The paper refers to an extension of Marozzi (2004) Tab test by including as a third aspect in the combination the rank aspect. Tc test is very useful for distributions that have an intermediate outlier production behavior with respect to that of the normal (for which Ta is a good test) and Cauchy (for which Tb is a good test) distributions. The nonparametric combination of Ta, Tb and Tc tests is effective because it agrees with the idea of considering something close to the best of the combined tests, and this by taking account nonparametrically of their mutual dependence.
A Tri-Aspect Distribution Free Test for the Multivariate Location Problem
MAROZZI, Marco
2007-01-01
Abstract
The paper refers to an extension of Marozzi (2004) Tab test by including as a third aspect in the combination the rank aspect. Tc test is very useful for distributions that have an intermediate outlier production behavior with respect to that of the normal (for which Ta is a good test) and Cauchy (for which Tb is a good test) distributions. The nonparametric combination of Ta, Tb and Tc tests is effective because it agrees with the idea of considering something close to the best of the combined tests, and this by taking account nonparametrically of their mutual dependence.
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