title: Simultaneous testing strategy for comparing two treatments in a stratified binomial trial.
abstract: The Mantel-Haenszel (M-H) procedure is commonly used to compare two treatments in a stratified binomial trial. However, this procedure is asymptotically optimal only if the odds ratio is constant across strata. We propose an alternative analytic strategy based on the simultaneous use of two statistics, ZS and ZI, each involving a weighted averaging of within-stratum differences between proportions. The two treatments are declared significantly different at overall level alpha if either min(ZS, ZI) > Zalpha/2 or max(ZS, ZI) > Zalpha*/2, where alpha* is data dependent. Our strategy is shown to be more powerful than the M-H and other related procedures. Numerical examples are provided for illustration.
authors.affiliation: Department of Statistics, Temple University, Philadelphia, Pennsylvania 19122, USA.
authors.forename: R A
authors.initials: RA
authors.lastname: Railkar
authors.forename: D V
authors.initials: DV
authors.lastname: Mehrotra
authors.forename: B
authors.initials: B
authors.lastname: Iglewicz
mesh_terms: D000319:Adrenergic beta-Antagonists / Q000627:therapeutic use; D000368:Aged; D016010:Binomial Distribution; D003627:Data Interpretation, Statistical; D006801:Humans; D008790:Metoprolol / Q000627:therapeutic use; D008875:Middle Aged; D009203:Myocardial Infarction / Q000188:drug therapy / Q000401:mortality; D016032:Randomized Controlled Trials as Topic / Q000706:statistics & numerical data*; D018401:Sample Size; D016896:Treatment Outcome
chemical_list: D000319:Adrenergic beta-Antagonists; D008790:Metoprolol