Exact moments of the symmetric cubic assignment statistic |
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Authors: | Hari K Iyer Dominic F Vecchia |
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Institution: | 1. Department of Statistics , Colorado State University , Fort Collins, CO, 80523;2. Statistical Engineering Division , National Institute of Standards and Technology , Boulder, CO, 80303 |
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Abstract: | Hubert (1987Assignment Methods in Combinatorial Data Analysis) presented a class of permutation, or random assignment, techniques for assessing correspondence between general k-dimensional proximity measures on a set of “objects.” A major problem in higher-order assignment models is the prohibitive level of computation that is required. We present the first three exact moments of a test statistic for the symmetric cubic assignment model. Efficient computational formulas for the first three moments have been derived, thereby permitting approximation of the permutation distribution using well-known methods. |
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Keywords: | Pearson distribution permutation test |
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