Abstract
Test statistics are developed for comparing vectors of proportions obtained from several independent two-stage cluster samples. It is assumed that clusters are selected with probability proportional to size for each sample. Wald's general method of constructing quadratic forms is used to obtain a large sample chi-square test. More easily evaluated chi-square tests are derived from the Dirichlet-multinomial model. Corresponding goodness-of-fit tests for the Dirichlet-multinomial model are also derived.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2977-2990 |
| Number of pages | 14 |
| Journal | Communications in Statistics - Theory and Methods |
| Volume | 15 |
| Issue number | 10 |
| DOIs | |
| State | Published - Jan 1 1986 |
Keywords
- Dirichlet-multinomial model
- Pearson chi-square test
- Wald statistics
ASJC Scopus subject areas
- Statistics and Probability