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TESTING HYPOTHESES ABOUT LINKAGE DISEQUILIBRIUM WITH MULTIPLE ALLELES
B. S. Weir 1 and C. Clark Cockerham 1
1 Department of Statistics, North Carolina State University,
P. 0. Box 5457, Raleigh, North Carolina 27607
For loci with multiple alleles, hypotheses about linkage disequilibrium may be tested on the complete set of gametic data, or on various collapsed sets of data. Collapsing data into a few alleles at each locus can change the power of the tests, as implied in a recent paper by Zouros, Golding and Mackay (1977). We show that the nature of such changes can be found from properties of the noncentral chi-square distribution, and that the magnitude and direction of these changes depend on the levels of linkage disequilibria, allelic frequencies and degrees of freedom.
Submitted on June 14, 1977Revised on November 21, 1977
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