Applied nonparametric statistical methods:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, FL [u.a.]
Chapman & Hall/CRC
2007
|
| Edition: | 4. ed. |
| Series: | Texts in statistical science series
[71] |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 530 S. graph. Darst. |
| ISBN: | 9781584887010 158488701X |
Staff View
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Contents
Preface
ix
1
SOME BASIC CONCEPTS
1
1.1
Basic Statistics
1
1.2
Populations and Samples
8
1.3
Hypothesis Testing
10
1.4
Estimation
15
1.5
Ethical Issues
17
1.6
Exercises
20
2
FUNDAMENTALS OF NONPARAMETRIC METHODS
23
2.1
A Permutation Test
23
2.2
Binomial Tests
26
2.3
Order Statistics and Ranks
30
2.4
Exploring Data
33
2.5
Efficiency of Nonparametric Procedures
39
2.6
Computers and Nonparametric Methods
40
2.7
Further Reading
42
2.8
Exercises
42
3
LOCATION INFERENCE FOR SINGLE SAMPLES
45
3.1
Layout of Examples
45
3.2
Continuous Data Samples
45
3.3
Inferences about Medians Based on Ranks
46
3.4
The Sign Test
62
3.5
Use of Alternative Scores
66
3.6
Comparing Tests and Robustness
71
3.7
Fields of Application
76
3.8
Summary
79
3.9
Exercises
79
4
OTHER SINGLE-SAMPLE INFERENCES
83
4.1
Other Data Characteristics
83
4.2
Matching Samples to Distributions
83
4.3
Inferences for Dichotomous Data
95
4.4
Tests Related to the Sign Test
106
4.5
A Runs Test for Randomness
4.6
Angular Data
4.7
Fields of Application
4.8
Summary
4.9
Exercises
METHODS FOR PAIRED SAMPLES
5.1
Comparisons in Pairs
5.2
A Less Obvious Use of the Sign Test
5.3
Power and Sample Size
5.4
Fields of Application
5.5
Summary
5.6
Exercises
vi
CONTENTS
109
113
118
121
122
125
125
133
135
143
145
145
6
METHODS FOR TWO INDEPENDENT SAMPLES
151
6.1
Centrality Tests and Estimates
151
6.2
The Median Test
161
6.3
Normal Scores
169
6.4
Tests for Equality of Variance
170
6.5
Tests for a Common Distribution
179
6.6
Power and Sample Size
184
6.7
Fields of Application
189
6.8
Summary
190
6.9
Exercises
191
7
BASIC TESTS FOR THREE OR MORE SAMPLES
195
7.1
Comparisons with Parametric Methods
195
7.2
Centrality Tests for Independent Samples
196
7.3
The Friedman, Quade, and Page Tests
208
7.4
Binary Responses
215
7.5
Tests for Heterogeneity of Variance
215
7.6
Some Miscellaneous Considerations
217
7.7
Fields of Application
220
7.8
Summary
221
7.9
Exercises
222
8
ANALYSIS OF STRUCTURED DATA
227
8.1
Factorial Treatment Structures
227
8.2
Balanced
2x2
Factorial Structures
229
8.3
The Nature of Interactions
234
8.4
Alternative Approaches to Interactions
237
8.5
Crossover Experiments
248
8.6
Specific and Multiple Comparison Tests
250
8.7
Fields of Application
254
8.8
Summary
256
CONTENTS
vii
8.9
Exercises
257
9
ANALYSIS OF SURVIVAL DATA
261
9.1
Special Features of Survival Data
261
9.2
Modified Wilcoxon Tests
264
9.3
Savage Scores and the Logrank Transformation
269
9.4
Median Tests for Sequential data
277
9.5
Choice of Tests
278
9.6
Fields of Application
278
9.7
Summary
279
9.8
Exercises
280
10
CORRELATION AND CONCORDANCE
283
10.1
Correlation in Bivariate Data
283
10.2
Ranked Data for Several Variables
303
10.3
Agreement
306
10.4
Fields of Application
314
10.5
Summary
316
10.6
Exercises
316
11
BIVARIATE LINEAR REGRESSION
321
11.1
Fitting Straight Lines
321
11.2
Fields of Application
343
11.3
Summary
344
11.4
Exercises
344
12
CATEGORICAL DATA
347
12.1
Categories and Counts
347
12.2
Nominal Attribute Categories
357
12.3
Ordered Categorical Data
363
12.4
Goodness-of-Fit Tests for Discrete Data
374
12.5
Extension of McNemar's Test
378
12.6
Fields of application
380
12.7
Summary
382
12.8
Exercises
382
13
ASSOCIATION IN CATEGORICAL DATA
389
13.1
The Analysis of Association
389
13.2
Some Models for Contingency Tables
390
13.3
Combining and Partitioning of Tables
420
13.4
A Legal Dilemma
427
13.5
Power
429
13.6
Fields of Application
430
13.7
Summary
431
13.8
Exercises
432
viii CONTENTS
14
ROBUST
ESTIMATION
437
14.1
When Assumptions Break Down
437
14.2
Outliers and Influence
439
14.3
The Bootstrap
444
14.4
M-Estimators and Other Robust Estimators
461
14.5
Fields of Application
465
14.6
Summary
466
14.7
Exercises
467
15
MODERN NONPARAMETRICS
469
15.1
A Change in Emphasis
469
15.2
Density Estimation
470
15.3
Regression
474
15.4
Logistic Regression
482
15.5
Multivariate Data
487
15.6
New Methods for Large Data Sets
493
15.7
Correlations within Clusters
496
15.8
Summary
498
15.9
Exercises
499
Appendix
1 503
Appendix
2 505
References
511
Index
526 |
| adam_txt |
Contents
Preface
ix
1
SOME BASIC CONCEPTS
1
1.1
Basic Statistics
1
1.2
Populations and Samples
8
1.3
Hypothesis Testing
10
1.4
Estimation
15
1.5
Ethical Issues
17
1.6
Exercises
20
2
FUNDAMENTALS OF NONPARAMETRIC METHODS
23
2.1
A Permutation Test
23
2.2
Binomial Tests
26
2.3
Order Statistics and Ranks
30
2.4
Exploring Data
33
2.5
Efficiency of Nonparametric Procedures
39
2.6
Computers and Nonparametric Methods
40
2.7
Further Reading
42
2.8
Exercises
42
3
LOCATION INFERENCE FOR SINGLE SAMPLES
45
3.1
Layout of Examples
45
3.2
Continuous Data Samples
45
3.3
Inferences about Medians Based on Ranks
46
3.4
The Sign Test
62
3.5
Use of Alternative Scores
66
3.6
Comparing Tests and Robustness
71
3.7
Fields of Application
76
3.8
Summary
79
3.9
Exercises
79
4
OTHER SINGLE-SAMPLE INFERENCES
83
4.1
Other Data Characteristics
83
4.2
Matching Samples to Distributions
83
4.3
Inferences for Dichotomous Data
95
4.4
Tests Related to the Sign Test
106
4.5
A Runs Test for Randomness
4.6
Angular Data
4.7
Fields of Application
4.8
Summary
4.9
Exercises
METHODS FOR PAIRED SAMPLES
5.1
Comparisons in Pairs
5.2
A Less Obvious Use of the Sign Test
5.3
Power and Sample Size
5.4
Fields of Application
5.5
Summary
5.6
Exercises
vi
CONTENTS
109
113
118
121
122
125
125
133
135
143
145
145
6
METHODS FOR TWO INDEPENDENT SAMPLES
151
6.1
Centrality Tests and Estimates
151
6.2
The Median Test
161
6.3
Normal Scores
169
6.4
Tests for Equality of Variance
170
6.5
Tests for a Common Distribution
179
6.6
Power and Sample Size
184
6.7
Fields of Application
189
6.8
Summary
190
6.9
Exercises
191
7
BASIC TESTS FOR THREE OR MORE SAMPLES
195
7.1
Comparisons with Parametric Methods
195
7.2
Centrality Tests for Independent Samples
196
7.3
The Friedman, Quade, and Page Tests
208
7.4
Binary Responses
215
7.5
Tests for Heterogeneity of Variance
215
7.6
Some Miscellaneous Considerations
217
7.7
Fields of Application
220
7.8
Summary
221
7.9
Exercises
222
8
ANALYSIS OF STRUCTURED DATA
227
8.1
Factorial Treatment Structures
227
8.2
Balanced
2x2
Factorial Structures
229
8.3
The Nature of Interactions
234
8.4
Alternative Approaches to Interactions
237
8.5
Crossover Experiments
248
8.6
Specific and Multiple Comparison Tests
250
8.7
Fields of Application
254
8.8
Summary
256
CONTENTS
vii
8.9
Exercises
257
9
ANALYSIS OF SURVIVAL DATA
261
9.1
Special Features of Survival Data
261
9.2
Modified Wilcoxon Tests
264
9.3
Savage Scores and the Logrank Transformation
269
9.4
Median Tests for Sequential data
277
9.5
Choice of Tests
278
9.6
Fields of Application
278
9.7
Summary
279
9.8
Exercises
280
10
CORRELATION AND CONCORDANCE
283
10.1
Correlation in Bivariate Data
283
10.2
Ranked Data for Several Variables
303
10.3
Agreement
306
10.4
Fields of Application
314
10.5
Summary
316
10.6
Exercises
316
11
BIVARIATE LINEAR REGRESSION
321
11.1
Fitting Straight Lines
321
11.2
Fields of Application
343
11.3
Summary
344
11.4
Exercises
344
12
CATEGORICAL DATA
347
12.1
Categories and Counts
347
12.2
Nominal Attribute Categories
357
12.3
Ordered Categorical Data
363
12.4
Goodness-of-Fit Tests for Discrete Data
374
12.5
Extension of McNemar's Test
378
12.6
Fields of application
380
12.7
Summary
382
12.8
Exercises
382
13
ASSOCIATION IN CATEGORICAL DATA
389
13.1
The Analysis of Association
389
13.2
Some Models for Contingency Tables
390
13.3
Combining and Partitioning of Tables
420
13.4
A Legal Dilemma
427
13.5
Power
429
13.6
Fields of Application
430
13.7
Summary
431
13.8
Exercises
432
viii CONTENTS
14
ROBUST
ESTIMATION
437
14.1
When Assumptions Break Down
437
14.2
Outliers and Influence
439
14.3
The Bootstrap
444
14.4
M-Estimators and Other Robust Estimators
461
14.5
Fields of Application
465
14.6
Summary
466
14.7
Exercises
467
15
MODERN NONPARAMETRICS
469
15.1
A Change in Emphasis
469
15.2
Density Estimation
470
15.3
Regression
474
15.4
Logistic Regression
482
15.5
Multivariate Data
487
15.6
New Methods for Large Data Sets
493
15.7
Correlations within Clusters
496
15.8
Summary
498
15.9
Exercises
499
Appendix
1 503
Appendix
2 505
References
511
Index
526 |
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| series | Texts in statistical science series |
| series2 | Texts in statistical science series |
| spelling | Sprent, Peter 1923-2016 Verfasser (DE-588)1069681253 aut Applied nonparametric statistical methods Peter Sprent and Nigel C. Smeeton 4. ed. Boca Raton, FL [u.a.] Chapman & Hall/CRC 2007 X, 530 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts in statistical science series [71] Parametrik olmayan istatistikler Statistique non paramétrique Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Nichtparametrische Statistik (DE-588)4226777-8 s DE-604 Smeeton, Nigel C. Verfasser aut Texts in statistical science series [71] (DE-604)BV022819715 71 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016274749&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sprent, Peter 1923-2016 Smeeton, Nigel C. Applied nonparametric statistical methods Texts in statistical science series Parametrik olmayan istatistikler Statistique non paramétrique Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd |
| subject_GND | (DE-588)4226777-8 (DE-588)4143389-0 |
| title | Applied nonparametric statistical methods |
| title_auth | Applied nonparametric statistical methods |
| title_exact_search | Applied nonparametric statistical methods |
| title_exact_search_txtP | Applied nonparametric statistical methods |
| title_full | Applied nonparametric statistical methods Peter Sprent and Nigel C. Smeeton |
| title_fullStr | Applied nonparametric statistical methods Peter Sprent and Nigel C. Smeeton |
| title_full_unstemmed | Applied nonparametric statistical methods Peter Sprent and Nigel C. Smeeton |
| title_short | Applied nonparametric statistical methods |
| title_sort | applied nonparametric statistical methods |
| topic | Parametrik olmayan istatistikler Statistique non paramétrique Nonparametric statistics Nichtparametrische Statistik (DE-588)4226777-8 gnd |
| topic_facet | Parametrik olmayan istatistikler Statistique non paramétrique Nonparametric statistics Nichtparametrische Statistik Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016274749&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV022819715 |
| work_keys_str_mv | AT sprentpeter appliednonparametricstatisticalmethods AT smeetonnigelc appliednonparametricstatisticalmethods |