Test for Parallelism Hypothesis of Several Groups with Two-step Monotone Missing Data(Session 4b)

Abstract

We consider a parallel profile model for several groups when the data has two-step monotone missing observations. For two-step monotone missing data, Anderson and Olkin (1985) obtained the MLEs of mean vector and covariance matrix for one sample problem. By the same way as Anderson and Olkin (1985), the MLEs for two sample problem have been obtained (see, e.g., Shutoh, Hyodo and Seo (2011)). Also, profile analysis of several groups was discussed by Srivastava (1987). In this paper, we construct a test statistic for parallel hypothesis based on the likelihood ratio with two-step monotone missing data. Finally, in order to investigate the accuracy for the null distribution of the proposed statistic, we perform Monte Carlo simulation for some selected values of parameters.