PMID- 2364131 OWN - NLM STAT- MEDLINE DCOM- 19900813 LR - 20041117 IS - 0006-341X (Print) IS - 0006-341X (Linking) VI - 46 IP - 2 DP - 1990 Jun TI - Testing the Hardy-Weinberg equilibrium in the HLA system. PG - 415-26 AB - A new method of testing the Hardy-Weinberg equilibrium in the human leukocyte antigen (HLA) system is proposed and applied to real data. The derivation is based on the maximum likelihood method and closely related to standard regression theory. The test statistic has a closed representation of residual sum of squares by a projection mapping of data onto the estimated regression plane. Under the Hardy-Weinberg law the noniterative estimates for the gene frequencies are suggested by the use of the projection mapping. The test statistic and gene frequency estimates are shown to be asymptotically equivalent to the maximum likelihood method and to be more efficient than the other suggested test statistic when there are more than two identified alleles. FAU - Eguchi, S AU - Eguchi S AD - Department of Mathematics, Shimane University, Matsue, Japan. FAU - Matsuura, M AU - Matsuura M LA - eng PT - Journal Article PL - England TA - Biometrics JT - Biometrics JID - 0370625 RN - 0 (HLA Antigens) SB - IM MH - *Biometry MH - Gene Frequency MH - HLA Antigens/*genetics MH - Humans MH - Likelihood Functions MH - Models, Statistical MH - Regression Analysis EDAT- 1990/06/01 00:00 MHDA- 1990/06/01 00:01 CRDT- 1990/06/01 00:00 PHST- 1990/06/01 00:00 [pubmed] PHST- 1990/06/01 00:01 [medline] PHST- 1990/06/01 00:00 [entrez] PST - ppublish SO - Biometrics. 1990 Jun;46(2):415-26.