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Measuring agreement between two statistics with applications to age standardization
Authors:Michael P. Fay   Ji-Hyun Lee
Affiliation:National Institute of Allergy and Infectious Diseases, Bethesda, USA; University of South Florida, Tampa, USA
Abstract:Summary.  We detail a general method for measuring agreement between two statistics. An application is two ratios of directly standardized rates which differ only by the choice of the standard. If the statistics have a high value for the coefficient of agreement then the expected squared difference between the statistics is small relative to the variance of the average of the two statistics, and inferences vary little by changing statistics. The estimation of a coefficient of agreement between two statistics is not straightforward because there is only one pair of observed values, each statistic calculated from the data. We introduce estimators of the coefficient of agreement for two statistics and discuss their use, especially as applied to functions of standardized rates.
Keywords:Concordance correlation coefficient    Mean–median correlation    Random marginal agreement coefficient    Rater comparison    Standardization    Vital rates
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