This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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170
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Type:
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Contributed
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Date/Time:
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Monday, August 2, 2010 : 10:30 AM to 12:20 PM
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Sponsor:
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Biometrics Section
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Abstract - #306636 |
Title:
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Testing the Product of Slopes in Related Regressions
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Author(s):
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Christopher H. Morrell*+ and Veena Shetty and Terry Phillips and Thiruma Arumugam and Mark Mattson and Ruiqian Wan
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Companies:
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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
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Address:
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4501 North Charles Street, Baltimore, MD, 21210,
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Keywords:
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Multivariate multiple regression ;
linear mixed-effects model ;
non-linear mixed effects model
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Abstract:
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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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