Abstract
The distribution of a linear combination of two statistics distributed as is Chi-square is studied. The degree of approximation involved in assuming a Chi-square distribution is illustrated for several representative cases. It is concluded that the approximation is sufficiently accurate to use in many practical applications. Illustrations are given of its use in extending the Chi-square, the Student “t” and the Fisher “z” tests to a wider range of problems.
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Satterthwaite, F.E. Synthesis of variance. Psychometrika 6, 309–316 (1941). https://doi.org/10.1007/BF02288586
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DOI: https://doi.org/10.1007/BF02288586