Work

Cochran–Mantel–Haeszel stratified-adjusted test for multiple odds ratios

Year: 2025

Type: article

Abstract: The Cochran-Mantel-Haeszel test (thereby CMH test) is commonly applied to test whether exposure to a risk factor has significant impact on the clinical outcome. However, studies in medical research often require the identification of significant risk factors simultaneously. In the literature, one of the ubiquitous approaches that strongly control the familywise error rate for multiple tests is the Holm's step-down procedure. It elegantly applies the first-degree Bonferroni inequality at each step to reject hypotheses. When the number of to-be-tested hypotheses is large, Holm's procedure unavoidably inherits the conservativeness of the Bonferroni inequality, which makes it almost useless when dealing with large population inference. In this paper, we propose a general sequentially rejective procedure for simultaneous inference on two or more odds ratios. We prove that the new procedure is uniformly more powerful than the Holm's procedure. Simulation studies show that the improvement is very substantial in some scenarios.

Source: Statistics & Probability Letters

DOI: 10.1016/j.spl.2025.110464

Authors: Asmita Ghoshal, John T. Chen

Institution: Bowling Green State University

Language: English

Topic: Statistical Methods in Clinical Trials

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $3,180