AN APPROXIMATE DISTRIBUTION OF ESTIMATES OF VARIANCE COMPONENTS
AN APPROXIMATE DISTRIBUTION OF ESTIMATES OF VARIANCE COMPONENTS
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DOI：
10.2307/3002019
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发表时间：
1946-01-01
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影响因子：
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通讯作者：
SATTERTHWAITE, FE
中科院分区：
文献类型：
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作者：
SATTERTHWAITE, FE
在许多实际问题中，可用的最有效的方差估计是2个或多个独立均方的线性函数，其精确分布通常过于复杂而无法实际使用。用本文给出的方法确定的自由度数的卡方分布可以得到一个满意的近似。许多问题，如均值之差，可以使用这些复杂的方差估计进行更保守的分析。这样就可以避免关于方差同质性的假设。
In many practical problems the most efficient estimate of variance available is a linear function of 2 or more independent mean-squares, the exact distribution of which is usually too complicated for practical use. A satisfactory approximation can be based on the chi-square distribution with the number of degrees of freedom determined by methods given in the paper. Many problems, such as the difference of means, can be more conservatively analyzed by use of these complex estimates of variance. Assumptions regarding homogeneity of variance can then be avoided.