This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 170
Type: Contributed
Date/Time: Monday, August 2, 2010 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #306636
Title: Testing the Product of Slopes in Related Regressions
Author(s): Christopher H. Morrell*+ and Veena Shetty and Terry Phillips and Thiruma Arumugam and Mark Mattson and Ruiqian Wan
Companies: Loyola University Maryland and MedStar Research Institute and National Institute on Aging and National Institute on Aging and National Institute on Aging and National Institute on Aging
Address: 4501 North Charles Street, Baltimore, MD, 21210,
Keywords: Multivariate multiple regression ; linear mixed-effects model ; non-linear mixed effects model
Abstract:

A study was conducted of the relationships among variables in brain tissue from mice at different ages. Investigators wished to assess if the cross-product of slopes of pairs of variables with age is positive or negative. Since the measurements are taken on the same mice, the models used must account for the non-independence of the measurements within mice. A number of approaches are illustrated. First a multivariate multiple regression model is employed. Since we are interested in a nonlinear function of the parameters, the delta method is used to obtain the standard error of the estimate of the product. Second, a linear mixed-effects model is fit that allows for an appropriate correlation structure among repeated measurements. Finally, a non-linear mixed-effects approach is taken to fit the model and conduct the test. A simulation study investigates the properties of the procedures.


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