NOTE ON HALDANE PAPER REGARDING THE TREATMENT OF RARE EVENTS

成果类型:
Article
署名作者:
PEARSON, ES
刊物名称:
BIOMETRIKA
ISSN/ISSBN:
0006-3444
DOI:
10.1093/biomet/35.3-4.301
发表日期:
1948
页码:
301303
关键词:
摘要:
Haldane''s use of inverse probability may be avoided by a direct method of attack in most cases. In the 2-sample problem, with a1 and a2 observed and E(ai) = mi, 2 cases may be handled directly. If the Poisson approximation is valid and a decision is based on the conditional distribution of a1 for fixed a1 + a2, the test involves a binomial distribution. Alternatively, without restriction to the conditional set, a1 is approx. normally distributed about (a1+a2) A with variance (a1+a2) [lambda] (1- [lambda] ), where [image].