Practical Nonparametric Statistics

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ISBN: 9780471160687 | 0471160687
Cover: Paperback
Copyright: 1/7/1999

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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.

Introduction

(4)

CHAPTER 1 PROBABILITY THEORY

(63)

Preliminary Remarks

(1)

1.1 Counting

(8)

1.2 Probability

(9)

1.3 Random Variables

(11)

1.4 Some Properties of Random Variables

(19)

1.5 Continuous Random Variables

(12)

1.6 Review Problems for Chapter 1

(4)

CHAPTER 2 STATISTICAL INFERENCE

(55)

Preliminary Remarks

(1)

2.1 Populations, Samples, and Statistics

(11)

2.2 Estimation

(16)

2.3 Hypothesis Testing

(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

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Practical Nonparametric Statistics

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