The G-Method for Rank Determination in Rank Order Statistics for ‘C’ Samples

Abstract

This paper proposes a statistical method called 'the G method' to highlight its generalized nature for the determination and assignment of ranks to sample observations drawn from several populations for possible use in further analyses. The sampled populations may be measurements on as low as the ordinal scale and need not be continuous or even numeric. The proposed rank determination statistical model intrinsically and structurally provides for the breaking of possible ties between sample observations and automatically assigning such observations their mean ranks. This approach and hence the proposed model therefore obviate the need for the sampled populations to be continuous. They may be discrete or even non-numeric measurements on as low as the ordinal scale. The proposed method is of more generalized and wider applicability than an existing formulation which can be used with only continuous populations and is easier to use in practice than the usual traditional method which is often tedious and cumbersome, especially with large samples. The proposed method is illustrated with some data and shown to yield the same results as other existing methods where these methods are equally applicable.