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http://dx.doi.org/10.29220/CSAM.2018.25.4.329

Tests of equality of several variances with the likelihood ratio principle  

Park, Hyo-Il (Department of Statistics, Cheongju University)
Publication Information
Communications for Statistical Applications and Methods / v.25, no.4, 2018 , pp. 329-339 More about this Journal
Abstract
In this study, we propose tests for equality of several variances with the normality assumption. First of all, we propose the likelihood ratio test by applying the permutation principle. Then by using the p-values for the pairwise tests between variances and combination functions, we propose combination tests. We apply the permutation principle to obtain the overall p-values. Also we review the well- known test statistics for the completion of our discussion and modify a statistic with the p-values. Then we illustrate proposed tests by numerical and simulated data and compare their efficiency with the reviewed ones through a simulation study by obtaining empirical p-values. Finally, we discuss some interesting features related to the resampling methods and tests for equality among several variances.
Keywords
combination function; likelihood ratio test; normal distribution; permutation principle;
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Times Cited By KSCI : 1  (Citation Analysis)
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