Parameter estimates for two-way repeated measurement MANOVA based on multivariate Laplace distribution

Authors : Müge BORAZAN ÇELİKBIÇAK, Serpil AKTAŞ

Pages : 1533-1549

Doi:10.15672/hujms.743041

View : 13 | Download : 5

Publication Date : 2020-08-06

Article Type : Research Paper

Abstract :Repeated measures data describe multiple measurements taken from the same experimental unit under the different treatment conditions. In particular, researches with repeated measures data in various fields such as health and behavioral sciences, education, and psychology have an important role in applied statistics. There are many methods used to analyze the results of research designs planned with these measurements. The most important difference between these methods is the assumptions on which the models are based. One of the most important assumptions needed by classical methods is the normality assumption. Many methods are valid under the assumption of normality. However, it is not always possible to hold this assumption in applications. For this reason, in the analysis of repeated measures data, different distributions are necessary that can provide flexibility beyond the normal distribution, especially in cases where the assumption of normality does not hold. In this study, it is proposed to use Multivariate Laplace distribution insert ignore into journalissuearticles values(MLD); which is an alternative distribution in cases where normality assumption does not hold by examining the multivariate variance analysis model insert ignore into journalissuearticles values(MANOVA);. Under MLD assumption, the parameter estimates for the Two-way Repeated Measures MANOVA model are carried out with the maximum likelihood insert ignore into journalissuearticles values(ML); estimation and ML estimates are obtained via the EM Algorithm.
Keywords : MANOVA, Repeated measurement data, Multvariate Laplace Distribution, Em Algorithm, repeated measures MANOVA