An Introduction to Nonparametric Statistics

Kolassa, John E.

  • 出版商: CRC
  • 出版日期: 2020-09-29
  • 售價: $4,120
  • 貴賓價: 9.5$3,914
  • 語言: 英文
  • 頁數: 212
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0367194848
  • ISBN-13: 9780367194840
  • 相關分類: 機率統計學 Probability-and-statistics

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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

  1. Rank-based techniques, including sign, Kruskal-Wallis, Friedman, Mann-Whitney and Wilcoxon tests, are presented.
  2. Tests are inverted to produce estimates and confidence intervals.
  3. Multivariate tests are explored.
  4. Techniques reflecting the dependence of a response variable on explanatory variables are presented.
  5. Density estimation is explored.
  6. 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.


John Kolassa is Professor of Statistics and Biostatistics, Rutgers, the State University of New Jersey.