Nonparametric statistical tests: a computational approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. [u.a.]
CRC Press
2012
|
| Series: | A Chapman & Hall book
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Formerly CIP Uk. - Includes bibliographical references and index |
| Physical Description: | XVII, 229 S. graph. Darst. |
| ISBN: | 9781439867037 1439867038 |
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MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Foreword
ix
Preface
xi
List of Figures
xiii
List of Tables
xv
1
Introduction and Overview
1
2
Nonparametric Tests for the Location Problem
5
2.1
The Fisher-Pitman Permutation Test
............. 5
2.1.1
Example
.......................... 8
2.1.2
Implementation in
SAS
................. 11
2.1.3
Approximate Permutation Test
............. 12
2.2
The Wilcoxon Rank Sum Test
................. 14
2.2.1
Implementation in
SAS
................. 18
2.3
The Test of Baumgartner, Weiss, and
Schindler ....... 21
2.3.1
Implementation in
SAS
................. 25
2.4
Comparison of the Three Tests
................. 29
2.5
One-Sided Alternatives
..................... 33
2.6
Adaptive Tests and Maximum Tests
.............. 35
2.7
Ties
................................ 43
2.7.1
Example
.......................... 48
2.7.2
Pseudo-Precision
..................... 49
2.8
Further Tests
........................... 50
2.9
Sample Size Calculation
..................... 52
2.10
Concluding Remarks
...................... 53
3
Tests in the Case of Heteroscedasticity
55
3.1
Location-Scale Tests
....................,. . . 59
3.1.1
The Lepage Test
..................... 61
3.1.2
Example
.......................... 62
3.1.3
Implementation in
SAS
................. 63
3.1.4
Weighted and Modified Location-Scale Tests
..... 64
3.1.5
The Cucconi test
..................... 66
3.1.6
Implementation in
SAS
................. 68
VI
3.2
The Nonparametric
Behrens-Fisher Problem......... 68
3.2.1
A Permutation Test with the Brunner-Munzel Statistic
71
3.2.2
Example
.......................... 72
3.3
Bootstrap Tests
......................... 73
3.3.1
The
SAS
Procedure MULTTEST
............ 74
3.3.2
A Bootstrap Test for the Behrens-Fisher Problem
. . 77
3.3.3
The D.O Test, A Combination of Permutation Test and
Bootstrap
......................... 81
3.3.4
Which Test Can Be Recommended for the
Behrens-
Fisher Problem?
..................... 84
3.4
Tests for a Difference in Variability
.............. 87
3.4.1
Example and Implementation in
SAS
......... 91
3.5
Concluding Remarks
...................... 91
4
Tests for the General Alternative
93
4.1
The (Kolmogorov-)Smirnov Test
................ 93
4.1.1
Example and Implementation in
SAS
......... 94
4.2
Further Tests
........................... 96
5
Ordered Categorical and Discrete Numerical Data
99
•5.1
Tests for Comparing Multinomial Distributions
........ 99
5.2
The Exact
χ2
Test
........................ 101
5.2.1
Implementation in
SAS
................. 105
5.3
Comparison of the Tests
.................... 106
6
The Conservatism of Permutation Tests
109
6.1
Disadvantages of Bootstrap and Permutation Tests
..... 109
6.2
Approaches to Reduce the Conservatism
........... 110
7
Further Examples for the Comparison of Two Groups
115
7.1
A Difference in Location
.................... 115
7.2
A Clinical Trial
......................... 117
7.3
Heteroscedasticity
........................ 119
7.4
Discrete Numerical Data
.................... 120
7.5
Case-Control Data
........................ 121
8
One-Sample Tests and Tests for Paired Data
125
8.1
The Sign Test
.......................... 126
8.1.1
Implementation in
SAS
................. 128
8.2
The Wilcoxon Signed Rank Test
................ 130
8.2.1
Comparison between the Sign Test and the Wilcoxon
Signed Rank Test
..................... 132
8.3
A Permutation Test with Original Observations
....... 133
8.3.1
Implementation in
SAS
................. 133
8.4
One-Sample Bootstrap Tests
.................. 134
8.5
The McNemar Test
....................... 137
Vil
8.5.1 Implementation in
SAS
................. 138
9 Tests
for More than Two Groups
139
9.1
The Kruskal·-
Wallis
Test and the Permutation
F
Test
.... 139
9.1.1
Implementation in
SAS
................. 141
9.2
Trend Tests
............................ 143
9.2.1
Implementation in
SAS
................. 146
9.2.2
Comparison of the Jonckheere-Terpstra Test with
Other Tests
........................ 147
9.2.3
Tests for Umbrella Alternatives
............. 148
9.3
Tests for Multiple Dependent Groups
............. 150
9.3.1
Implementation in
SAS
................. 152
10
Independence and Correlation
155
10.1
The
χ2
Test
........................... 155
10.2
The Likelihood-Ratio Test
................... 157
10.3
Correlation Coefficients
..................... 158
10.3.1
Implementation in
SAS
................. 161
11
Stratified Studies and Combination of p-Values
165
11.1
The Van
Eiteren Test ...................... 165
11.1.1
Example
.......................... 166
11.2
Combination Tests
........................ 167
11.2.1
Example
.......................... 169
11.3
A Combination Test for Discrete Test Statistics
....... 170
12
Nonstandard
Situations and Complex Designs
175
12.1
A Contingency Table with Empty Cells
............ 176
12.2
Composite Test Statistics
.................... 178
12.2.1
Example
.......................... 179
13
Estimation and Confidence Intervals
181
13.1
One-Sample Situation
...................... 181
13.2
Two-Sample Situation
...................... 183
13.3
Bootstrap and Jackknife
.................... 185
Appendix
189
A.I Level of Measurement
...................... 189
A.2 Statistical Tests
......................... 190
A.3 Multiple Testing
......................... 191
A.4 Nonparametric Tests in
R
.................... 194
Bibliography
203
Index
227
Statistics
Nonparametric Statistical Tests: A Computational Approach describes
classical nonparametric tests, as well as novel and little-known methods such as
the Baumgartner-Weiss-Schindler and the Cucconi tests. The book presents
SAS
and
R
programs, allowing readers to carry out the different statistical methods,
such as permutation and bootstrap tests. The author considers example data sets
in each chapter to illustrate methods. Numerous real-life data from various areas,
including the Bible, and their analyses provide for greatly diversified reading.
The book covers:
►
Nonparametric two-sample tests for the location-shift model, specifically
the Fisher-Pitman permutation test, the Wilcoxon rank sum test, and the
Baumgartner-Weiss-Schindler test
•
Permutation tests, location-scale tests, tests for the nonparametric Behrens-
Fisher problem, and tests for a difference in variability
•
Tests for the general alternative, including the (Kolmogorov-) Smirnov test,
ordered categorical, and discrete numerical data
•
Well-known one-sample tests such as the sign test and Wilcoxon s signed
rank test, a modification suggested by Pratt
(1959),
a permutation test with
original observations, and a one-sample bootstrap test are presented.
■»
Tests for more than two groups, the following tests are described in detail:
the Kruskal-Wallis test, the permutation
F
test, the Jonckheere-Terpstra trend
test, tests for umbrella alternatives, and the Friedman and Page tests for
multiple dependent groups
•
The concepts of independence and correlation, and stratified tests such as
the van
Eiteren
test and combination tests
•
The applicability of computer-intensive methods such as bootstrap and
permutation tests for
nonstandard
situations and complex designs
Although the major development of nonparametric methods came to a certain
end in the
1970s,
their importance undoubtedly persists. What is still needed is a
computer-assisted evaluation of their main properties. This book closes that gap.
CRC Press
Taylor & Francis Group
an informa business
www.crcpress
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Broken Sound Parkway, N V
Suite
300,
Boca Raton, FL
33487
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Park
Abinaoon. Oxon OX14 4RN UK
K13G0b
ISBN:
170-1-4340^703-7
90000
9 781439 867037
|
| any_adam_object | 1 |
| author | Neuhäuser, Markus 1968- |
| author_GND | (DE-588)12274327X |
| author_facet | Neuhäuser, Markus 1968- |
| author_role | aut |
| author_sort | Neuhäuser, Markus 1968- |
| author_variant | m n mn |
| building | Verbundindex |
| bvnumber | BV039951654 |
| classification_rvk | SK 830 SK 850 |
| classification_tum | MAT 626f |
| ctrlnum | (OCoLC)781363792 (DE-599)HBZHT017159735 |
| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV039951654 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:14:50Z |
| institution | BVB |
| isbn | 9781439867037 1439867038 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024809566 |
| oclc_num | 781363792 |
| open_access_boolean | |
| owner | DE-703 DE-824 DE-91G DE-BY-TUM |
| owner_facet | DE-703 DE-824 DE-91G DE-BY-TUM |
| physical | XVII, 229 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | CRC Press |
| record_format | marc |
| series2 | A Chapman & Hall book |
| spelling | Neuhäuser, Markus 1968- Verfasser (DE-588)12274327X aut Nonparametric statistical tests a computational approach Markus Neuhäuser Boca Raton, Fla. [u.a.] CRC Press 2012 XVII, 229 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Chapman & Hall book Formerly CIP Uk. - Includes bibliographical references and index SAS Programm (DE-588)4195685-0 gnd rswk-swf R Programm (DE-588)4705956-4 gnd rswk-swf Nichtparametrischer Test (DE-588)4075372-4 gnd rswk-swf Computerunterstütztes Verfahren (DE-588)4139030-1 gnd rswk-swf Nichtparametrischer Test (DE-588)4075372-4 s Computerunterstütztes Verfahren (DE-588)4139030-1 s SAS Programm (DE-588)4195685-0 s R Programm (DE-588)4705956-4 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024809566&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024809566&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Neuhäuser, Markus 1968- Nonparametric statistical tests a computational approach SAS Programm (DE-588)4195685-0 gnd R Programm (DE-588)4705956-4 gnd Nichtparametrischer Test (DE-588)4075372-4 gnd Computerunterstütztes Verfahren (DE-588)4139030-1 gnd |
| subject_GND | (DE-588)4195685-0 (DE-588)4705956-4 (DE-588)4075372-4 (DE-588)4139030-1 |
| title | Nonparametric statistical tests a computational approach |
| title_auth | Nonparametric statistical tests a computational approach |
| title_exact_search | Nonparametric statistical tests a computational approach |
| title_full | Nonparametric statistical tests a computational approach Markus Neuhäuser |
| title_fullStr | Nonparametric statistical tests a computational approach Markus Neuhäuser |
| title_full_unstemmed | Nonparametric statistical tests a computational approach Markus Neuhäuser |
| title_short | Nonparametric statistical tests |
| title_sort | nonparametric statistical tests a computational approach |
| title_sub | a computational approach |
| topic | SAS Programm (DE-588)4195685-0 gnd R Programm (DE-588)4705956-4 gnd Nichtparametrischer Test (DE-588)4075372-4 gnd Computerunterstütztes Verfahren (DE-588)4139030-1 gnd |
| topic_facet | SAS Programm R Programm Nichtparametrischer Test Computerunterstütztes Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024809566&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024809566&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT neuhausermarkus nonparametricstatisticaltestsacomputationalapproach |