Optimal design of experiments: a case study approach
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Chichester
Wiley
2011
|
Ausgabe: | 1. publ. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Includes bibliographical references and index |
Beschreibung: | XIV, 287 S. graph. Darst. |
ISBN: | 9780470744611 |
Internformat
MARC
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100 | 1 | |a Goos, Peter |e Verfasser |0 (DE-588)171879465 |4 aut | |
245 | 1 | 0 | |a Optimal design of experiments |b a case study approach |c Peter Goos ; Bradley Jones |
250 | |a 1. publ. | ||
264 | 1 | |a Chichester |b Wiley |c 2011 | |
300 | |a XIV, 287 S. |b graph. Darst. | ||
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 Datenverarbeitung | |
650 | 4 | |a Industrial engineering |x Experiments |x Computer-aided design | |
650 | 4 | |a Experimental design |x Data processing | |
650 | 4 | |a Industrial engineering |v Case studies | |
650 | 7 | |a SCIENCE / Experiments & Projects |2 bisacsh | |
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Datensatz im Suchindex
_version_ | 1804148392185561088 |
---|---|
adam_text | Contents
Preface
xiii
Acknowledgments
xv
1
A simple comparative experiment
1
1.1
Key concepts
1
1.2
The setup of a comparative experiment
2
1.3
Summary
8
2
An optimal screening experiment
9
2.1
Key concepts
9
2.2
Case: an extraction experiment
10
2.2.1
Problem and design
10
2.2.2
Data analysis
14
2.3
Peek into the black box
21
2.3.1
Main-effects models
21
2.3.2
Models with two-factor interaction effects
22
2.3.3
Factor scaling
24
2.3.4
Ordinary least squares estimation
24
2.3.5 Significance tests and statistical power calculations
27
2.3.6
Variance inflation
28
2.3.7
Aliasing
29
2.3.8
Optimal design
33
2.3.9
Generating optimal experimental designs
35
2.3.10
The extraction experiment revisited
40
2.3.11
Principles of successful screening: sparsity, hierarchy,
and heredity
41
2.4
Background reading
44
2.4.1
Screening
44
2.4.2
Algorithms for finding optimal designs
44
2.5
Summary
45
CONTENTS
Adding runs to a screening experiment
47
3.1
Key concepts
47
3.2
Case: an augmented extraction experiment
48
3.2.1
Problem and design
48
3.2.2
Data analysis
55
3.3
Peek into the black box
59
3.3.1
Optimal selection of a follow-up design
60
3.3.2
Design construction algorithm
65
3.3.3
Foldover designs
66
3.4
Background reading
67
3.5
Summary
67
A response surface design with a categorical factor
69
4.1
Key concepts
69
4.2
Case: a robust and optimal process experiment
70
4.2.1
Problem and design
70
4.2.2
Data analysis
79
4.3
Peek into the black box
82
4.3.1
Quadratic effects
82
4.3.2
Dummy variables for multilevel categorical factors
83
4.3.3
Computing D-efficiencies
86
4.3.4
Constructing Fraction of Design Space plots
87
4.3.5
Calculating the average relative variance of prediction
88
4.3.6
Computing I-efficiencies
90
4.3.7
Ensuring the validity of inference based on ordinary
least squares
90
4.3.8
Design regions
91
4.4
Background reading
92
4.5
Summary
93
A response surface design in an irregularly soaped design region
95
5.1
Key concepts
95
5.2
Case: the yield maximization experiment
95
5.2.1
Problem and design
95
5.2.2
Data analysis
103
5.3
Peek into the black box
108
5.3.1
Cubic factor effects
108
5.3.2
Lack-of-fittest
109
5.3.3
Incorporating factor constraints in the design
construction algorithm 111
5.4
Background reading
112
5.5
Summary
112
CONTENTS ix
A mixture experiment with process variables
113
6.1
Key concepts
113
6.2
Case: the rolling mill experiment
114
6.2.1
Problem and design
114
6.2.2
Data analysis
121
6.3
Peek into the black box
123
6.3.1
The mixture constraint
123
6.3.2
The effect of the mixture constraint on the model
123
6.3.3
Commonly used models for data from mixture
experiments
125
6.3.4
Optimal designs for mixture experiments
127
6.3.5
Design construction algorithms for mixture experiments
130
6.4
Background reading
132
6.5
Summary
133
A response surface design in blocks
135
7.1
Key concepts
135
7.2
Case: the pastry dough experiment
136
7.2.1
Problem and design
136
7.2.2
Data analysis
144
7.3
Peek into the black box
151
7.3.1
Model
151
7.3.2
Generalized least squares estimation
153
7.3.3
Estimation of variance components
156
7.3.4
Significance tests
157
7.3.5
Optimal design of blocked experiments
157
7.3.6
Orthogonal blocking
158
7.3.7
Optimal versus orthogonal blocking
160
7.4
Background reading
160
7.5
Summary
161
A screening experiment in blocks
163
8.1
Key concepts
163
8.2
Case: the stability improvement experiment
164
8.2.1
Problem and design
164
8.2.2
Afterthoughts about the design problem
169
8.2.3
Data analysis
175
8.3
Peek into the black box
179
8.3.1
Models involving block effects
179
8.3.2
Fixed block effects
182
8.4
Background reading
184
8.5
Summary
185
χ
CONTENTS
9
Experimental design in the presence of covariates
187
9.1
Key concepts
187
9.2
Case: the polypropylene experiment
188
9.2.1
Problem and design
188
9.2.2
Data analysis
197
9.3
Peek into the black box
206
9.3.1
Covariates or concomitant variables
206
9.3.2
Models and design criteria in the presence of covariates
206
9.3.3
Designs robust to time trends
211
9.3.4
Design construction algorithms
215
9.3.5
To randomize or not to randomize
215
9.3.6
Final thoughts
216
9.4
Background reading
216
9.5
Summary
217
10
A split-plot design
219
10.1
Key concepts
219
10.2
Case: the wind tunnel experiment
220
10.2.1
Problem and design
220
10.2.2
Data analysis
232
10.3
Peek into the black box
240
10.3.1
Split-plot terminology
240
10.3.2
Model
242
10.3.3
Inference from a split-plot design
244
10.3.4
Disguises of a split-plot design
247
10.3.5
Required number of whole plots and runs
249
10.3.6
Optimal design of split-plot experiments
250
10.3.7
A design construction algorithm for optimal
split-plot designs
251
10.3.8
Difficulties when analyzing data from
split-plot experiments
253
10.4
Background reading
253
10.5
Summary
254
11
A two-way split-plot design
255
11.1
Key concepts
255
11.2
Case: the battery cell experiment
255
11.2.1
Problem and design
255
11.2.2
Data analysis
263
11.3
Peek into the black box
267
11.3.1
The two-way split-plot model
269
11.3.2
Generalized least squares estimation
270
11.3.3
Optimal design of two-way split-plot experiments
273
CONTENTS xi
11.3.4
A design construction algorithm for D-optimal two-way
split-plot designs
273
11.3.5
Extensions and related designs
274
11.4
Background reading
275
11.5
Summary
276
Bibliography
277
Index
283
|
any_adam_object | 1 |
author | Goos, Peter Jones, Bradley |
author_GND | (DE-588)171879465 (DE-588)139457755 |
author_facet | Goos, Peter Jones, Bradley |
author_role | aut aut |
author_sort | Goos, Peter |
author_variant | p g pg b j bj |
building | Verbundindex |
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callnumber-first | T - Technology |
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callnumber-raw | T57.5 |
callnumber-search | T57.5 |
callnumber-sort | T 257.5 |
callnumber-subject | T - General Technology |
classification_rvk | QH 236 ST 600 UX 1300 |
ctrlnum | (OCoLC)743210550 (DE-599)BVBBV039565436 |
dewey-full | 670.285 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 670 - Manufacturing |
dewey-raw | 670.285 |
dewey-search | 670.285 |
dewey-sort | 3670.285 |
dewey-tens | 670 - Manufacturing |
discipline | Physik Informatik Werkstoffwissenschaften / Fertigungstechnik Wirtschaftswissenschaften |
edition | 1. publ. |
format | Book |
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genre | (DE-588)4522595-3 Fallstudiensammlung gnd-content |
genre_facet | Fallstudiensammlung |
id | DE-604.BV039565436 |
illustrated | Illustrated |
indexdate | 2024-07-10T00:06:24Z |
institution | BVB |
isbn | 9780470744611 |
language | English |
lccn | 2011008381 |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024417030 |
oclc_num | 743210550 |
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owner_facet | DE-11 DE-355 DE-BY-UBR DE-945 |
physical | XIV, 287 S. graph. Darst. |
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spelling | Goos, Peter Verfasser (DE-588)171879465 aut Optimal design of experiments a case study approach Peter Goos ; Bradley Jones 1. publ. Chichester Wiley 2011 XIV, 287 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Datenverarbeitung Industrial engineering Experiments Computer-aided design Experimental design Data processing Industrial engineering Case studies SCIENCE / Experiments & Projects bisacsh Lineares Modell (DE-588)4134827-8 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Optimale Versuchsplanung (DE-588)4043660-3 gnd rswk-swf (DE-588)4522595-3 Fallstudiensammlung gnd-content Optimale Versuchsplanung (DE-588)4043660-3 s Statistik (DE-588)4056995-0 s DE-604 Lineares Modell (DE-588)4134827-8 s 1\p DE-604 Jones, Bradley Verfasser (DE-588)139457755 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024417030&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 | Goos, Peter Jones, Bradley Optimal design of experiments a case study approach Datenverarbeitung Industrial engineering Experiments Computer-aided design Experimental design Data processing Industrial engineering Case studies SCIENCE / Experiments & Projects bisacsh Lineares Modell (DE-588)4134827-8 gnd Statistik (DE-588)4056995-0 gnd Optimale Versuchsplanung (DE-588)4043660-3 gnd |
subject_GND | (DE-588)4134827-8 (DE-588)4056995-0 (DE-588)4043660-3 (DE-588)4522595-3 |
title | Optimal design of experiments a case study approach |
title_auth | Optimal design of experiments a case study approach |
title_exact_search | Optimal design of experiments a case study approach |
title_full | Optimal design of experiments a case study approach Peter Goos ; Bradley Jones |
title_fullStr | Optimal design of experiments a case study approach Peter Goos ; Bradley Jones |
title_full_unstemmed | Optimal design of experiments a case study approach Peter Goos ; Bradley Jones |
title_short | Optimal design of experiments |
title_sort | optimal design of experiments a case study approach |
title_sub | a case study approach |
topic | Datenverarbeitung Industrial engineering Experiments Computer-aided design Experimental design Data processing Industrial engineering Case studies SCIENCE / Experiments & Projects bisacsh Lineares Modell (DE-588)4134827-8 gnd Statistik (DE-588)4056995-0 gnd Optimale Versuchsplanung (DE-588)4043660-3 gnd |
topic_facet | Datenverarbeitung Industrial engineering Experiments Computer-aided design Experimental design Data processing Industrial engineering Case studies SCIENCE / Experiments & Projects Lineares Modell Statistik Optimale Versuchsplanung Fallstudiensammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024417030&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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