JSM 2005 - Toronto

Abstract #303822

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 513
Type: Contributed
Date/Time: Thursday, August 11, 2005 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #303822
Title: A Tolerance Interval Approach for Assessment of Agreement in Method Comparison Studies with Repeated Measurements
Author(s): Pankaj Choudhary*+
Companies: The University of Texas Southwestern Medical Center at Dallas
Address: Department of Mathematical Sciences, Richardson, TX, 75083-0688, United States
Keywords: Agreement ; Method comparison ; Tolerance interval ; Mixed effects model ; Concordance ; Longitudinal data
Abstract:

The total deviation index of Lin (2000) and Lin et al. (2002) is an intuitive approach for assessment of agreement between two methods of measurement. It works by constructing a probability content tolerance interval for the distribution of differences of the paired measurements. We generalize this approach for the case when we have repeated measurements from the two methods. Our approach is to first model the data using a mixed-effects model and then construct the tolerance interval for the distribution of appropriately defined differences. The methodology is presented in the general context of a mixed model that can handle the effect of a covariate, such as the time of measurement or a proxy for the magnitude of the true measurement, and heteroscedasticity and serial correlation between the errors. Three real-data applications are presented to illustrate the methodology.


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Revised March 2005