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关于使用多个样本检验正态性:花生黄曲霉毒素数据的分析

On testing normality using several samples: an analysis of peanut aflatoxin data.

作者信息

Quesenberry C P, Whitaker T B, Dickens J W

出版信息

Biometrics. 1976 Dec;32(4):753-9.

PMID:1009224
Abstract

Eight samples of size 16 and three samples of size 15 consisting of replicate determinations of aflatoxin in peanut subsamples were considered. These data were analyzed to decide whether the samples could have arisen from two-parameter normal or lognormal parents. The method of analysis consisted of first transforming the individual samples in such a way that the transformed values had uniform distributions on the unit interval under the null hypothesis. The transformed values were then pooled and tested for uniformity. Results of the analysis indicated that the normal model fitted the data quite well and definitely better than the lognormal model.

摘要

研究了8个大小为16的样本和3个大小为15的样本,这些样本由花生子样本中黄曲霉毒素的重复测定组成。对这些数据进行分析,以确定样本是否可能来自双参数正态或对数正态母体。分析方法包括首先对各个样本进行变换,使得在原假设下变换后的值在单位区间上具有均匀分布。然后将变换后的值合并并检验其均匀性。分析结果表明,正态模型对数据的拟合相当好,肯定比对数正态模型好。

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