Robustness of normal test theory for correlation coeffi-cients is at least asymptotically ensured for bivariate dis-tributions satisfying a linearity and a homoscedasticity con-dition for the null theory and a further kurtosis condition for the nonnull theory. If any one of these conditions fail, it may be demonstrated that robustness may fail as well. This result is applied to study of the point biserial, multiserial correlation coefficients, and the cp-coefficient.
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Helena C. Kraemer (1980) studied this question.
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