References
M. S. Bartlett, “Properties of Sufficiency and Statistical Tests”Proc. Roy. Soc, A., 160 (1937), pp. 268–282.
C. Eisenhart and H. Solomon, “Significance of the Largest of a Set of Sample Estimates of Variance.”Selected Techniques of Statistical Analysis, Chp. 14. (1947) pp, 383–394.
W. G. Cochran, “The Distribution of the Largest of a Set of Estimated Variances as a Fraction of Their Total”,Ann. Eugen., Vol 11, (1941), pp. 47–52.
D. R. Truax, “An Optimum Slippage Test for Variances ofk Normal Populations”Ann. Math. Stat., Vol. 24, (1953), pp. 669–674.
K. Pearson (Editor),Tables of the Incomplete Beta -Function, the “Biometrika” Office, London, (1948).
E. Paulson. “An Approximate Normalization of the Analysis of Variance Distribution.”Ann. Math. Stat., Vol. 13, (1942) pp. 233–235.
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Siotani, M. The significance of the discordant variance estimates. Ann Inst Stat Math 7, 39–55 (1955). https://doi.org/10.1007/BF02951444
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DOI: https://doi.org/10.1007/BF02951444