Moments of the quartic assignment statistic with an application to multiple regression |
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| Authors: | Dominic F. Vecchia Hari K. Iyer |
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| Affiliation: | 1. Statistical Engineering Division , National Institute of Standards and Technology , Boulder, CO 80303;2. Department of Statistics , Colorado State University , Fort Collins, CO 30523 |
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| Abstract: | We present the first three exact moments of the symmetric quartic assignment statistic. Efficient computational formulas have been derived to overcome severe difficulties in third moment calculations. Two examples illustrate applications of the quartic assignment statistic: evaluation of significant “clustering” or “mixing”; and distribution-free tests for equality of several planar regression models. This article extends previous results on the cubic assignment statistic in Iyer and Vecchia (1989). |
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| Keywords: | Distribution-free inference mixing indices multiple regression Pearson distribution permutation test |
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