Uso de alguns estimadores ridge na análise estatística de experimentos em entomologia

Abstract

Use of some ridge estimators in the statistical analysis of experiments in entomologyA large number of experiments in agronomic sciences use variables that may give rise to problems of multicollinearity. About the applicability of regression models, the problem of multicollinearity results mainly in increased standard error, thus, the Student's t-value is reduced, affecting the inferential results. Many actions are proposed in the literature to solve the problems of multicollinearity, however, the performance of these measurements are subject to the degree that multicollinearity of the variables may present, as well as the sample size. To address this problem, this paper aims to evaluate some ridge estimators using the Monte Carlo's simulation and demonstrate their application using real data from an entomological experiment. The ridge estimators evaluated were effective, in comparison with the least squares estimator. The results showed that the ridge estimators evaluated can be applied to experimenst that consider the variables with different degrees of multicollinearity, for samples greater than n=50.

Generalized ridge estimators adapted in structural equation models

“…Mantaining the usual assumptions of the structural model, where the expectations of error vectors and latent variables equal zero, and (i = 1, 2, 3) are not correlated; (j = 1, 2, 3, 4) are not correlated to , and ; and (i = 1, 2, 3) are nor correlated to , and . The indicators of exogenous latent variables will be considered multicollinear in different levels, being generated by Monte Carlo simulations, according to the procedure proposed by Pereira, Milani, and Cirillo (2014) [Equation 20]. Table 2.…”