THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA
成果类型：
Article
署名作者：
ANSCOMBE, FJ
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/35.3-4.246
发表日期：
1948
页码：
246254
关键词：
摘要：
Transformations having the effect of approx. normalizing Poisson, binomial and negative-binomial variables are given to within a constant appearing in each transformation. Optimum values of the constants are defined as those which make the variance of the transformed variable most nearly constant, with obvious application in the technique of analysis of variance. Asymptotic formulae are given for the first four moments and for the efficiency in estimation of the original parameters for transformed variables of each of the 3 types. A table gives numerical results for representative values of the parameters of each type.
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