Abstract
Some tools for testing hypotheses about the variance of random fuzzy sets are already available. Asymptotically correct procedures for the k-sample homoscedasticity tests have been recently developed. However, the power of such procedures has not been analyzed yet. In this paper, some studies about the power function of the asymptotic procedure for the homoscedasticity test are presented. The theoretical analysis is carried out by considering the capability of the test under local alternatives. Finally, the behavior of the power function is illustrated by means of simulation studies.
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Ramos-Guajardo, A.B., González-Rodríguez, G., Montenegro, M., López, M.T. (2010). Power Analysis of the Homoscedasticity Test for Random Fuzzy Sets. In: Borgelt, C., et al. Combining Soft Computing and Statistical Methods in Data Analysis. Advances in Intelligent and Soft Computing, vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14746-3_66
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DOI: https://doi.org/10.1007/978-3-642-14746-3_66
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