SIMPLE TEST FOR THE HARDY-WEINBERG LAW FOR HLA DATA WITH NO OBSERVED DOUBLE BLANKS

Eguchi and Matsuura (1990, Biometrics 46, 415-426) noted that the gene ralized Stevens test statistic for the Hardy-Weinberg law for human le ukocyte antigen (HLA) data yields an excessively large value when no d ouble blanks are observed. In this paper, we investigate this aberrant case. The inflated value of the test statistic is caused mainly by a seriously biased Bernstein's estimator of the recessive. We propose th e generalized Stevens test using bias-corrected Bernstein's estimators for HLA data with no observed double blanks. An example illustrates t he correction of the test statistic.