Design and analysis of experiments with R:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2015
|
| Series: | Texts in statistical science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "A CRC title. - Includes bibliographical references and index |
| Physical Description: | XXIII, 596 S. graph. Darst. |
| ISBN: | 9781439868133 |
Staff View
MARC
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| 300 | |a XXIII, 596 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804153027280502784 |
|---|---|
| adam_text | Contents
Preface
xi
List of Examples
xv
1
Introduction
1
1.1
Statistics and Data Collection
1
1.2
Beginnings of Statistically Planned Experiments
2
1.3
Definitions and Preliminaries
2
1.4
Purposes of Experimental Design
5
1.5
Types of Experimental Designs
6
1.6
Planning Experiments
7
1.7
Performing the Experiments
9
1.8
Use of
R
Software
12
1.9
Review of Important Concepts
12
1.10
Exercises
15
2
Completely Randomized Designs with One Factor
17
2.1
Introduction 17
2.2
Replication and Randomization
17
2.3
A Historical Example w
2.4
Linear Model for CRD 2()
2.5
Verifying Assumptions of the Linear Model
29
2.6
Analysis Strategies When Assumptions Are Violated
31
2.7
Determining the Number of Replicates
38
2.8
Comparison of Treatments after the F-test
41
2.9
Review of Important Concepts 49
2.10
Exercises °
3
Factorial Designs
^
ЗЛ
Introduction
5-
3.2
Classical One at a Time versus Factorial Plans
55
3.3
Interpreting Interactions °
3.4
Creating a Two-Factor Factorial Plan in
R
60
3.5
Analysis of a Two-Factor Factorial in
R 61
3.6
Factorial Designs with Multiple Factors—CRFD
80
3.7
Two-Level Factorials
vii
CONTENTS
Vlil
3.8
Verifying Assumptions of the Model
102
3.9
Review of Important Concepts |^
3.10
Exercises c
4
Randomized Block Designs
4.1
Introduction
4.2
Creating an RCB in
R
4.3
Model for RCB 116
4.4
An Example of an RCB 117
4.5
Determining the Number of Blocks
121
4.6
Factorial Designs in Blocks
122
4.7
Generalized Complete Block Design
124
4.8
Two Block Factors LSD
128
4.9
Review of Important Concepts
133
4.10
Exercises I35
4.11
Appendix—Data from the Golf Experiment
140
5
Designs to Study Variances
141
5
Л
Introduction
141
5.2
Random Factors and Random Sampling Experiments
142
5.3
One-Factor Sampling Designs
144
5.4
Estimating Variance Components
145
5.5
Two-Factor Sampling Designs
155
5.6
Nested Sampling Experiments (NSE)
164
5.7
Staggered Nested Designs
167
5.8
Designs with Fixed and Random Factors
173
5.9
Graphical Methods to Check Model Assumptions
180
5.10
Review of Important Concepts
188
5.11
Exercises
190
6
Fractional Factorial Designs
193
6.1
Introduction
193
6.2
Half-FVactions of
2*
Designs
194
6.3
Quarter and Higher Fractions of 2k Designs
204
6.4
Criteria for Choosing Generators for 2fc~p Designs
206
6.5
Augmenting Fractional Factorials
218
6.6
Plackett-Burman
(PB)
and Model Robust Screening Designs
229
6.7
Mixed Level Factorials and Orthogonal Arrays (OAs)
242
6.8
Definitive Screening Designs
248
6.9
Review of Important Concepts
250
6.10
Exercises
252
7
Incomplete and Confounded Block Designs
261
7.1
Introduction
261
7.2
Balanced Incomplete Block
(ВШ)
Designs
262
CONTENTS Lx
7.3
Analysis of Incomplete Block Designs
264
7.4
BTIB and PBIB Designs
267
7.5
Row Column Designs
271
7.6
Confounded 2k and 2k~p Designs
272
7.7
Confounding 3-Level and p-Level Factorial Designs
285
7.8
Blocking Mixed Level Factorials and OAs
287
7.9
Partially Confounded Blocked Factorial (PCBF)
295
7.10
Review of Important Concepts
300
7.11
Exercises
303
8
Split-Plot Designs
307
8.1
Introduction
307
8.2
Split-Plot Experiments with CRD in Whole Plots CRSP
308
8.3
RCB in Whole Plots RBSP
315
8.4
Analysis Unreplicated 2k Split-Plot Designs
323
8.5
2k~p Fractional Factorials in Split Plots (SPFFs)
328
8.6
Sample Size and Power Issues for Split-Plot Designs
341
8.7
Review of Important Concepts
343
8.8
Exercises
345
9
Crossover and Repeated Measures Designs
351
9.1
Introduction
351
9.2
Crossover Designs (CODs)
351
9.3
Simple
AB,
BA
Crossover Designs for Two Treatments
352
9.4
Crossover Designs for Multiple Treatments
361
9.5
Repeated Measures Designs
366
9.6
Univariate Analysis of Repeated Measures Designs
368
9.7
Review of Important Concepts
377
9.8
Exercises
379
10
Response Surface Designs
383
10.1
Introduction
383
10.2
Fundamentals of Response Surface Methodology
383
10.3
Standard Designs for Second Order Models
387
10.4
Creating Standard Response Surface Designs in
R
396
10.5
Non-Standard Response Surface Designs
400
10.6
Fitting the Response Surface Model with
R
407
10.7
Determining Optimum Operating Conditions
413
10.8
Blocked Response Surface (BRS) Designs
426
10.9
Response Surface Split-Plot (RSSP) Designs
430
10.10
Review of Important Concepts
439
10.11
Exercises
44Ì
11
Mixture Experiments
11.1
Introduction
CONTENTS
11.2 Models and Designs
for Mixture Experiments
449
11.3
Creating Mixture Designs in
R
456
11.4
Analysis of Mixture Experiments
458
11.5
Constrained Mixture Experiments
464
11.6
Blocking Mixture Experiments
473
11.7
Mixture Experiments with Process Variables
478
11.8
Mixture Experiments in Split-Plot Arrangements
487
11.9
Review of Important Concepts
491
11.10
Exercises
493
11.11
Appendix—Example of Fitting Independent Factors
501
12
Robust Parameter Design Experiments
503
12.1
Introduction
503
12.2
Noise Sources of Functional Variation
504
12.3
Product Array Parameter Design Experiments
506
12.4
Analysis of Product Array Experiments
514
12.5
Single-Array Parameter Design Experiments
532
12.6
Joint Modeling of Mean and Dispersion Effects
540
12.7
Review of Important Concepts
547
12.8
Exercises
549
13
Experimental Strategies for Increasing Knowledge
557
13.1
Introduction
557
13.2
Sequential Experimentation
557
13.3
One-Step Screening and Optimization
561
13.4
An Example of Sequential Experimentation
562
13.5
Evolutionary Operation
567
13.6
Concluding Remarks
569
Appendix
—
Brief Introduction to
R
571
Answers to Selected Exercises
573
Bibliography 577
Index 593
|
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| discipline | Allgemeines Informatik Mathematik Wirtschaftswissenschaften |
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| spelling | Lawson, John 1947- Verfasser (DE-588)14146514X aut Design and analysis of experiments with R John Lawson Boca Raton [u.a.] CRC Press 2015 XXIII, 596 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts in statistical science "A CRC title. - Includes bibliographical references and index Versuchsplanung (DE-588)4078859-3 gnd rswk-swf R Programm (DE-588)4705956-4 gnd rswk-swf R Programm (DE-588)4705956-4 s Versuchsplanung (DE-588)4078859-3 s DE-604 Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027819258&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lawson, John 1947- Design and analysis of experiments with R Versuchsplanung (DE-588)4078859-3 gnd R Programm (DE-588)4705956-4 gnd |
| subject_GND | (DE-588)4078859-3 (DE-588)4705956-4 |
| title | Design and analysis of experiments with R |
| title_auth | Design and analysis of experiments with R |
| title_exact_search | Design and analysis of experiments with R |
| title_full | Design and analysis of experiments with R John Lawson |
| title_fullStr | Design and analysis of experiments with R John Lawson |
| title_full_unstemmed | Design and analysis of experiments with R John Lawson |
| title_short | Design and analysis of experiments with R |
| title_sort | design and analysis of experiments with r |
| topic | Versuchsplanung (DE-588)4078859-3 gnd R Programm (DE-588)4705956-4 gnd |
| topic_facet | Versuchsplanung R Programm |
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