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January 1, 1951Biometrika1,499 citations

On the Comparison of Several Mean Values: An Alternative Approach

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BWB. L. Welch

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Abstract

Let yt (t = 1, 2,..., k) be statistical quantities normally and independently distributed with means fit and variances A,erf, respectively, where the A, are known constants but nothing is known about /it and cr\\. Suppose that the data provide estimates sf of the T \\ which are distributed, respectively, as;tfcrf// ( where/ ( is the number of degrees of freedom of x2-

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Cite This Study

B. L. Welch (1951) studied this question.

synapsesocial.com/papers/69d9557226e251a019684405https://doi.org/10.1093/biomet/38.3-4.330
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