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A Survey of Certain K-Sample Test Procedures with Applications to LPR-5 Data

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A Survey of Certain K-Sample Test Procedures with Applications to LPR-5 Data

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dc.contributor.author Dyer, Danny D. en
dc.date.accessioned 2010-06-01T18:54:05Z en
dc.date.available 2010-06-01T18:54:05Z en
dc.date.issued 1979-07 en
dc.identifier.uri http://hdl.handle.net/10106/2209 en
dc.description.abstract When dealing with k independent samples, it is frequently of interest to jointly assess the underlying population distributions. Usually such an assessment is carried out by performing k independent tests; that is, we test the null hypothesis [see pdf for notation] that the population from which the [see pdf for notaion] sample was drawn has some specified distribution. Combining the results of such independent tests may then be carried out by Fisher's method (1950, pp. 99-101). Specifically, let Ti be the test statistic associated with the [see pdf for notaion] sample. Suppose large values of Ti are considered critical for testing H. The attained significance level (ASL) or P-value is denoted by Pi; that is, if a is the observed value of the test statistic Ti , then Prob[see pdf for notaion]. Furthermore, [see pdf for notaion] has a x2 distribution with 2k degrees of freedom when H01 ,...,HOk are true. If a null hypothesis is not true, then the corresponding Pi will tend to be small resulting in a larger S. Hence the right-tail of the distribution of S is the critical Littell and Folks (1973) have shown that Fisher's method in asymptotically optimal among essentially all methods of combining independent tests. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;109 en
dc.subject Independent tests en
dc.subject k independent en
dc.subject Fisher's method en
dc.subject.lcsh Statistics en
dc.subject.lcsh Mathematics Research en
dc.title A Survey of Certain K-Sample Test Procedures with Applications to LPR-5 Data en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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