Pasternack B S, Shore R E
Biometrics. 1982 Dec;38(4):1057-67.
The comparability between an analysis of variance that employs untransformed proportions and one that employs two common arcsine transforms is assessed by using preweaning mouse litter survival data from a toxicological experiment that involves stable laboratory populations. The importance of controlling for litter order, litter size and birth cohort is demonstrated. An adaptation of a nonparametric method suggested by Mantel (1963, Journal of the American Statistical Association 58, 690-700) is proposed as an alternative procedure. Although the results indicate that the nonparametric method is modestly less powerful than the parametric approach, its use is recommended when the assumptions underlying the analysis of variance are questionable. A method for plotting the temporal pattern of the effect of continuous exposure to the toxicant (DDT) on preweaning survival is also presented.
利用来自涉及稳定实验室种群的毒理学实验的断奶前小鼠窝仔存活数据，评估了采用未转换比例的方差分析与采用两种常用反正弦变换的方差分析之间的可比性。证明了控制窝仔顺序、窝仔大小和出生队列的重要性。提出了对Mantel（1963年，《美国统计协会杂志》58卷，690 - 700页）建议的非参数方法的一种改编，作为替代程序。尽管结果表明非参数方法的功效略低于参数方法，但当方差分析所基于的假设存在疑问时，建议使用该方法。还提出了一种绘制连续暴露于毒物（滴滴涕）对断奶前存活影响的时间模式的方法。
