An adaptation of pseudo-score confidence interval method for linear mixed models

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Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:2
An adaptation of pseudo-score confidence interval method for linear mixed models

An adaptation of pseudo-score confidence interval method for linear mixed models

Authors : Hatice Tul Kubra AKDUR, Deniz OZONUR, Hulya BAYRAK

Pages : 902-913

Doi:10.15672/hujms.510261

View : 21 | Download : 7

Publication Date : 2020-04-02

Article Type : Research Paper

Abstract :We adapt a confidence interval method based on a generalized Chi-Square test for fixed effect parameters of linear mixed models. Under different correlation structure of a response variable of a linear mixed model, the performances of the adaptation method pseudo-score and some of the existing confidence interval methods are investigated by carrying out a Monte Carlo simulation study. The simulation study suggests that pseudo-score method provides better results for small to moderate sample size cases with dependent observations in terms of coverage probability rates and average expected lengths. A depression study is analyzed for demonstrating the adaptation method.
Keywords : linear mixed models, pseudo score, profile likelihood

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