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Shu-Hui Lin

National Taichung University of Science and Technology



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616 – Statistical Distribution Fitting

Comparing the Equality of K Mean Vectors on Several Multivariate Log-Normal Distributions

Sponsor: IMS
Keywords: generalized p-value, generalized variable method, K mean vectors, Multivariate log-normal distribution, Pairwise mean vector difference

Shu-Hui Lin

National Taichung University of Science and Technology

In this study, we extend our research experience on studying mean vector of one and two multivariate log-normal populations to further consider the mean vectors of several independent multivariate log-normal populations. The log-normal distribution is one of good candidates to describe positive and skewed data. If the data contain many characteristic values, the multivariate log-normal distribution is a good choice to fit such data. In this stdudy, we will derive the testing procedure to test the equality of K-mean vectors based on the generalized variable method (GVM). The proposed method will be compared with the classical F-test and the classical chi-square test which are available in the literature under under different groups, dimensions and parameters configuration.

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