Expected Loss Functions as Additional Measures to Assess Performance of Multiple Testing Procedures for Combination Drug Dose Finding

• Activity Number: 661
• Type: Contributed
• Date/Time: Thursday, August 2, 2012 : 10:30 AM to 12:20 PM
• Sponsor: Biopharmaceutical Section
• Author(s): Julia Soulakova*+ and Allan Sampson
• Companies: University of Nebraska and University of Pittsburgh
• Keywords: Average test ; Dose Response ; Maximum test ; Minimum effective dose ; Step-wise procedure

Abstract

There are several measures that are commonly used to assess performance of a multiple testing procedure (MTP). These measures include the power, overall error rate (family-wise error rate), and lack of power. In settings where the MTP is used to estimate a parameter, for example, the minimum effective dose, bias is of interest. In some studies, the parameter has a set-like structure and thus, bias is not well defined. However, the accuracy of estimation is one of the essential features of an MTP in such a context. We propose several measures based on the expected values of loss functions that resemble bias. These measures are constructed to be useful in combination drug dose response studies, when the target is to identify all minimum efficacious drug combinations. One of the proposed measures allows for assigning different penalties for incorrectly over- and under-estimating a true minimum efficacious combination. The presented ideas can be generalized to construct measures that resemble bias in other settings. These measures can serve as an essential tool to assess performance of several methods for identifying set-like parameters in terms of accuracy of estimation.