Optimal crossover designs:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey [u.a.]
World Scientific
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XII, 225 S. |
| ISBN: | 9789812818423 9812818421 |
Staff View
MARC
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| 020 | |a 9812818421 |c hardcover : alk. paper |9 981-281-842-1 | ||
| 035 | |a (OCoLC)490179713 | ||
| 035 | |a (DE-599)BVBBV035794636 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
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| 100 | 1 | |a Bose, Mausumi |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Optimal crossover designs |c Mausumi Bose ; Aloke Dey |
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2009 | |
| 300 | |a XII, 225 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Experimental design | |
| 650 | 4 | |a Optimal designs (Statistics) | |
| 650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1804140737454931968 |
|---|---|
| adam_text | Contents
Preface
xi
1.
Introduction
1
1.1
Prologue
............................ 1
1.2
Notation,
Terminology and Models
............. 8
1.3
Information Matrices
..................... 12
1.4
Optimality Criteria and
Tools
................ 18
1.5
Outline of the Book
..................... 23
2.
Optimality of Balanced and Strongly Balanced Designs
25
2.1
Introduction
.......................... 25
2.2
Definitions and Some Basic Results
............. 26
2.3
Optimality of Balanced Uniform Designs
.......... 31
2.4
Optimality of Strongly Balanced Designs
.......... 41
2.5
Some More Optimal Designs
................ 43
2.6
Constructions
......................... 49
3.
Some Optimal Designs with
ρ
<t
59
3.1
Introduction
.......................... 59
3.2
Designs with
ρ
<
t......................
60
3.3
Two-period Designs
..................... 69
3.4
Optimality of Patterson Designs
.............. 76
3.5
Constructions
......................... 84
4.
Optimal Designs via Approximate Theory
91
4.1
Introduction
.......................... 91
vii
viii Optimal
Crossover Designs
4.2
Notation and Information matrices
............. 93
4.3
Quadratic Function for Direct Effects Associated with a
Sequence
........................... 97
4.4
Determining a, b and
S
................... 100
4.5
Optimality Equations
.................... 104
4.6
Optimal Symmetric Designs for Direct Effects
...... 106
4.7
Optimal Designs for Carryover Effects
........... 110
4.8
Design Efficiency
....................... 114
5.
Optimality under Some Other Additive Models
117
5.1
Introduction
.......................... 117
5.2
A Model with Self and Mixed Carryover Effects
...... 118
5.3
A Model with Carryover Effects Proportional to Direct
Effects and Optimal Designs
................. 131
6.
Optimality under Non-additive Models
147
6.1
Introduction
.......................... 147
6.2
Correspondence with a Factorial Experiment
....... 149
6.3
Optimality Results
...................... 152
6.4
Optimality Under a Non-additive Random Subject
Effects Model
......................... 159
6.5
Optimality in the Presence of Higher Order Carryover
Effects and Interaction
.................... 162
7.
Some Further Developments
167
7.1
Introduction
.......................... 167
7.2
Optimal Two-treatment Designs
.............. 168
7.2.1
Optimal Designs under Uncorrelated Errors
. . . 169
7.2.2
Optimal Designs under Correlated Errors
..... 170
7.2.3
Optimal Designs under
Autoregressive
Errors
. . 172
7.3
Optimal Designs under Correlated Errors for an Arbitrary
Number of Treatments
.................... 178
7.4
Optimal Designs for Test-Control Comparisons
...... 182
7.4.1
Optimal Designs with
p
>
t
+ 1.......... 185
7.4.2
Optimal Designs with
p
= 2............ 188
7.4.3
Optimal Designs with
3 <
p < t +
1........ 189
7.5
Optimal Designs with Subject Dropout
.......... 199
7.6
Some Additional Comments
................. 204
Contents
References
209
Index 223
|
| any_adam_object | 1 |
| author | Bose, Mausumi Dey, Aloke |
| author_facet | Bose, Mausumi Dey, Aloke |
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| dewey-full | 519.5/7 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/7 |
| dewey-search | 519.5/7 |
| dewey-sort | 3519.5 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035794636 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:04:44Z |
| institution | BVB |
| isbn | 9789812818423 9812818421 |
| language | English |
| lccn | 2009007076 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018653894 |
| oclc_num | 490179713 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XII, 225 S. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Bose, Mausumi Verfasser aut Optimal crossover designs Mausumi Bose ; Aloke Dey New Jersey [u.a.] World Scientific 2009 XII, 225 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Experimental design Optimal designs (Statistics) Optimierung (DE-588)4043664-0 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 gnd rswk-swf Versuchsplanung (DE-588)4078859-3 s Optimierung (DE-588)4043664-0 s DE-604 Dey, Aloke Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018653894&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bose, Mausumi Dey, Aloke Optimal crossover designs Experimental design Optimal designs (Statistics) Optimierung (DE-588)4043664-0 gnd Versuchsplanung (DE-588)4078859-3 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4078859-3 |
| title | Optimal crossover designs |
| title_auth | Optimal crossover designs |
| title_exact_search | Optimal crossover designs |
| title_full | Optimal crossover designs Mausumi Bose ; Aloke Dey |
| title_fullStr | Optimal crossover designs Mausumi Bose ; Aloke Dey |
| title_full_unstemmed | Optimal crossover designs Mausumi Bose ; Aloke Dey |
| title_short | Optimal crossover designs |
| title_sort | optimal crossover designs |
| topic | Experimental design Optimal designs (Statistics) Optimierung (DE-588)4043664-0 gnd Versuchsplanung (DE-588)4078859-3 gnd |
| topic_facet | Experimental design Optimal designs (Statistics) Optimierung Versuchsplanung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018653894&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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