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Robbie Beyl

Pennington Biomedical Research Center



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Jeff Burton

Pennington Biomedical Research Center



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William D. Johnson

Pennington Biomedical Research Center



516 – Speed Session #6: Statistics in Epidemiology, Part 2

Comparison of Power from Area Under the Curve and Mixed Effects Models Methodologies for Profile Analysis

Sponsor: Section on Statistics in Epidemiology
Keywords: AUC, Mixed model, Profile analysis, OGTT, Power

Robbie Beyl

Pennington Biomedical Research Center

Jeff Burton

Pennington Biomedical Research Center

William D. Johnson

Pennington Biomedical Research Center

Assume that study subjects are randomly assigned to one of two treatments and assessed for a specific response at time 0 (baseline) and each of three post-treatment times. Further, assume the objective is to compare the treatments with respect to their response profiles across time. This setting is representative of an oral glucose tolerance test used in diabetes research. While the analytical method of choice is to employ mixed effects models for repeated measures, many biomedical researchers prefer comparing the treatments in terms of area under the curve (AUC). Thus, the goal is to determine if one of the analytical methods is more powerful than the other. Data are generated under the null hypothesis and for various configurations of means under the alternative hypothesis. These cases include changes to none, one, two, and all three of the post treatment means. The power curves estimated from these data are adjusted such that estimated power for both tests is equal to the nominal significance level under the null hypothesis. Once adjusted, we compare power between the two testing methodologies across the specified mean configurations.

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