Analysis of Dispersion with Incomplete Observations on One of the Characters
Analysis of Dispersion with Incomplete Observations on One of the Characters
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对某一性状的不完全观察的离散度分析
DOI：
10.1111/j.2517-6161.1956.tb00232.x
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发表时间：
1956
期刊：
影响因子：
--
通讯作者：
C. Radhakrishna Rao
中科院分区：
文献类型：
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作者：
C. Radhakrishna Rao
在分析（分析方差分析）中，Wilks的λ标准用于测试所有多个字符的假设，如果在本文中丢失了对一个或多个字符的某些观察结果。当数据仅在一个字符中遗漏的情况下，这是一个可能的比例。已经发现了标准，并且已经在不对称序列中暴露了前几个术语，该术语仅使用第一个术语使用一个卡方和两个方差近似。用作其他近似值的情况，没有校正术语似乎会扭曲可能性。
In analysis of dispersion (multivariate generalization of the analysis of variance) Wilks' Λ criterion for testing hypotheses on all the multiple characters simultaneously cannot be applied if some observations on one or more of the characters are missing. In this article is provided a suitable criterion when data become incomplete due to missing observations in one of the characters only. This is the likelihood ratio criterion with a slight modification. The exact moments of this criterion have been found and the distribution has been exhibited in an asymptotic series with the first few terms providing a powerful approximation. Using only the first term one Chi-square and two variance ratio approximations have been suggested, and the Chi-square approximation is recommended for use as the other approximations by themselves without correction terms seem to distort the probabilities.