Bootstrap methods for comparing independent regression slopes |
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Authors: | Ng Marie Wilcox Rand R |
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Affiliation: | Faculty of Education, The University of Hong Kong, Hong Kong. marieng@u.washington.edu |
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Abstract: | In this study, we explore the effects of non-normality and heteroscedasticity when testing the hypothesis that the regression lines associated with multiple independent groups have the same slopes. The conventional approach involving the F-test and the t-test (F/t approach) is examined. In addition, we introduce two robust methods which allow simultaneous testing of regression slopes. Our results suggest that the F/t approach is extremely sensitive to violations of assumptions and tends to yield misleading conclusions. The new robust alternatives are recommended for general use. |
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