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Simul."],"published-print":{"date-parts":[[2015,11,16]]},"abstract":"<jats:p>The Kolmogorov-Smirnov (KS) statistical test is commonly used to determine if data can be regarded as a sample from a sequence of independent and identically distributed (i.i.d.) random variables with specified continuous cumulative distribution function (cdf) &lt;i&gt;F&lt;\/i&gt;, but with small samples it can have insufficient power, that is, its probability of rejecting natural alternatives can be too low. However, in 1961, Durbin showed that the power of the KS test often can be increased, for a given significance level, by a well-chosen transformation of the data. Simulation experiments reported here show that the power can often be more consistently and substantially increased by a different transformation. We first transform the given sequence to a sequence of mean-1 exponential random variables, which is equivalent to a rate-1 Poisson process. We then apply the classical conditional-uniform transformation to convert the arrival times into i.i.d. random variables uniformly distributed on [0, 1]. And then, after those two preliminary steps, we apply the original Durbin transformation. Since these KS tests assume a fully specified cdf, we also investigate the consequence of having to estimate parameters of the cdf.<\/jats:p>","DOI":"10.1145\/2699716","type":"journal-article","created":{"date-parts":[[2015,5,11]],"date-time":"2015-05-11T16:30:57Z","timestamp":1431361857000},"page":"1-22","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":16,"title":["The Power of Alternative Kolmogorov-Smirnov Tests Based on Transformations of the Data"],"prefix":"10.1145","volume":"25","author":[{"given":"Song-Hee","family":"Kim","sequence":"first","affiliation":[{"name":"Yale University, New Haven, CT"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ward","family":"Whitt","sequence":"additional","affiliation":[{"name":"Columbia University, New York, NY"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2015,5,8]]},"reference":[{"key":"e_1_2_2_1_1","volume-title":"Hospitals: A Data-based Queueing-Science Perspective","author":"Armony M.","year":"2011","unstructured":"M. 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