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This paper considers the Kolmogorov-Smirnov two-sided goodness-of-fit statistic when applied to discrete or grouped data, The exact distribution of the statistic is tabulated for a given case and approximations discussed. The power of the test is compared with the power of the x 2 test, and the test is shown to have greater power for particular trend alternatives.
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Pettitt et al. (1977) studied this question.
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