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Exact Comparision of Hazard Rate Functions of Log-Logistic Survival Distributions


Metadata FieldValueLanguage
dc.contributor.advisorAbebe, Asheber
dc.contributor.advisorBillor, Nedreten_US
dc.contributor.advisorShin, Hyejinen_US
dc.contributor.authorDixit, Ashaen_US
dc.date.accessioned2009-02-23T15:56:48Z
dc.date.available2009-02-23T15:56:48Z
dc.date.issued2008-08-15en_US
dc.identifier.urihttp://hdl.handle.net/10415/1568
dc.description.abstractA comparison of hazard rates of multiple treatments are compared under the assumption that survival times follow the log-logistic distribution. Exact test procedures are developed for ordered comparisons of the worst case hazard rates of several log-logistic survival functions. In particular, critical constants are computed for testing the null hypothesis that all dose levels give the same maximum hazard rates versus the alternative that the maximum hazard rates are decreasing with increasing dose level. In addition, critical constants are given for comparing equal maximum hazard rates against the alternative of valley ordered hazard rates. A procedure for building simultaneous confidence intervals for certain contrasts is provided. The procedure proposed in this thesis is then compared to two nonparametric simultaneous inference procedures compare it to two nonparametric procedures: the Jonckheere-Terpstra test and the Mack-Wolfe test.en_US
dc.language.isoen_USen_US
dc.rightsEMBARGO_NOT_AUBURNen_US
dc.subjectMathematics and Statisticsen_US
dc.titleExact Comparision of Hazard Rate Functions of Log-Logistic Survival Distributionsen_US
dc.typeThesisen_US
dc.embargo.lengthMONTHS_WITHHELD:6en_US
dc.embargo.statusEMBARGOEDen_US
dc.embargo.enddate2009-08-23en_US

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