: experimental design, variance analysis, additional treatment. BAYESIAN ANALYSIS OF LINEAR GROWTH MODEL IN FEMALE HOLSTEIN HEIFERS NATASCHA ALMEIDA MARQUES DA SILVA Departamento de Ciências Exatas, UFLA, [email protected]; LUIZ HENRIQUE DE AQUINO Departamento de Ciências Exatas, UFLA, [email protected]; FABYANO FONSECA E SILVA Departamento de Ciências Exatas, UFLA, fabyanobr@yahoo,com,br,;JOEL AUGUSTO MUNIZ Departamento de Ciências Exatas, UFLA, [email protected],;THELMA SÁFADI Departamento de Ciências Exatas, UFLA, [email protected], The Bayesian methodology was used to fitted the linear regression model to weight-age data of female Holstein heifers. The marginal distribution of the α and β parameters and the error variance (σ2 ) was obtained by Gibbs sampler algorithm. The results showed the efficiency of the Bayesian methodology. Key words: Bayesian analysis, Linear growth model, female Holstein heifers. EXTENDED COX MODEL TO MULTIVARIATE FAILURE TIME DATA: AN APPLICATION TO THE PERCEPTION OF CHILDHOOD ILLNESS NIVEA DA SILVA MATUDA, DEPTO. DE ESTATÍSTICA, UFPR; JOSÉ MARIA PACHECO DE SOUZA, DEPTO. DE EPIDEMIOLOGIA, FSP-USP Using Stata, SAS and S-Plus computer programs, robust variance model and frailty model were compared for analyzing breast-feeding effect on childhood illness perceptions. Preliminary results show different conclusions between the models with and without stratification by failure order. Comparing same models in the different programs, the estimates are similar. PHENOTIPIC STABILITY VIA AMMI BOOTSTRAP MODEL Osmir José LAVORANTI, Estatístico, Embrapa Florestas, Caixa Postal: 319, Colombo/PR, CEP. 83411-970, e-mail: [email protected].; Carlos Tadeu dos Santos DIAS, Prof. Dr. Depto de Ciˆencias Exatas, USP/ESALQ Caixa Postal: 09, Piracicaba/SP, CEP. 13418-900.; Wojtek J. KRZANOWSKI, School of Mathematical Sciences, Laver Building, North Park Road, EXETER, EX4 4QE, UK. Recent advances in statistical methodology allow the development of sophisticated systems of processing of data. This article surveys bootstrap methods for analysis of genotypebyenvironment interaction using the AMMI model and stability estimates. Our findings suggest that the bootstrap technique may be used to provide statements about the stability via AMMI. KEY-WORDS: stability, bootstrap, AMMI. COMPARING OF KAPLAN-MEIER AND NELSON-AALEN ESTIMATORS, IN THE STUDY ENTOMOLOGICAL, INTRODUCING TYPE I CENSORING PAULO JOSÉ PEREIRA Professor Universitário – Universidade Tiradentes – [email protected]; MONICA APARECIDA TOMÉ PEREIRA Professora Universitária – Universidade Tiradentes – [email protected] In survival analysis as nonparametric estimator few utilized is the Nelson-Aalen. The objective this work is comparing estimates Kaplan-Meier and Nelson-Aalen to study entomological on type I censoring was introduced. With results encountered was possible to determine that Kaplan-Meier estimates is more accuracy in relation the Nelson-Aalen. Index terms: Survival analysis, type I censoring, nonparametric estimates. MODELLING THE SPATIAL PATTERN OF THE CITRUS BLACK SPOTS DISEASE PAULO JUSTINIANO RIBEIRO Jr., Depto de Estatística, Universidade Federal do Paraná, email: [email protected]; GLAUCY DA CONCEIÇÃO ORTIZ, Depto de Estatística, Universidade Federal do Paraná, e-mail: [email protected] Generalised linear mixed models with Markov random fields priors are used to detect and model spatial structure of the citrus black spots disease using data from a production area collected for three consecutive years. Comparisons between spatially structured and unstructured errors terms allows testing hypothesis about dominant reproductive mechanisms. THE EFFECT OF DATA TRANSFORMATIONS ON THE SIGNIFICANCE OF GENETIC PARAMETERS BY MATHER & JINKS ESTIMATION METHOD PAULO ROBERTO CECON *1 ; GERALDO DE AMARAL GRAVINA 2 ; SEBASTIÃO MARTINS FILHO3 & CARLOS SIGUEYUKI SEDIYAMA 2. 1Departamento de Informática, Universidade Federal de Viçosa (UFV), CEP 36571-000, Minas Gerais, Brasil; 2 Departamento de Fitotecnia, UFV. 3Departamento de Engenharia Rural, CAUFES, Universidade Federal do Espírito Santo (UFES), CEP 29500-000, Alegre, Espírito Santo, Brasil. (*Autor correspondente. E-mail: [email protected]) The effect of square root and logarithm transformations on the significance of genetic parameters of soybean resistance to Cercospora sojina was studied. The transformations did not alter the significance of the estimates. The additive-dominant-epistatic genetic model was more appropriate to estimate the genetic parameters for all characters, for both transformed and non-transformed data. Index terms: Glycine max, scale change, generation analysis, frogeye leaf spot. INFLUENCE OF THE CRITICAL VALUE FOR DETECTING OUTLIERS IN ARCHAEOMETRY PAULO TADEU MEIRA E SILVA DE OLIVEIRA Depto de Estatística, Universidade de São Paulo, e-mail: [email protected]; CASIMIRO SEPÚLVEDA MUNITA Supervisão de Radioquímica, IPEN – CNEN /SP [email protected] The aim of this work was to detect outliers in 13 variables from 41 ceramic fragments using Mahalanobis distance. The Mahalanobis distance calculated for each sample was compared with critical values obtained by three criteria: F test, chi-squared and lambda Wilks to test which criterion was more suitable. Corresponding author: Paulo Tadeu Meira e Silva de Oliveira. Departamento de Estatística – IME, Universidade de São Paulo, Caixa Postal 66.281, CEP 05315-970, email: [email protected] ADJUSTMENT AND IDENTITY TEST OF BISEGMENTED LINAR MODELS USING THE R PACKAGE RAQUEL ROMES LINHARES Acadêmica do curso de Matemática Universidade Federal de Uberlândia; HEYDER DINIZ SILVA FAMAT-UFU; ROGÉRIO DE MELO COSTA PINTO FAMAT-UFU Index terms: identity of models, least square, applied statistics. It is considered in this paper the use of the R package to adjustment and identity test of H bisegmented regression equations, acording to Regazzi, 1996. The hypothesis in consideration is (H models are identical) vs. Ha: the H models are not all identical). EVALUATION OF THE OF THE LIKELIHOOD RATIO TEST IN TESTS OF HYPOTHESES ON THE GENETIC CONTROL OF CONTINUOUS CHARACTERISTICS Renata Pires GONÇALVES, Depto de Ciências Exatas, UFLA, e-mail: [email protected], Tel. 0 XX (31) 8825.2802.; Eduardo BEARZOTI, Prof. Dr. Depto de Ciências Exatas, UFLA, e-mail : [email protected] Tel. 0xx(35) 3829.1643.; Daniel Furtado FERREIRA, Prof. Dr. Depto de Ciências Exatas, UFLA, e-mail: [email protected] Tel. 0XX(35) 3829-1369 The objectives of this research were: to evaluate the quality of the likelihood ratio test in terms of the type I error control, to evaluate the minnimum sample size for appropriate aproximation, and to determine its quality in terms of the MAGNITUDE genetic parameters in different conditions. STUDY OF VIBRATIONS EFECTS ON THE MODULUS OF ELASTICITY OF THE POTATO ENGLISH (solanum tuberosum L.) BY RESPONSE SURFACE. RENATO LAURENTI Feagri- Universidade Estadual de Campinas, email: [email protected], bolsista FAPESP; INÁCIO M. DAL FABBRO Feagri- Universidade Estadual de Campinas, email:[email protected]; MARCELO ANGELO CIRILLO DexUniversidade Federal de Lavras, email:[email protected], bolsita CNPq; DANIEL FURTADO FERREIRA Dex – Universidade Federal de Lavras, email:[email protected], bolsista CNPq Experiments on specimens of biological material by submitting them to controlled vibrations as well as to previous and after tests determination of modulus of elasticity. A comparison by response surface of resulting effects on modulus of elasticity have been made. We conclude that it does exist a major effect frequency. Index terms: bruising, modulus of elasticity, vibrations, response surfa DESCRIPTION OF SALES OF AGRICULTURAL MACHINES IN THE MUNICIPAL DISTRICT OF OLIVEIRA – MG BY TEMPORARY SERIES, 2002 SANTOS, R.V. R. Unilavras - Center Academical of Lavras The present work had for objective to describe the behavior of the sales of agricultural tractors through the graphic analysis of a temporary series and in adjusting a mathematical model that makes possible to accomplish forecasts and still to offer the resale an administration systemic and optimized of the sales by the domain of the information. USE OF SUPPLEMENTARY TREATMENTS IN THE AMMI PROCEDURE APPLIED TO PHENOTYPIC STABILITY ANALYSIS OF GENOTYPES Roberto Miranda PACHECO. Escola de Agronomia e Engª de Alimentos – UFG. [email protected]; João Batista DUARTE. Setor de Melhoramento Genético Escola de Agronomia e Engª de Alimentos – UFG. [email protected]; Roland VENCOVSKY. Instituto de Genética. ESALQ – USP.; José Pinheiro BALDIN. Setor de Melhoramento Genético Escola de Agronomia e Engª de Alimentos – UFG.; Adriano Borges de OLIVEIRA. Agência Rural do Estado de Goiás This paper explores the equivalence between singular value decomposition used in AMMI analysis and the spectral decomposition used in principal component analysis. This allows obtaining scores of a supplementary genotype made up with the highest yield of each environment, which may serve as ideal check or reference for selection purposes. Key-words: Supplementary elements, principal components, SVD, biplot, GE interaction. AN EXAMPLE OF MODEL UNCERTAINTY IN LOGISTIC REGRESSION ROBERTO MOSIMANN SILVEIRA, DEs-UFSCar [email protected] CECILIA CANDOLO, DEs-UFSCar [email protected] In statistical data analysis the inference is carried on without any account to model uncertainty. This work consider the approach of Candolo (2001) who explored the weighted estimator proposed by Buckland et al. (1997) with application to linear regression. Here, we use two examples and a small simulation to study the behaviour of this estimator for logistic regression with one and two covariates. We get similar results for the approachs of Buckland et al. (1997) and Candolo (2001). COMPARISON OF METHODOLOGIES TO ALLOCATE LINES OF TROPICAL CORN IN HETEROTIC GROUPS ROGÉRIO DE MELO COSTA PINTO 1 ; HEYDER DINIZ SILVA1 ; MARCELO TAVARES1 . 1 Faculdade de Matemática, Universidade Federal de Uberlândia, Av. João Naves Ávila, 2.121 – B. Santa Mônica, CEP:38.400-902 - Uberlândia, MG. The objective of this research was evaluating the genetic divergence of maize inbred lines from estimates of specific combining ability (SCA) using RFLP molecular markers and the biplot-ammi graphic representation. The results showed that biplot-ammi analyses and RFLP molecular markers were efficient for the trait GY in allocating maize lines to heterotic groups. Key words: diallel analysis, Zea mays, combining ability, RFLP. RELATIONSHIP AMONG THE NUMBER OF REPETITIONS, SAMPLES AND SUBSAMPLES AN THE ESTIMATES OF CHARACTERS OF CORN Sandra FEIJÓ - Engº Agrônomo, Doutoranda Agronomia – UFSM; Thomas N. MARTIN – Engº Agrônomo, Mestrando – UFSM; Lindolfo STORCK – Prof. Tit. Dr. – Dep. Fitotecnia/CCR/UFSM – [email protected]; Sérgio J. R. de OLIVEIRA - Prof. Assist. DCET/UESC – Doutorando Agronomia/UFSM; Alessandro Dal Col LUCIO – Prof. Adj. Dr. – Dep. Fitotecnia/CCR/UFSM; Sidinei José LOPES – Prof. Adj. Dr. – Dep. Fitotecnia/CCR/UFSM Being aimed at to evaluate the relationship among the variation of the number of repetitions, samples and subsamples in the estimates of characters in corn. It was simulated different number of repetitions, sample sizes and subsamples. For all the characteristics a larger contribution of the variance of the subsamples was observed. EXACTNESS OF SEGMENTED AND NOT SEGMENTED TAPER MODELS AND REASONS BETWEEN VOLUMES TO DESCRIBE THE SHAFT PROFILE IN Eucalyptus cloeziana . Sebastião Oswaldo FERREIRA, Engenheiro Flor. Msc., Lavras/MG, CEP. 37200-000, e-mail: [email protected], Tel. 0 XX (35) 3829.1700.; José Roberto Soares SCOLFORO, Eng. Flor. Dr., Departamento de Ciências Florestais, UFLA, e-mail: [email protected], Tel. 0 XX (35) 3829.1421.; Sebastião do Amaral MACHADO, Eng. Flor. PhD., Departamento de Ciências Florestais, UFPR.; Antônio Donizette de OLIVEIRA, Eng. Flor. Dr., Departamento de Ciências Florestais, UFLA, e-mail: [email protected], Tel. 0 XX (35) 3829.1425. This study had the objective to evaluate the estimation exactness of diameter along the shaft in Eucalyptus cloeziana trees, using models based on reasons between volume, polynomial models not segmented and segmented models. The following statisticians were used to evaluate the exactness: diameter deviation in each i-esima position in the shaft; standard deviation of diameter differences; quadratic sum of relative residue; percentage of diameter residues. Thus, it can be concluded that the segmented models of Clark, Souter and Schlaegal were more accurate amongst the models studied. Key word: Taper models, Eucalyptus cloeziana,exactness EVALUATION OF THE QUESTIONNAIRE TO BE USED IN THE SURVEY ABOUT THE PROFILE OF THE BRAZILIAN FEDERAL COLLEGES STUDENTS. Sérgio Luís MENDES, UFU’s Math student, e-mail: [email protected], Heyder Diniz SILVA, FAMAT-UFU, e-mail: [email protected] The main objective of these work was to evaluate the efficacy of the proposed questionnaire, for the second economic profile survey of the brasilian federal college students. The average time, demanded by students to answer the questionnaire was 27.22 min (2.64 SD), and 10.00 min (2.23 SD) for the data tabulation. Key-words: student aid, sample design. LIMIT BETWEEN PHASES I AND II IN SEEDS IMBIBITION CURVE SHEILA ZAMBELLO DE PINHO (1), LÍDIA RAQUEL DE CARVALHO (1) e MARIA ELENA APARECIDA DELACHIAVE(2) (1) Departamento de Bioestatística, Fax: (014) 6821-3744, Telefone: (014) 6802-6272, e-mail: [email protected] (2) Departamento de Botânica, UNESP – IBB, Caixa Postal 510, 18618-000 Botucatu, SP - Brasil. To improve seeds quality using treatments as osmotic conditioning is important the knowledge of imbibition phases in different species. The objective of this study was to establish a methodology to determine the limit between the first and second phase of the process, considering the model W = f(t) – (a – w 0 )exp(-kt). MODEL OF COSIN TO ESTIMATE DRY MATTER ACCUMULATION ON HYDROPONIC LETTUCE 1,3 SIDINEI JOSÉ LOPES ; DURVAL DOURADO NETO2 ; LINDOLFO STORCK1 ; JONES SIMON4 1 Depto de Fitotecnia, Universidade Federal de Santa Maria, CEP 97105 900-Santa Maria, RS. 2 Depto de Produção Vegetal, USP/ESALQ, C.P.9 - CEP: 13418-900 - Piracicaba, SP. 3 Bolsista PICDT/CAPES 4 Aluno do Curso de Agronomia, Universidade Federal de Santa Maria. With the purpose of proposing models to characterize the temporal variation of dry mass of hydroponic lettuce and to determinate the flowering period and the maximum dry mass accumulation rate as function of crop relative development (degree-days), solar radiation and effective thermic index, experiments were carried out in the greenhouse. MODELLING LONGITUDINAL PROPORTION OF SUCCESSFUL GRAFTING OF CAMU-CAMU COSTA, S. C.; DEMÉTRIO, C. G. B. Here we study four models for the analysis of proportions of successful grafting of camu-camu for different methods of grafting and types of understock, observed during 8 months. It is assumed the binomial distribution with logistic link and the model that ts better to the data incorporates the overdispersion and a random effect in the linear predictor. Keywords: Generalized linear models, Generalized estimating equations; Longitudinal analysis; Random effects; Generalized linear mixed models. OVERDISPERSION MODELS FOR CLUSTERED TOXICOLOGICAL DATA IN A BIOASSAY WITH TWO-SPOTTED SPIDER MITE SILVIA M. DE FREITAS, Depto. de Estatística e Matemática Aplicada - UFC, Campus do Pici, Bloco 910, Fortaleza, CE, 60455-760, Brasil - email: [email protected]; CLARICE G. B. DEMÉTRIO, Departamento de Ciências Exatas - ESALQ/USP, Caixa Postal 9, Piracicaba, SP, 13418-900, Brazil - email: [email protected]; JOHN P. HINDE, Department of Mathematics, National University of Ireland, Galway, Ireland - email: [email protected] Here we present models suitable for analysing cumulative mortality as a function of time. An additional aspect is the possibility of extra-multinomial variation arising from the use of groups as the experimental units. They are applied to a dataset obtained from an entomopathogenic fungus bioassay. Key-words: Clustered data; GLM; Overdispersion; GEE; Random effects models. BUILDING CONFIDENCE REGIONS FOR STATIONARY POINTS OF RESPONSE SURFACE MODELS USING BOOTSTRAP Silvio Sandoval ZOCCHI, Professor do departamento de Ciências Exatas da ESALQ/USP, Caixa Postal: 9, Piracicaba/SP, CEP. 13418-900, e-mail: [email protected], Tel. 0××1934294127.; Renato Rodrigues SILVA, Graduando do curso de Engenharia Agronômica da ESALQ/USP, e-mail: [email protected]. We describe a method of constructing confidence regions for a the stationary point of second order response surface models, using the bootstrap and non-parametric density estimation. The technique is illustrated by application to a peanuts data set. KEY-WORDS: bootstrap, response surface models, density functions. LIFE QUALITY OF THE SITTING IN AGROVILA RIO VERDINHO IN GOIAS – APLICATION STATISTICS ECONOMIC SIMONE PEREIRA SILVA BASTOS Ms. em Economia Rural, Professora Adjunto II- Departamento de Economia da Fundação do Ensino Superior de Rio Verde – GO, e-mail: [email protected]; MONICA APARECIDA TOMÉ Ms. em Estatística e Experimentação Agropecuária, Professora Universitária –Universidade Tiradentes – SE, e-mail: [email protected] ; JOÃO RICARDO FREITAS BASTOS Mestrando. em Engenharia Elétrica pela Universidade Federal de Uberlândia – MG This work evaluated the life quality of the seated in Agro Vila Rio Verdinho in Goiás comparing with the previously place busy, it is ended that the life quality improved in all the appraised points: economic aspects, dwelling, consumption, health, education and information. Index terms: life quality, sitting, Agro Vila, Goiás, Statistics Economic. THE INFANTILE DEATH RATE IN MANAUS FREE ZONE, A MULTIVARIATE STATISTICS APPROACH, FROM 1979 TO 1995 Sonia Araújo NASCIMENTO, Universidade Federal do Amazonas - UFAM e Prof. da Faculdade de Enfermagem, Materday, [email protected]; Suely de Souza COSTA, Prof da Escola Superior de Ciências Sociais, Universidade Estadual do Amazonas – UEA e Pesquisadora do Instituto Nacional de Pesquisas da Amazônia – INPA. [email protected]; Tel 0xx(92)236-1700; José CARDOSO Neto, Prof. do Departamento de Estatística, da Universidade Federal do Amazonas – UFAM [email protected] The study was carried out with children (<1; 1-4) years in the period (1979/95). Each age was statistics analyzed (descriptive and multivariate). The children were evaluated in the present situation, considering the past registers estimate future scenery. It study will advise to sensitize public policy. KEY WORDS: death rate; statistical analysis; multivariate statistics. USING GAMMA-WEIBULL FRAILTY INTERVAL CENSORED MODEL IN GENETIC ANIMAL BREEDING Giolo, S. R.; Henderson, R.; Demétrio, C. G. B. The gamma-Weibull frailty interval censored model is proposed to evaluate and identify Nelore sires genetically superior based on their progeny’s records. Time to gain 160kg of each progeny, which lie within time intervals, was considered as response variable. Several fixed and random effects were considered in the model being the MCMC method used in the Bayesian estimation. The deviance information criterion (DIC) was used to select the best model among those considered. MULTIVARIATE APPROACHES TO THE PHENOTYPIC STABILITY ANALYSIS SUZANKELLY CUNHA ARRUDA DE ABREU – Aluna do 70 período do curso de Administração da Universidade Federal de Lavras, e-mail: [email protected]; DANIEL FURTADO FERREIRA - Professor Adjunto 3 do Departamento de Ciências Exatas da Universidade Federal de Lavras, Bolsista CNPq, email: [email protected]. The objective of this work was to carry out the theoretical derivation of the bivariate extension of the methods proposed by Annicchiarico (1992). It was obtained an index based on the bivariate normal probabilities. An illustrative example of the results of the analyses was presented using the techniques previously described. KEY-WORDS: reliability index, bivariate normal distribution; principal components. EVALUATION OF TWO MATHEMATICAL MODELS IN COASTCROSS GRASS DEGRADABILITY IN SITU DESCRIPTION TACIANA VILLELA SAVIAN - UFLA, JOEL AUGUSTO MUNIZ - UFLA, LUIZ HENRIQUE DE AQUINO - UFLA, DANIEL FURTADO FERREIRA – UFLA We proposed to compare the fitting of models developed by Waldo (1972) and Mertens & Loften (1980) in the description in situ degradation of coastcross grass subjected to twelve cut ages in a randomized blocks design. We considered a split-splot arrangement where the times allocated to the subplots. The models didn’t showed a good fit to the NDF and CP datas. INDEX-TERMS: Degradability, Nonlinear models, Fit of model. ESTIMATE OF IN SITU DEGRADATION OF THE NEUTRAL DETERGENT FIBER AND CRUDE PROTEIN OF COASTCROSS GRASS (Cynodon dactylon x Cynodon nlemfuensis) TACIANA VILLELA SAVIAN, UFLA; JOEL AUGUSTO MUNIZ, UFLA; LUIZ HENRIQUE DE AQUINO, UFLA; DANIEL FURTADO FERREIRA, UFLA; FERNANDO TONIDANDEL BORINI, UFLA. We proposed to compare the fitting of models developed by Orskov & McDonald (1979) and McDonald (1981) in the description in situ degradation of Coastcross grass subjected to twelve cut ages in a randomized blocks design. We considered a split-splot arrangement where the times allocated to the subplots. The models showed a good fit to the NDF and CP datas. INDEX-TERMS: Degradability, Nonlinear models, Fit of model. EVALUATION OF THE PARAMETERS OF ORSKOV AND MCDONALD DEGRADABILITY MODEL TACIANA VILLELA SAVIAN – UFLA; JOEL AUGUSTO MUNIZ – UFLA; LUIZ HENRIQUE DE AQUINO – UFLA; DANIEL FURTADO FERREIRA – UFLA; HÉLIO REZENDE LIMA NETO - UFLA We proposed to fit the degradation model developed by Orskov and McDonald to the data came from a trial of in situ degradability, and to evaluate the goodness of fit. It was estimated the variances of the parameters estimators and the confidence interval for the parameters. The results showed a good fit of the model to the neutral detergent fiber data. Key Words: Degradability model, goodness of fit, nonlinear regression TESTES DE SUPERDISPERSÃO NUM ESTUDO EPIDEMIOLÓGICO EM BELO HORIZONTE - MG TÂNIA F. BOGUTCHI PUC – MG, DME - Dpto. Matemática e Estatística.; ENRICO A. COLOSIMO UFMG, DE -Dpto. de Estatística; ROBESPIERRE C. RIBEIRO Secretaria Municipal de Saúde, SMSA - BH.; JOEL A. LAMOUNIER UFMG, Faculdade de Medicina This study compare some statistical techniques proposed by Ganio & Schafer (1992), Dean (1992) and Smith & Heitjan (1993) to identify overdispersion in binomial data. The data comes from the II Epidemiological Study of Health School in Belo Horizonte - MG and the outcome variable was the cholesterol level proportion. Key-words: EXTRA-BINOMIAL VARIATION; TESTS; LOGIT MODEL. STRUCTURAL EQUATION MODELING TATIANA TERABAYASHI MELHADO Estatística, Universidade De São Paulo, [email protected]; LÚCIA PEREIRA BARROSO ESTATÍSTICA, UNIVERSIDADE DE SÃO PAULO, [email protected]; RINALDO ARTES ESTATÍSTICA, UNIVERSIDADE DE SÃO PAULO, [email protected] Structural Equation Modeling is a tecnique that is useful in situations that variables can’t be directly measured. In this paper it will be presented an example of its use in a study to evaluate financier-economic and social-familiar structure of modern familiar agriculturists. KEY WORDS: regression analysis, factorial analysis, measurement equations, structural equations. Address: Tatiana Terabayashi Melhado, Departamento de Estatística, Instituto de Matemática e Estatística da Universidade de São Paulo, e-mail: [email protected]. QUALIDADE NO ENSINO DE ESTATÍSTICA : IMPORTÂNCIA DO ESTUDO DE ESTATÍSTICA NO CURSO DE MEDICINA VETERINÁRIA TATIANE DE FÁTIMA BRANDÃO OLIVEIRA, aluna do 8º período de Medicina Veterinária da UFLA; MARCELO SILVA DE OLIVEIRA, professor de Estatística do departamento de Ciências Exatas da UFLA; To motivate changes on the medicine veterinary statistical teaching is a goal to be reach. To show what is essential for academic and professional work is a hard task, due to many difficulties in a teaching and learning for students of biological area. The purpose of this work is pointed out some failures on the statistical teaching for the medicine veterinary course and to enhance the learning, fullfiling the requirements of the course and professional activity ACURACCY OF VOLUMETRIC ESTIMATION FOR TREE SPECIES IN HUMID TROPICAL FORESTS THAIS CUNHA FERREIRA Engenheira Florestal, Aracruz Celulose SA, EDMILSON SANTOS CRUZ Departamento de Ciências Florestais, Universidade Federal de Lavras, [email protected]; PROF. JOSÉ ROBERTO SOARES SCOLFORO Departamento de Ciências Florestais, Universidade Federal de Lavras, [email protected]; PROF. ANTÔNIO DONIZETTE DE OLIVEIRA Departamento de Ciências Florestais, Universidade Federal de Lavras, [email protected]; PROF. JOSÉ MÁRCIO DE MELLO Departamento de Ciências Florestais, Universidade Federal de Lavras, [email protected]; PROF. DANIEL FURTADO FERREIRA Departamento de Ciências Exatas, Universidade Federal de Lavras, [email protected] Equations and form factors were selected for humid tropical forest and different options were evaluated. Volumetric and hypsometric equations are recommended for each diameter class. For massaranduba and tachi, general options and estimate for each species are recommended, while for tauari, the form factor and volumetric equations are recommended for each species. Key words: Volumetric equations, hypsometric equations; humid tropical forests INDEX OF HETEROGENEITY OF THE SOIL RELATED WITH THE GENETIC BASE IN CORN Thomas N. MARTIN – Engº Agrônomo, Mestrando - UFSM – [email protected]; Lindolfo STORCK – Prof. Tit. Dr. – Dep. Fitotecnia/CCR/UFSM – [email protected]; Alessandro Dal Col LUCIO – Prof. Adj. Dr. – Dep. Fitotecnia/CCR/UFSM; Sidnei José LOPES – Prof. Adj. Dr. – Dep. Fitotecnia/CCR/UFSM; Paula Machado dos SANTOS – Acad. de Agronomia, bolsista CNPQ – UFSM; Melissa Pisaroglo de Carvalho – Acad. de Agronomia, bolsista FAPERGS/BIC – UFSM The relationship between different genetic basis in corn culture was examined, giving emphasis to the size’ specimen and to the estimate index of heterogeneity of the soil. The test preceded with different genetic basis submitted to Bartlett’s homogeneity tests and with the parallelism between genotypes and it repetitions. VARIABLES FOR ANALYSIS OF THE INFANT MORTALITY IN PARANÁ STATE Tiemi MATSUO, DMAP-CCE, Universidade Estadual de Londrina, e-mail: [email protected]; Selma MAFFEI DE ANDRADE, MISC-CCS, Universidade Estadual de Londrina; Darli Antonio SOARES, MISC-CCS, Universidade Estadual de Londrina; José Carlos DALMAS, DMAP-CCE, Universidade Estadual de Londrina, e-mail: [email protected] This study was realized to identify variables related to the socioeconomic determinant of the inequality in the infant mortality. It was observed statistical significance of the income and water supply for neonatal mortality, and all variables was significant for mortality post-neonatal. FACTORS OF LIFE CONDITIONS ASSOCIATED TO THE MORTALITY IN THE PARANÁ STATE, YEAR 1999 Tiemi Matsuo, DMAP-CCE da UEL, e-mail: [email protected]; Fernando Vissoci Reiche, Acadêmico do Curso de Medicina da UEL, bolsista PIBIC CNPq/UEL; José Carlos Dalmas, DMAP-CCE da UEL, e-mail: [email protected]; Ana Satie Yotsumoto, DMAP-CCE da UEL, email: [email protected]; José da Costa Soeiro; DMAP-CCE da UEL, e:mail: [email protected] This study was accomplished with the frequency of deaths and resident population in the Paraná in the 1999. It registered 54801 deaths for a population with 9375665 inhabitants, resulting in the mortality coefficient of 58.5/10000 inhabitants'. The male gender and risk factor for cardiovascular diseases presented larger association with the mortality. AN INTERVIEWER INFFLUENCE EVALUATION ON OPINION SURVEY TÚLIO O. CARVALHO, Depto de Matemática Aplicada – UEL, CP 6001, Londrina – PR, 86051-990 – Brasil In this work, we use a χ2 homogeneity test to compare answers to questionaires of service or product evaluations, to verify the dependence of the frequency of responses on the interviewer. We simulate an application to pregnant assistency services and mention a potential application to market research. ACCURACY OF THE RELATIONSHIP BETWEEN HEIGHT AND DIAMETER FOR EVEN-AGED STANDS VALDIR CARLOS LIMA DE ANDRADE Doutorando em Engenharia Florestal - Bolsista CAPES, Florestas de Produção, Universidade Federal de Lavras, e-mail: [email protected] ; PROF. DR. JOSÉ ROBERTO SOARES SCOLFORO Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail: [email protected], PROF. DR. ANTÔNIO DONIZETTE DE OLIVEIRA Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras, e-mail: [email protected], In this work, four linear hipsometric models were adjusted using data from sample plots together with data from cubed trees. It was concluded that the inclusion of data from cubed trees reduces the number of sample-trees needed to characterize the hipsometric relationship without harming the quality of the estimates. Key words: Models identy, forest inventory, hipsometrics models IDENTITY AND ACCURACY OF THE VOLUMETRIC EQUATIONS OBTAINED BY ANALYTIC GEOMETRY VALDIR CARLOS LIMA DE ANDRADE Doutorando em Engenharia Florestal - Bolsista CAPES, Florestas de Produção, Universidade Federal de Lavras, e-mail: [email protected]; PROF. DR. JOSÉ ROBERTO SOARES SCOLFORO Professor do Departamento de Ciências Florestais, Universidade Federal de Lavras,e-mail: [email protected], The main propouse of this work was analyzed the identity and the accuracy of volumetric equations using analytic geometry and stem-analysis real data. It was found that identity among the generated equations from two data base. The best volumetric estimate was verified by analytic geometry. Key words: Models Identity, Forest Inventory, Volumetric Models, Height Relative Method, Analytic Geometry. AN EVALUATION OF THE BOOTSTRAP TEST FOR AUTOCORRETATION VÂNIA DE FÁTIMA LEMES DE MIRANDA DEX-UFLA - Universidade Federal de Lavras, email:[email protected], bolsista FAPEMIG; DANIEL FURTADO FERREIRA DEXUFLA - Universidade Federal de Lavras, email:[email protected], bolsista CNPq; MARCELO ANGELO CIRILLO DEX-UFLA - Universidade Federal de Lavras, email:[email protected] This works aimed to evaluate the performance of the bootstrap Durbin-Watson test by Monte Carlo simulations. The boostrap autocorrelation ñ test was considered efficient, nanly for small sample sizes and small ñ. Key words: autocorrelation, bootstrap, Durbin-Watson, Monte Carlo, power MAXIMUM LIKELIHOOD ESTIMATORS IN MIXTURE OF NORMAL DISTRIBUTIONS: AN APPLICATION IN GENETIC WALDEMAR PAMPLONA DA SILVA - Mestrando em Estatística / Experimentação Agronômica, UFLA, e-mail: [email protected]; EDUARDO BEARZOTI - Dr. em Genética / Melhoramento de Plantas, Prof. Adjunto Depto Ciências Exatas, UFLA, e-mail: [email protected]; DANIEL FURTADO FERREIRA - Dr. em Genética / Melhoramento de Plantas, Prof. Adjunto Depto Ciências Exatas, UFLA, e-mail: [email protected]; WILSON ROBERTO MALUF - PhD. Genética e Melhoramento / Horticultura, Prof. Titular Depto Agricultura, UFLA, e-mail: [email protected] The objective of this work was the obtaining of maximum likelihood estimators in mixture of normal distributions making use of P1 , P2 , F1 , F2 , RC11 and RC12 generations in study of agronomic genetic heritance of some continue characteristic, to explain if is due to action of a major gene or many of minor effect. Key-word s: genetic heritance, major effect gene, mixture of normal distribution, maximum likelihood estimators. CORRESPONDECE ANALYSIS: A ALTERNATIVE FOR UNSTABLE DATA W. BARIONI JR., A. COLDEBELLA, D. PEDROSO-DE-PAIVA The objective of the paper was of showing a statistical technique that allows to explain an environment problem, keeping the biological instability of the data, exigency of the researchers of the area. The correspondence analysis showed that is an effective tool for the analysis of unstable data, of multidimensional nature. NONLINEAR DYNAMICS IN FINNANCIAL SERIES: SOME EVIDENCES FROM THE IBOVESPA INDEX Washington Santos da SILVA, Doutorando em Estatística, UFLA, e-mail: [email protected], Tel. 0xx(35) 3821.9006.; Thelma SÁFADI, Profa. Dra. do Depto. de Ciências Exatas, UFLA, Caixa Postal:37, Lavras/MG, CEP. 37200-000, e-mail: [email protected], Tel. 0 XX (35) 3829.1370. Several empirical studies show evidences of non-linear dependences in financial series, such non-linearities can have nature stochastic or deterministic. Chaotic processes correspond to the first type and GARCH processes are an example of the last. In this study, the BDS test is applied to a series of returns of the Ibovespa index to capture great deviations of the hypothesis of an independent and identically distributed process in time. Such hypothesis is rejected and weak evidence of deterministic behavior exists. A GARCH model captures great part of the dependences evidenced by the BDS test. keywords: Ibovespa, GARCH models, BDS test. A COMMENT ON THE CONVERGENCE OF THE β -EXPANSION OF S = ½ AND S = 1 ISING MODELS WINDER A. MOURA-MELO, Faculdades Federais Integradas de Diamantina, Rua da Glória no 187, CEP 39100-000, Diamantina-MG, Brazil.; ONOFRE ROJAS, Departamento de Física. UFSCar, CEP 13565-905, São Carlos – SP, Brazil.; E. V. CORRÊA SILVA, Instituto de Física, Universidade Federal Fluminense Gal. Milton Tavares se Souza s/n., CEP 24210-340, Niterói – RJ, Brazil. ; S. M. DE SOUZA, Departamento de Ciências Exatas, UFLA, CP 37, CEP 37200000, Lavras-MG Brazil.; M. T. THOMAZ, Instituto de Física, Universidade Federal Fluminense Gal. Milton Tavares se Souza s/n., CEP 24210-340, Niterói –RJ, Brazil. In a previous, we derived the analytical expressions for the coefficients in the high temperature expansion of the Helmholtz free energy of periodic one-dimensional chains in the cumulant method, for arbitrary order in β. In order to do so, na auxiliary function was defined. The purpose of the present comment is that of showing that the existence of singularities ion this auxiliary function at finite values of β is associated to a poorer convergence of the β-expansion of thermodynamic quantities. Our discussion is based on the exactly solvable spin-1 and spin-½ Ising models, whose respective auxiliary functions have algebraic expressions valid for β ∈ [0,∞[. PACS numbers: 02.30.Mv, 05.50.+q. Keywords: Convergence of High Temperature Expansion; Ising Models; Statistical Mechanics. EXPLORATORY AND GEOSTATISTICAL ANALYSIS OF PHYSICAL ATTRIBUTES ON A EUTRUDOX RED LATOSOL ZIGOMAR MENEZES DE SOUZA Departamento de Solos e Adubos, UNESP-Jaboticabal-SP, e-mail: [email protected]; GENER TADEU PEREIRA Departamento de Ciências Exatas, UNESP-Jaboticabal-SP, e-mail: [email protected]; JOSÉ MARQUES JÚNIOR Departamento de Solos e Adubos, UNESP-Jaboticabal-SP, e-mail: [email protected] In order to analyze the physical properties spatial variability, regular grid containing 206 points spaced at separation distances of 50 meters was installed in São Paulo State, southern of Brazil. Soil samples were collected at 0.0-0.2 m in order to determine clay, silt and sand contents. Data were submitted to descriptive statistics, geostatistics technique. Occurrence of spatial dependence was observed for all the studied variables.