Practical Nonparametric Statistics

by Conover, W. J.

• ISBN13: 9780471160687
• ISBN10: 0471160687
• Edition: 3rd
• Format: Paperback
• Copyright: 1999-01-07
• Publisher: Wiley

Summary

This highly-regarded text serves as a quick reference book which offers clear, concise instructions on how and when to use the most popular nonparametric procedures. This edition features some procedures that have withstood the test of time and are now used by many practitioners, such as the Fisher Exact Test for two-by-two contingency tables, the Mantel-Haenszel Test for combining several contingency tables, the Kaplan-Meier estimates of the survival curve, the Jonckheere-Terpstra Test and the Page Test for ordered alternatives, and a discussion of the bootstrap method.

Table of Contents

Introduction	1	(4)
CHAPTER 1 PROBABILITY THEORY	5	(63)
Preliminary Remarks	5	(1)
1.1 Counting	5	(8)
1.2 Probability	13	(9)
1.3 Random Variables	22	(11)
1.4 Some Properties of Random Variables	33	(19)
1.5 Continuous Random Variables	52	(12)
1.6 Review Problems for Chapter 1	64	(4)
CHAPTER 2 STATISTICAL INFERENCE	68	(55)
Preliminary Remarks	68	(1)
2.1 Populations, Samples, and Statistics	68	(11)
2.2 Estimation	79	(16)
2.3 Hypothesis Testing	95	(11)
2.4 Some Properties of Hypothesis Tests	106	(8)
2.5 Some Comments on Nonparametric Statistics	114	(5)
2.6 Review Problems for Chapter 2	119	(4)
CHAPTER 3 SOME TESTS BASED ON THE BINOMIAL DISTRIBUTION	123	(56)
Preliminary Remarks	123	(1)
3.1 The Binomial Test and Estimation of p	124	(11)
3.2 The Quantile Test and Estimation of x(p)	135	(15)
3.3 Tolerance Limits	150	(7)
3.4 The Sign Test	157	(9)
3.5 Some Variations of the Sign Test	166	(13)
CHAPTER 4 CONTINGENCY TABLES	179	(90)
Preliminary Remarks	179	(1)
4.1 The 2 X 2 Contingency Table	180	(19)
4.2 The Rho X c Contingency Table	199	(19)
4.3 The Median Test	218	(9)
4.4 Measures of Dependence	227	(12)
4.5 The Chi Squared Goodness-of-Fit Test	239	(11)
4.6 Cochran's Test for Related Observations	250	(8)
4.7 Some Comments on Alternative Methods of Analysis	258	(2)
4.8 Review Problems for Chapters 3 and 4	260	(9)
CHAPTER 5 SOME METHODS BASED ON RANKS	269	(159)
Preliminary Remarks	269	(2)
5.1 Two Independent Samples	271	(17)
5.2 Several Independent Samples	288	(12)
5.3 A Test for Equal Variances	300	(12)
5.4 Measures of Rank Correlation	312	(20)
5.5 Nonparametric Linear Regression Methods	332	(12)
5.6 Methods for Monotonic Regression	344	(6)
5.7 The One-Sample or Matched-Pairs Case	350	(17)
5.8 Several Related Samples	367	(20)
5.9 The Balanced Incomplete Block Design	387	(9)
5.10 Tests with A.R.E. of 1 or More	396	(11)
5.11 Fisher's Method of Randomization	407	(10)
5.12 Some Comments on the Rank Transformation	417	(3)
5.13 Review Problems for Chapter 5	420	(8)
CHAPTER 6 STATISTICS OF THE KOLMOGOROV-SMIRNOV TYPE	428	(46)
Preliminary Remarks	428	(1)
6.1 The Kolmogorov Goodness-of-Fit Test	428	(14)
6.2 Goodness-of-Fit Tests for Families of Distributions	442	(14)
6.3 Tests on Two Independent Samples	456	(11)
6.4 Review Problems for Chapters 1 through 6	467	(7)
REFERENCES	474	(31)
APPENDIX TABLES	505	(65)
ANSWERS TO ODD-NUMBERED EXERCISES	570	(3)
SERIES LIST	573	(5)
INDEX	578