Statistical test with sample size and power calculation for paired repeated measures designs of method comparison studies

The paired repeated measures (PRM) design has been commonly used in comparison studies to demonstrate that two measures agree sufficiently up to a pre-specified threshold. Due to the nature of dependence in repeated measures, existing methods for analyzing these comparison studies are often ad hoc and less than satisfactory. We propose a new test together with sample size and power calculation for PRM designs, which exhibit very good finite sample performance. We demonstrate favorable performance of the proposed methods through numerical studies. We provide very efficient R programs for our methods in a publicly available R package.