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Biometrika 1979 66(3):591-595; doi:10.1093/biomet/66.3.591
© 1979 by Biometrika Trust
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Tests of fit for the logistic distribution based on the empirical distribution function

M. A. STEPHENS

Department of Mathematics, Simon Fraser University Burnaby, British Columbia

Goodness-of-fit tests are given for the logistic distribution, based on statistics calculated from the empirical distribution function. Emphasis is on the statistics W2, U2 and A2, for which asyinptotio percentage points are given, for each of the three cases where one or both of the parameters of the distribution must be estimated from the data. Slight modifications of the calculated statistics are given to enable the points to be used with small samples. Monte Carlo results are included also for statistics D+, D–, D and V.

Key Words: Cramér-von Mises statistic • Empirical distribution function • Goodness-of-fit • Kolmogorov-Smirnov statistic • Logistic distribution


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