Multiple Comparisons with Two Controls for Ordered Categorical Responses

• Activity Number: 546
• Type: Contributed
• Date/Time: Wednesday, August 12, 2015 : 10:30 AM to 12:20 PM
• Sponsor: Biopharmaceutical Section
• Author(s): Ping Yang* and Siu Hung Cheung and Wai Yin Poon
• Companies: The Chinese University of Hong Kong and The Chinese University of Hong Kong and The Chinese University of Hong Kong
• Keywords: Ordinal responses ; Multiple comparisons ; Multiple controls ; Familywise error rate ; Latent normal model

Abstract

In clinical studies, ordered categorical responses are common. To compare the efficacy of several treatments with a control for ordinal responses, the normal latent variable model has recently been proposed. This approach conceptualizes the responses as manifestations of an underlying continuous normal variable. In this paper, we extend this idea to develop the multiple comparison method for use when there are two controls in the clinical trial. The proposed method is constructed such that the familywise type I error rate is controlled at a pre-specified level. In addition, for a given level of test power, the procedure to evaluate the required sample size is provided. The proposed testing procedure is also illustrated by an example from a clinical study.