A Nonparametric Method for Testing H0 : µ2 = (α∕β)µ1 + ∂

This paper proposes and presents a non-parametric statistical method for the analysis of non-homogeneous two sample data, in which the sampled populations may be measurements on as low as the ordinal scale. The test statistic intrinsically and structurally provides the possible presence of tied observations between the sampled populations, thereby obviating the need to require these populations to be continuous or even numeric. The proposed method can easily be modified for use with data that are not necessarily non-homogeneous. The method is illustrated with some data and shown to compare favorably with some existing methods.