Haber M
Am J Hum Genet. 1980 Sep;32(5):754-60.
The problem of detection of inbreeding effects by the chi-square goodness-of-fit test is investigated. The noncentrality parameter of the limiting chi-square distribution is considered as a function of the inbreeding coefficient in two models: (1) a gene locus with m codominant alleles and (2) the generalized ABO model. Previous results by Ward and Sing and by Chakraborty and Rao were based on inadequate statistical reasoning. In the first model, the resulting noncentrality parameter is identical with that found by Ward and Sing. For the second model, the limiting noncentrality parameter is found to be zero.
研究了通过卡方拟合优度检验检测近亲繁殖效应的问题。在两个模型中,将极限卡方分布的非中心参数视为近亲繁殖系数的函数:(1)具有m个共显性等位基因的基因座和(2)广义ABO模型。沃德和辛以及恰克拉波蒂和拉奥之前的结果基于不充分的统计推理。在第一个模型中,得到的非中心参数与沃德和辛发现的相同。对于第二个模型,极限非中心参数被发现为零。