Multiple comparisons using R:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2011
|
| Series: | A Chapman & Hall book
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XVII, 187 S. graph. Darst. |
| ISBN: | 9781584885740 |
Staff View
MARC
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| 100 | 1 | |a Bretz, Frank |d 1971- |e Verfasser |0 (DE-588)12145326X |4 aut | |
| 245 | 1 | 0 | |a Multiple comparisons using R |c Frank Bretz ; Torsten Hothorn ; Peter Westfall |
| 264 | 1 | |a Boca Raton [u.a.] |b CRC Press |c 2011 | |
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| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a A Chapman & Hall book | |
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Record in the Search Index
| _version_ | 1804143466766139392 |
|---|---|
| adam_text | Contents
List of Figures
ix
List of Tables
xi
Preface
xiii
1
Introduction
1
2
General Concepts
11
2.1
Error rates and general concepts
11
2.1.1
Error rates
11
2.1.2
General concepts
17
2.2
Construction methods
20
2.2.1
Union intersection test
20
2.2.2
Intersection union test
22
2.2.3
Closure principle
23
2.2.4
Partitioning principle
29
2.3
Methods based on Bonferroni s inequality
31
2.3.1
Bonferroni test
31
2.3.2
Holm procedure
32
2.3.3
Further topics
34
2.4
Methods based on
Simes
inequality
35
3
Multiple Comparisons in Parametric Models
41
3.1
General linear models
41
3.1.1
Multiple comparisons in linear models
41
3.1.2
The linear regression example revisited using
R
45
3.2
Extensions to general parametric models
48
3.2.1
Asymptotic results
48
3.2.2
Multiple comparisons in general parametric models
50
3.2.3
Applications
52
3.3
The multcomp package
53
3.3.1
The glht function
53
3.3.2
The summary method
59
3.3.3
The conf
int
method
64
viii CONTENTS
4
Applications
69
4.1
Multiple
comparisons with a control
70
4.1.1 Dunnett
test
71
4.1.2
Step-down Dumiett test procedure
77
4.2
All pairwise comparisons
82
4.2.1
Tukey test
82
4.2.2
Closed Tukey test procedure
93
4.3
Dose response analyses
99
4.3.1
A dose response study on litter weight in mice
100
4.3.2
Trend tests
103
4.4
Variable selection in regression models
108
4.5
Simultaneous confidence bands 111
4.6
Multiple comparisons under heteroscedasticity
114
4.7
Multiple comparisons in logistic regression models
118
4.8
Multiple comparisons in survival models
124
4.9
Multiple comparisons in mixed-effects models
125
5
Further Topics
127
5.1
Resampling-based multiple comparison procedures
127
5.1.1
Permutation methods
127
5.1.2
Using
R
for permutation multiple testing
137
5.1.3
Bootstrap testing
-
Brief overview
140
5.2
Group sequential and adaptive designs
140
5.2.1
Group sequential designs
141
5.2.2
Adaptive designs
150
5.3
Combining multiple comparisons with modeling
156
5.3.1
MCP-Mod: Dose response analyses under model uncer¬
tainty
157
5.3.2
A dose response example
162
Bibliography
167
Index
183
Statistics
Adopting a unifying theme based on maximum statistics, Multiple Comparisons
Using
R
describes the common underlying theory of multiple comparison
procedures through numerous examples. It also presents a detailed description of
available software implementations in R. The
R
packages and source code for the
analyses are available at http://CRAN.R-project.org
After giving examples of multiplicity problems, the book covers general concepts
and basic multiple comparisons procedures, including the Bonferroni method
and
Simes
test. It then shows how to perform parametric multiple comparisons
in standard linear models and general parametric models. It also introduces the
multcomp package in R, which offers a convenient interface to perform multiple
comparisons in a general context. Following this theoretical framework, the book
explores applications involving the Dunnett test, Tukey s all pairwise comparisons,
and general multiple contrast tests for standard regression models, mixed-effects
models, and parametric survival models. The last chapter reviews other multiple
comparison procedures, such as resampling-based procedures.
Features
•
Covers a range of multiple comparison procedures, from the Bonferroni
method and
Simes
test to resampling and adaptive design methods
•
Discusses how to prevent finding artifacts through unreasonable or excessive
data manipulation
•
Examines the ability to state rigorous claims in spite of the hazards of
multiplicity
•
Provides the theoretical framework for various applications
•
Focuses on classical applications of multiple comparison procedures
•
Explores how to determine what is a safe and effective dose as well as
whether a new condition or treatment is successful
This self-contained introduction offers strategies for constructing multiple
comparison procedures and illustrates the framework for multiple hypotheses
testing in general parametric models. It is suitable for readers with
R
experience
but limited knowledge of multiple comparison procedures and vice versa.
|
| any_adam_object | 1 |
| author | Bretz, Frank 1971- Hothorn, Torsten 1975- Westfall, Peter H. 1957- |
| author_GND | (DE-588)12145326X (DE-588)141991437 (DE-588)171276752 |
| author_facet | Bretz, Frank 1971- Hothorn, Torsten 1975- Westfall, Peter H. 1957- |
| author_role | aut aut aut |
| author_sort | Bretz, Frank 1971- |
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| classification_rvk | ST 250 ST 601 |
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| ctrlnum | (OCoLC)700310297 (DE-599)BVBBV036788322 |
| 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 | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV036788322 |
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| indexdate | 2024-07-09T22:48:07Z |
| institution | BVB |
| isbn | 9781584885740 |
| language | English |
| lccn | 2010023538 |
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| physical | XVII, 187 S. graph. Darst. |
| publishDate | 2011 |
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| publisher | CRC Press |
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| series2 | A Chapman & Hall book |
| spelling | Bretz, Frank 1971- Verfasser (DE-588)12145326X aut Multiple comparisons using R Frank Bretz ; Torsten Hothorn ; Peter Westfall Boca Raton [u.a.] CRC Press 2011 XVII, 187 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier A Chapman & Hall book Includes bibliographical references and index Multiple comparisons (Statistics) R (Computer program language) R Programm (DE-588)4705956-4 gnd rswk-swf Multipler Mittelwertvergleich (DE-588)4123804-7 gnd rswk-swf Multipler Mittelwertvergleich (DE-588)4123804-7 s R Programm (DE-588)4705956-4 s b DE-604 Hothorn, Torsten 1975- Verfasser (DE-588)141991437 aut Westfall, Peter H. 1957- Verfasser (DE-588)171276752 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020704783&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020704783&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Bretz, Frank 1971- Hothorn, Torsten 1975- Westfall, Peter H. 1957- Multiple comparisons using R Multiple comparisons (Statistics) R (Computer program language) R Programm (DE-588)4705956-4 gnd Multipler Mittelwertvergleich (DE-588)4123804-7 gnd |
| subject_GND | (DE-588)4705956-4 (DE-588)4123804-7 |
| title | Multiple comparisons using R |
| title_auth | Multiple comparisons using R |
| title_exact_search | Multiple comparisons using R |
| title_full | Multiple comparisons using R Frank Bretz ; Torsten Hothorn ; Peter Westfall |
| title_fullStr | Multiple comparisons using R Frank Bretz ; Torsten Hothorn ; Peter Westfall |
| title_full_unstemmed | Multiple comparisons using R Frank Bretz ; Torsten Hothorn ; Peter Westfall |
| title_short | Multiple comparisons using R |
| title_sort | multiple comparisons using r |
| topic | Multiple comparisons (Statistics) R (Computer program language) R Programm (DE-588)4705956-4 gnd Multipler Mittelwertvergleich (DE-588)4123804-7 gnd |
| topic_facet | Multiple comparisons (Statistics) R (Computer program language) R Programm Multipler Mittelwertvergleich |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020704783&sequence=000002&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=020704783&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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