ABSTRACT

The uniform distribution (2.18) is central to the study of rank data, whether testing for uniformity or assessing the lack thereof. For example, in Chapter 2 the coefficients t of (2.21) and (2.44) are defined relative to the uniform: Uniform => t = 0. This chapter presents a variety of methods for testing the null hypothesis that the distribution on Sm is uniform:

based on the sample y(l>, ... ,Y(n) as in (2.17). These are onesample tests. Two-or many-sample tests, which determine whether several samples have the same (not necessarily uniform) distribution, appear in Chapter 4.