Statistical Analysis for Correlated Paired-plot Designs
Dilermando Perecin *
Departamento Ciências Exatas, FCAV, Universidade Estadual Paulista, UNESP, Via de Acesso Prof. Paulo Donato Castellane, s/n, CEP:14884-900, Jaboticabal-SP, Brasil
Guilherme Moraes Ferraudo
Monsanto do Brasil LTDA, Av. das Nações Unidas 12901, Torre Norte, Brooklin, CEP 04578-910, São Paulo SP, Brasil
Carlos Alberto Mathias Azania
Centro de Cana IAC, Rod. Prefeito Antonio Duarte Nogueira, km 321, CEP 14001-970, Ribeirão Preto SP, Brasil
Ana Regina Schiavetto
Centro de Cana IAC, Rod. Prefeito Antonio Duarte Nogueira, km 321, CEP 14001-970, Ribeirão Preto SP, Brasil
*Author to whom correspondence should be addressed.
Abstract
This work is aimed to evaluate different statistical analysis with a randomized complete block design for paired-plot studies of herbicide selectivity in sugarcane experiments. Two procedures were considered: i) the construction of a t-test to assess the hypothesis of the paired-plot mean difference to be zero in each treatment; or ii) the use of an analysis of variance where the treated and paired plots were considered in a split-plot model and the interaction is sliced by treatment. By simulation with normal bivariate distributions, with uniform (zero, 0.11, 0.33, 0.44, 0.67 or 0.89) or heterogeneous correlations, the two procedures showed similar performance. The power of the tests increases as the correlation of paired-plot increases.
Keywords: Selectivity, herbicides, sugarcane, multiple comparisons, simulation