THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA
THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA
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DOI：
10.2307/2332343
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发表时间：
1948-01-01
期刊：
影响因子：
2.7
通讯作者：
ANSCOMBE, FJ
中科院分区：
文献类型：
--
作者：
ANSCOMBE, FJ
具有近似效果的变换。标准化泊松，二项和负二项变量被赋予在每个变换中出现的常数内。常数的最佳值被定义为使变换变量的方差最接近常数的值，在方差分析技术中有明显的应用。渐近公式给出的前四个时刻和效率在估计的原始参数的转换变量的3种类型的每一个。表格给出了每种类型参数的代表值的数值结果。
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.