Physical Sciences and Mathematics Commons^™

Hotelling’S T2 Approximation For Bivariate Mixed (Dichotomous & Continuous) Data, Imad Khamis, Pradeep Singh, James Higgins

Conference on Applied Statistics in Agriculture

The comparison of the means of two treatments or populations when more than one variable is measured may be done using Hotelling’s T² 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 The assumption of multivariate normality upon which Hotelling’s T² is based is no longer valid. In this paper, an approximate Hotelling T² 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 …