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Activity Number:
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294
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Type:
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Contributed
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Date/Time:
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Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Nonparametric Statistics
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| Abstract - #309229 |
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Title:
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Analysis of Within-Individual Areas Under the Curve Weighted by an Individual Variance
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Author(s):
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Jeff Thostenson*+ and Reid Landes
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Companies:
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University of Arkansas for Medical Sciences and University of Arkansas for Medical Sciences
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Address:
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4301 W Markham Street, Little Rock, AR, 72211,
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Keywords:
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Trapezoidal rule ; Simpson's rule ; Weighting ; Repeated measures
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Abstract:
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The area under a curve (AUC) can serve as a powerful summary measure in diverse disciplines. Often, analyses of AUC data assume equal variance across individuals, which may not be true. Weighting each individual's AUC with its inverse variance can sharpen inference. A novel method for calculating the variance of an individual's AUC is provided and implemented on two types of AUC data: monotone decreasing (increasing) and nonmonotonic curves. From botany a study of tree bud break, and from psychology a study of impulsivity are analyzed as illustrative examples.
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