TESTING THE GOODNESS OF FIT OF THE BINOMIAL DISTRIBUTION
成果类型：
Article
署名作者：
TARONE, RE
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
发表日期：
1979
页码：
585590
关键词：
摘要：
Using the C(.alpha.) procedure of Neyman (1959), tests were derived for the goodness of fit of the binomial distribution which are asymptotically optimal against generalized binomial alternatives proposed by Altham (1978) and Kupper and Haseman (1978). The C(.alpha.) tests optimal against correlated binomial alternatives, beta-binomial alternatives and a general class of mixture alternatives suggested by Wisniewski (1968) are shown to be closely related to the binomial variance test. A numerical example is given and the small sample behavior of the variance test and the C(.alpha.) tests is investigated in a Monte Carlo sampling experiment. The asymptotic relative efficiencies of the goodness of fit statistics are examined. [The analysis of a teratogenicity study, using the proportions of affected fetuses in the litters of mothers, is the example.].