Pallmann, Philip and Hothorn, Ludwig A. and Djira, Gemechis D. (2014) A Levene-type test of homogeneity of several variances against ordered alternatives. Computational Statistics, 29 (6). pp. 1593-1608. ISSN 0943-4062
Full text not available from this repository.Abstract
Investigations focusing on differences in scale parameters across multiple samples appear in various scientific fields, e.g., when assessing measurement precision. In such cases a natural order of groups often suggests itself, which can be exploited by tests involving ordered alternatives. We propose multiple contrast tests with order-restriction based on robust Levene residuals as a powerful approach to detect scale differences between several groups. The proposed method is applied to a real data set and also extensive simulation is conducted to assess power and robustness against non-normality.