APL Workspace for Conducting Nonparametric Statistical Inference

摘要

This thesis contains programs written in APL and documentation for performing certain nonparametric tests and computing nonparametric confidence intervals. These methods of inference are particularly useful in dealing with Department of Defense related problems as illustrated in the several military examples worked in Appendix C. The following nonparametric tests are considered: Sign Test, Wilcoxon Signed-rank Test, Mann-Whitney Test, Kruskal-Wallis test, Kendall's B, Spearman's R and Nonparametric Linear Regression. The tests are based on the exact distributions of the respective test statistics unless a large sample approximation is determined to provide at least a three decimal place accuracy. The software consists of two APL workspaces; one, which is designed for microcomputers (IBM PC's or compatibles) and is menu-driven, and the other, without menus, is designed for the mainframe computer (IBM 3033) at the Naval Postgraduate School.