Details

Autor(en) / Beteiligte

• Kolassa, John E.

Titel

An Introduction to Nonparametric Statistics

Auflage

1st edition

Ort / Verlag

Milton: CRC Press

Erscheinungsjahr

2021

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This textbook presents techniques for statistical analysis in the absence of strong assumptions about the distributions generating the data. Rank-based and resampling techniques are heavily represented, but robust techniques are considered as well. These techniques include one-sample testing and estimation, multi-sample testing and estimation, and regression. Attention is payed to the intellectual development of the field, with a thorough review of bibliographical references. Computational tools, in R and SAS, are developed and illustrated via examples. Exercises designed to reinforce examples are included. Important techniques covered include Rank-based techniques, including sign, Kruskal-Wallis, Friedman, Mann-Whitney and Wilcoxon tests, are presented. Tests are inverted to produce estimates and confidence intervals. Multivariate tests are explored. Techniques reflecting the dependence of a response variable on explanatory variables are presented. Density estimation is explored. The bootstrap and jackknife are discussed. This text is intended for a graduate student in applied statistics. The course is best taken after an introductory course in statistical methodology, a course in elementary probability, and a course in regression. Mathematical prerequisites include calculus through multivariate differentiation and integration, and, ideally, a course in matrix algebra.