Comparison of Two Nonparametric Methods for Estimating the Reliability of Motor Performance Tests

Abstract

The purpose of this study was to compare the power and sampling distributions of the coefficient of concordance (W) and the weighted average tau (W a ) for the selected sets of parameters m, n, and α. The values of m and n were selected to represent situations in physical education for which test reliability and judge objectivity might be estimated. The comparison of W and Wa required the generation of data matrices with varying amounts of error (α) for each set of values m and n. The obtained distributions were used to make the necessary comparisons. Several conclusions were drawn: First, the sampling distributions of W and Wa were similar for the sets of parameters investigated in this study. Second, W and Wa were equally powerful for the sets of parameters investigated in this study. And third, the comparisons did not indicate that either statistic is more appropriate for estimating the reliability of motor performance tests. On the basis of the practical considerations of ease of computation and familiarity with the coefficient of concordance (W,) this statistic might be preferred.

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