The One‐Sample Location Problem
Myles Hollander, Douglas A. Wolfe, Eric Chicken · Wiley series in probability and statistics · 2015
The procedures of this chapter are designed for statistical analyses in which primary interest is centered on the location (median) of a population. The chapter presents two types of data for which such analyses are important: paired replicates data and one-sample data. The chapter first presents procedures for analyzing paired replicates data using signed ranks, particularly focusing on a distribution-free signed rank test, a point estimator associated with the signed rank statistic, and a related distribution-free confidence interval. These procedures are applied to some one-sample data. An asymptotically distribution-free test for symmetry of the underlying population is also considered. A distribution-free test for exchangeability of the paired replicates data is discussed later in the chapter. The chapter also presents procedures for analyzing paired replicates data using signs.