On the Behaviour of Wald Statistics for the Disjunction of Two Regular Hypotheses
两个正则假设的析取下 Wald 统计量的行为
SUMMARY Occasionally hypotheses arise which, although not themselves regular, have the logical structure of the disjunction of two, or in general several, regular hypotheses. An example of such a hypothesis is that of collapsibility in a three-way contingency table as defined by Whittemore. When such a hypothesis is to be tested, a Wald test appears, superficially, to offer a convenient solution. However, closer inspection reveals that the irregularity intrinsic to such…