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Comparing The Statistical Tests For Homogeneity Of Variances., Zhiqiang Mu
Comparing The Statistical Tests For Homogeneity Of Variances., Zhiqiang Mu
Electronic Theses and Dissertations
Testing the homogeneity of variances is an important problem in many applications since statistical methods of frequent use, such as ANOVA, assume equal variances for two or more groups of data. However, testing the equality of variances is a difficult problem due to the fact that many of the tests are not robust against non-normality. It is known that the kurtosis of the distribution of the source data can affect the performance of the tests for variance. We review the classical tests and their latest, more robust modifications, some other tests that have recently appeared in the literature, and use …
Bayesian Reference Inference On The Ratio Of Poisson Rates., Changbin Guo
Bayesian Reference Inference On The Ratio Of Poisson Rates., Changbin Guo
Electronic Theses and Dissertations
Bayesian reference analysis is a method of determining the prior under the Bayesian paradigm. It incorporates as little information as possible from the experiment. Estimation of the ratio of two independent Poisson rates is a common practical problem. In this thesis, the method of reference analysis is applied to derive the posterior distribution of the ratio of two independent Poisson rates, and then to construct point and interval estimates based on the reference posterior. In addition, the Frequentist coverage property of HPD intervals is verified through simulation.