Linear models analysis of small samples of categorized ordinal response data

A study of the small sample properties of linear models analyses of contingency tables with ordered response categories is presented. Analytical and empirical study of the linear models approach of Williams and Grizzle suggests that modification would improve its performance in small sample situations. Subsequent simulation studies of the modified procedure show that for small samples it has acceptable performance with respect to Type I errors and is robust with respect to response distribution form and inequality among the sample sizes in the contingency table.