The Logit Method for Combining Tests.

Abstract : A new combination statistic, the sum of the logits of P-values is introduced and its standardized form is found to be essentially equivalent to a standardized Student t in null distribution. Comparisons with Fisher's omnibus procedure by Bahadur ARE, membership in a complete class of tests and a Monte Carlo simulation of the power functions, show that both procedures are equivalent by the first criterion and neither procedure is generally dominant by either of the two criteria. (Author)