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Modified kolmogorov-smirnov tests of goodness of fit
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Modified kolmogorov-smirnov tests of goodness of fit

Author: H Leon Harter; Harry J Khamis; Richard E Lamb
Publisher: Taylor & Francis
Edition/Format: Article Article : EN
Publication:Communications in Statistics - Simulation and Computation, 13, no. 3 (1984): 293-323
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Document Type: Article
All Authors / Contributors: H Leon Harter; Harry J Khamis; Richard E Lamb
ISSN:0361-0918
Language Note: EN
Unique Identifier: 432547013
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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/432547013<\/a>> # Modified kolmogorov-smirnov tests of goodness of fit<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a>, schema:Article<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"432547013<\/span>\" ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Thing\/test_statis_tics<\/a>> ; # test statis-tics<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Thing\/critical_values<\/a>> ; # critical values<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Thing\/monte_carlo_study<\/a>> ; # Monte Carlo study<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Thing\/power_of_tests<\/a>> ; # power of tests<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Thing\/one_sided_and_two_sided_tests<\/a>> ; # one-sided and two-sided tests<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Person\/khamis_harry_j<\/a>> ; # Harry J. Khamis<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Person\/lamb_richard_e<\/a>> ; # Richard E. Lamb<\/span>\n\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Person\/harter_h_leon<\/a>> ; # H. Leon Harter<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1984-01-01<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"The Kolmogorov-Smirnov (K-S) one-sided and two-sided tests of goodness of fit based on the test statistics D+n D-n and Dn are equivalent to tests based on taking the cumulative probability of the i-th order statistic of a sample of size n to be (i-.5)\/n. Modified test statistics C+n, C-n and Cn are obtained by taking the cumulative probability to be i\/(n+l). More generally, the cumula-tive probability may be taken to be (i-δ)\/(n+l-2δ), as suggested by Blom (1958), where 0 less than or equal δ less than or equal .5. Critical values of the test statis-tics can be found by interpolating inversely in tables of the proba-bility integrals obtained by setting a=l\/(n+l-2δ) in an expression given by Pyke (1959). Critical values for the D\'s (corresponding to δ=.5) have been tabulated to 5DP by Miller (1956) for n=1(1)100. The authors have made analogous tabulations for the C\'s (corresponding to δ=0) [previously tabulated by Durbin (1969) for n=1(1)60(2)100] and for the test statistics E+n, E-n and En corresponding to δ f.3. They have also made a Monte Carlo comparison of the power of the modified tests with that of the K-S test for several hypothetical distributions. In a number of cases, the power of the modified tests is greater than that of the K-S test, especially when the standard deviation is greater under the alternative than under the null hypo-thesis.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/319377495<\/a>> ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/worldcat.org\/issn\/0361-0918#13_3<\/a>> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Modified kolmogorov-smirnov tests of goodness of fit<\/span>\" ;\u00A0\u00A0\u00A0\nschema:pageStart<\/a> \"293<\/span>\" ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"432547013<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/#PublicationEvent\/taylor_&_francis<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Agent\/taylor_&_francis<\/a>> ; # Taylor & Francis<\/span>\n\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/432547013<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/319377495#Person\/harter_h_leon<\/a>> # H. Leon Harter<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"H. Leon Harter<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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