Zheng Gang, Chen Zehua
Office of Biostatistics Research, DECA, National Heart, Lung and Blood Institute, 6701 Rockledge Drive, MSC 7938, Bethesda, Maryland 20892, USA.
Biometrics. 2005 Mar;61(1):254-8. doi: 10.1111/j.0006-341X.2005.030531.x.
In many practical problems, a hypothesis testing involves a nuisance parameter which appears only under the alternative hypothesis. Davies (1977, Biometrika 64, 247-254) proposed the maximum of the score statistics over the whole range of the nuisance parameter as a test statistic for this type of hypothesis testing. Freidlin, Podgor, and Gastwirth (1999, Biometrics 55, 883-886) studied two other simpler maximum test statistics, the maximum of the score statistics at two extreme points of the nuisance parameter, and the maximum of the score statistics at three points of the nuisance parameter including the two extreme points. In this article, we compare the powers of these three maximum-type statistics in the context of three genetic problems.
在许多实际问题中，假设检验涉及一个仅在备择假设下出现的干扰参数。戴维斯（1977年，《生物统计学》64卷，第247 - 254页）提出将得分统计量在干扰参数整个范围内的最大值作为这类假设检验的检验统计量。弗里德林、波德戈尔和加斯沃思（1999年，《生物计量学》55卷，第883 - 886页）研究了另外两个更简单的最大检验统计量，即得分统计量在干扰参数两个端点处的最大值，以及得分统计量在干扰参数包括两个端点在内的三个点处的最大值。在本文中，我们在三个遗传问题的背景下比较这三种最大类型统计量的功效。
