Abstract #300718

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JSM 2003 Abstract #300718
Activity Number: 299
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #300718
Title: Measuring Agreement between Statistical Methods with Applications to Age Standardization
Author(s): Michael P. Fay*+ and Ji-Hyun Lee
Companies: National Cancer Institute and University of North Carolina
Address: 3205 Adams Mill Rd. NW, Washington, DC, 20010-1008,
Keywords: concordance correlation coefficient ; agreement ; standardization ; vital rates
Abstract:

We propose a measure of agreement between two statistics applied to the same data, which we call the Proportion of Variance Attributable to Choice of Statistic (PVACS). The PVACS ranges from 0 (ideal agreement) to 1. When the expectations of the two statistics are the same, then a transformation of the PVACS equals the concordance correlation coefficient of Lin (1989), which is used to measure agreement between two assays or instruments. When the expectations of the two statistics differ, we show that the PVACS is slightly better for our purposes. First, we explore an instructive example that compares the mean to the median applied to a set of independent random variables from the same distribution. We calculate the PVACS for several distributions and discuss how the PVACS is estimated from the data. Second, we explore a practical example of the PVACS using vital rate data where we compare a ratio of directly standardized rates calculated with one standard with the same ratio calculated using a different standard.

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