Abstract
One of the most commonly recurring statistical problems is to determine, on the basis of statistical evidence, which of two samples, drawn from different universes, came from the universe with the larger mean value of a particular variate. Let M y be the mean value which would be obtained with universe (Y) and M x be the mean value which would be obtained with universe (X). Then a test may be constructed [1] for the hypothesis M y ≥ M X.
[Annals of Mathematical Statistics 14 No. 2, 149–154 (1943)].
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References
J. Neyman and E. S. Pearson, ‘On the problem of the Most Efficient Tests of Statistical Hypotheses’, Phil. Trans. Roy. Soc., Series A, 702, 231, 289–337 (1933).
J. Neyman and E. S. Pearson, ‘The Testing of Statistical Hypotheses in Relation to Probabilities A Priori’, Proc. Camb. Phil. Soc., 29, 492–510 (1933).
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© 1977 D. Reidel Publishing Company, Dordrecht, Holland
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Simon, H.A. (1977). Symmetric Tests of the Hypothesis that the Mean of One Normal Population Exceeds That of Another. In: Models of Discovery. Boston Studies in the Philosophy of Science, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9521-1_1
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DOI: https://doi.org/10.1007/978-94-010-9521-1_1
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