Several methods have been used by researchers to determine the optimum size of experimental plot and control of experimental error, the most widespread are: empirical method of Smith (1938), method of visual inspection of maximum curvature (Federer, 1955), method of maximum curvature coefficient of variation (Lessman & Atkins, 1963). Some methods of segmented model adjustment was recently proposed to (linear with plateau) to determine the optimum plot size (Paranaiba et al., 2009). All methods mentioned above have used data from assays for measuring uniformity variability between possible plot sizes. The data used in this study were obtained through computer simulation data of a uniformity test. The goal proposed in this paper is to use statistical techniques to determine the optimal sample size. We conclude the optimum plot size was achieved by the method of maximum curvature coefficient of variation which showed a R2 of 0.9818
Genetic research on the coffee culture, have had great expansion and, in most cases, the samples consist of collecting leaves or fruits in different plants constituting sampling in more than one stage. In two-stage sampling or sub-sampling, designated hierarchical sampling, the population is N_1 primary units and each primary unit by N_2 individuals. n_1 primary units are selected, and each selected n_2 individuals. To determine the optimal size of the biological sample is necessary to have data obtained from experiments conducted well and faithfully express the variability between coffee plants and fruits, from plants for conditions which may vary according to the studiedgenes. In general, the size of the biological sample used may be underestimated due mainly to the relationship between the variances and cost ratio.
RESUMO. Técnicas de análises de experimentos que utilizam medidas repetidas ao longo do tempo devem considerar a estrutura de correlação entre tempos e dentro de tempos. Neste trabalho foi analisado à produção de matéria seca com o uso de nutrientes de alta e baixa concentração, no qual foi constatado por meio do teste de Mauchly que a matriz de covariância do modelo proposto, não satisfaz ao critério de esfericidade, não possuindo variâncias iguais e correlações nulas. Esse fato pode tornar inválidos os testes F da análise de variância aplicados as fontes de variações presentes na subparcela, portanto foi utilizado duas formas de corrigir os respectivos graus de liberdade, e com isso garantir que a distribuição F seja exata. No estudo da produção matéria seca, ficou constatado que indefere o uso dos nutrientes na produção da matéria seca e este fato foi confirmado pela análise clássica de variância, bem como na análise de variância corrigida.Palavras chave: Matéria seca, parcela subdividida no tempo, teste de esfericidade de Mauchly Corrected variance analysis for the production of dry matter generated over time ABASTRACT. Technical analysis experiments using repeated measures over time should consider the correlation structure between time and within time. Dry matter production with the usage of high and low nutrient concentration was analyzed in this work. (It) was found through Mauchly test the covariance matrix of the model (which) does not satisfy the criterion sphericity and do not have equal variances and zero correlations. This fact may turn the F test invalid for the analysis of variance applied to the sources of variation present in the subplot, so it used two paths to fix the respective degrees of freedom, and thus ensure that the F distribution is accurate. In the study of dry matter production, was verified that the use of nutrients in the production of dry matter is not relevant and this fact was confirmed by classical analysis of variance and the corrected variance analysis.
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