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Title: Otimização de fatores para a clonagem em coffea arábica utilizando correlação canônica em experimentos rotacionais subdivisíveis em blocos
Other Titles: Factor optimization for cloning in coffea arabica using canonical correlation in block subdivisible rotational experiments
Authors: Cirillo, Marcelo Ângelo
Freire, Evelise Roman Corbalan Gois
Fernandes, Tales Jesus
Rezende, Tiago Teruel
Silva, Jackelya Araujo da
Keywords: Coordenada polar
Coordenada esférica
Simulação Monte Carlo
Segmentos caulinares
Delineamento D-ótimo
Polar coordinate
Spherical coordinate
Monte Carlo simulation
D-optimal design
Stem segments
Issue Date: 10-Aug-2023
Publisher: Universidade Federal de Lavras
Citation: FERREIRA, H. A. Otimização de fatores para a clonagem em coffea arábica utilizando correlação canônica em experimentos rotacionais subdivisíveis em blocos. 2023. 83 p. Tese (Doutorado em Estatística e Experimentação Agropecuária)–Universidade Federal de Lavras, Lavras, 2023.
Abstract: The blocking of rotational designs depending on the number of factors and repetitions, can result in almost orthogonal designs and in this situation, there is an alternative to the use of optimal designs, which minimizes the variance of the estimates of the parameters of the model to be adopted. In a multivariate approach, the consideration of the experimental structure becomes more complex, since covariance matrices between factor levels must be analyzed. Following these arguments, this work aims to evaluate the efficiency of equiradial subdivisible designs in blocks, with and analysis of redundancy indices description of the percentage of variability in the first canonical pair of variables. For this, Monte Carlo simulations were used in different scenarios, involving sample sizes (N), heterogeneity between the covariance matrices and specification of polar and spherical coordinates. It was concluded that for the equiradial design in the shape of a hexagon, it presented better efficiency indices. Regarding the percentage of variation explained by the first to canonical and the redundancy indices, the results were similar in relation to the use of polar and spherical coordinates, for all situations involving degree of heterogeneity between the covariance matrices and sample sizes. Finally, perform an application on data from stem segments of an arabica coffea progeny.
Description: Arquivo retido, a pedido da autora, até agosto de 2024.
Appears in Collections:Estatística e Experimentação Agropecuária - Doutorado (Teses)

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