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EDF Statistics for Goodness of Fit and Some Comparisons
M. A. Stephens
Journal of the American Statistical Association
Vol. 69, No. 347 (Sep., 1974), pp. 730-737
Stable URL: http://www.jstor.org/stable/2286009
Page Count: 8
You can always find the topics here!Topics: Statistics, Statistical variance, Statistical estimation, Gaussian distributions, Population size, Goodness of fit, Uniformity, Coefficients, Power lines, Confidence interval
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This article offers a practical guide to goodness-of-fit tests using statistics based on the empirical distribution function (EDF). Five of the leading statistics are examined--those often labelled D, W2, V, U2, A2--and three important situations: where the hypothesized distribution F(x) is completely specified and where F(x) represents the normal or exponential distribution with one or more parameters to be estimated from the data. EDF statistics are easily calculated, and the tests require only one line of significance points for each situation. They are also shown to be competitive in terms of power.
Journal of the American Statistical Association © 1974 American Statistical Association