Extended Sign Test by Ranks for Ordered Repeated Measure

Abstract

This paper developed an alternative statistical method for the analysis of time or space ordered data. The proposed method used the ranks of successive differences between the observations adjust for the order, direction and magnitudes of the successive differences. Chi-squared test statistic based on the ranks of the successively ordered data is developed to test for the possible existence of any statistical differences between the scores by subjects in the time or space ordered population. Some sample data were used to illustrate the proposed method. The result of the analysis shows that the present method is as powerful as some of the existing non-parametric methods that can be used for the same purpose at least for the present data but preferably for use if the available data set is ordered in time or space.

Keywords: Sign test, ordered samples, ranks, time, and space.