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The comparison of the means of two treatments or populations when more than one variable is measured may be done using Hotelling’s T statistic. In many real world situations the data obtained are mixed, i.e. one variable is dichotomous and the other variable is continuous. The assumption of multivariate normality upon which Hotelling’s T is based is no longer valid. In this paper, an approximate Hotelling T test is proposed for bivariate mixed data and empirically evaluated in terms of Type I error rate. It is shown that the approximation does a good job of controlling the Type I error rate for a range of bivariate mixed parameters even for relatively small sample sizes.

HOTELLING’S T<sup>2</sup> APPROXIMATION FOR BIVARIATE MIXED (DICHOTOMOUS & CONTINUOUS) DATA