Goodness-of-fit tests for mode ling ordinal data

摘要

Two methods based on Pearson chi-squared test and un-weighted sum of residual squares are developed and the approximate expectations and variances of the test statistics are computed. Four major variants of working correlation structures-independent, AR (1), exchangeable and unspecified - are considered to estimate the variances of the proposed test statistics. Simulation studies in terms of type I error rate and the power performance of the proposed tests are presented for various sample sizes. The approaches are demonstrated using two real data sets. (30 refs.)