Title Robustness of Generalized Linear Mixed Models for Split-Plot Designs with Binary Data
Authors Bono R. , Alarcón R. , Arnau J. , GARCÍA DE CASTRO, FERNANDO JAVIER, Blanca M.J.
External publication No
Means An. Psicol.
Scope Article
Nature Científica
JCR Quartile 3
SJR Quartile 3
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85159212257&doi=10.6018%2fanalesps.527421&partnerID=40&md5=250d8d3b7e3b5d063cfc4400e52e1e79
Publication date 01/04/2023
ISI 001036008600015
Scopus Id 2-s2.0-85159212257
DOI 10.6018/analesps.527421
Abstract This paper examined the robustness of the generalized linear mixed model (GLMM). The GLMM estimates fixed and random effects, and it is especially useful when the dependent variable is binary. It is also useful when the dependent variable involves repeated measures, since it can model correlation. The present study used Monte Carlo simulation to analyze the empirical Type I error rates of GLMMs in split-plot designs. The variables manipulated were sample size, group size, number of repeat-ed measures, and correlation between repeated measures. Extreme condi-tions were also considered, including small samples, unbalanced groups, and different correlation in each group (pairing between group size and correlation between repeated measures). For balanced groups, the results showed that the group effect was robust under all conditions, while for unbalanced groups the effect tended to be conservative with positive pair-ing and liberal with negative pairing. Regarding time and interaction ef-fects, the results showed, for both balanced and unbalanced groups, that: (a) The test was robust with low correlation (.2), but conservative for me-dium values of correlation (.4 and .6), and (b) the test tended to be con-servative for positive and negative pairing, especially the latter. © 2023, Universidad de Murcia Servicio de Publicaciones. All rights reserved.
Keywords Binary data; Generalized linear mixed models; Monte Carlo simulation; Type I error rate
Universidad Loyola members

Change your preferences Manage cookies