Journal of the American Statistical Association · 1951 · 5.8K citations · 10 references
Social SciencesEducational MeasurementPsychometricsStatisticsHypothesis TestingStatistical AnalysisTest ReliabilityTest TheoryTest ValidityChi-square Goodness-of-fit TestChi-square TestCumulative Distribution FunctionsEmpirical DistributionGoodness-of-fitGoodness-of-fit TestingGoodness-of-fit TestsKolmogorov - Smirnov Test
Abstract The test is based on the maximum difference between an empirical and a hypothetical cumulative distribution. Percentage points are tabled, and a lower bound to the power function is charted. Confidence limits for a cumulative distribution are described. Examples are given. Indications that the test is superior to the chi-square test are cited.
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N. Metropolis, Stanislaw M. Ulam · Journal of the American Statistical Association · 1949 · 6.1K citations
Heuristic Approach to the Kolmogorov-Smirnov Theorems
J. L. Doob · The Annals of Mathematical Statistics · 1949 · 519 citations · Full text