Testing for interaction in an IxJxK contingency table
I×J×K 列联表中的交互作用检验
Zelen (1971) proposed an asymptotic test for zero three-way interaction in the 2 × 2 × K table. This paper presents two examples for the 2 × 2 × 2 case where Zelen's test directly contradicts the data. We farther show that the correct asymptotic representation of Zelen's exact sampling distribution does, in fact, differ from his result. His test statistic will reject the null hypothesis with probability one asymptotically even under the null hypothesis, except in special…