University of Leeds
Publishes on Statistics Education and Methodologies, Advanced Statistical Methods and Models, Statistical Distribution Estimation and Applications. 39 papers and 10.7k citations.
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Journal Article THE GENERALIZATION OF ‘STUDENT'S’ PROBLEM WHEN SEVERAL DIFFERENT POPULATION VARLANCES ARE INVOLVED Get access B. L. WELCH, B.A., PH.D. B. L. WELCH, B.A., PH.D. Search for other works by this author on: Oxford Academic Google Scholar Biometrika, Volume 34, Issue 1-2, January 1947, Pages 28–35, https://doi.org/10.1093/biomet/34.1-2.28 Published: 01 January 1947
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-