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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 …
Application Of The Empirical Likelihood Method In Proportional Hazards Model, Bin He
Application Of The Empirical Likelihood Method In Proportional Hazards Model, Bin He
Electronic Theses and Dissertations
In survival analysis, proportional hazards model is the most commonly used and the Cox model is the most popular. These models are developed to facilitate statistical analysis frequently encountered in medical research or reliability studies. In analyzing real data sets, checking the validity of the model assumptions is a key component. However, the presence of complicated types of censoring such as double censoring and partly interval-censoring in survival data makes model assessment difficult, and the existing tests for goodness-of-fit do not have direct extension to these complicated types of censored data. In this work, we use empirical likelihood (Owen, 1988) …