Cyclic and computer generated designs:
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| Previous Title: | John, Joshua A. Cyclic designs |
|---|---|
| Main Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Chapman and Hall
1995
|
| Edition: | 2. ed. |
| Series: | Monographs on statistics and applied probability
38 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | 1. Aufl. u.d.T.: John, J. A.: Cyclic designs |
| Physical Description: | XII, 255 S. |
| ISBN: | 0412575809 |
Staff View
MARC
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| 245 | 1 | 0 | |a Cyclic and computer generated designs |c J. A. John and E. R. Williams |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a London [u.a.] |b Chapman and Hall |c 1995 | |
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Record in the Search Index
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Contents
Preface xi
1 Block designs 1
1.1 Introduction 1
1.2 Balanced incomplete block designs 4
1.3 Intra block model 7
1.4 Least squares analysis 10
1.5 Estimability 14
1.6 Analysis of variance 15
1.7 Intra block analysis of a balanced incomplete block
design 19
1.8 Connectedness 21
1.9 Orthogonality 25
2 Efficiency factors 27
2.1 Introduction 27
2.2 Pair wise efficiency factors 28
2.3 Canonical efficiency factors 28
2.4 Optimality criteria 31
2.5 Simple counting rules for producing near optimal
designs 34
2.6 Efficiency factors for unequally replicated designs 37
2.7 Duality 39
2.8 Upper bounds for the average efficiency factor 41
3 Cyclic designs 47
3.1 Introduction 47
3.2 Cyclic designs 48
3.3 Efficiency factors of cyclic designs 50
3.4 Construction of efficient designs 52
viii CONTENTS
3.5 n Cyclic designs 55
3.6 Generalized cyclic designs 59
4 Resolvable block designs 63
4.1 Introduction 63
4.2 Square lattice designs 64
4.3 Rectangular lattice designs 66
4.4 a Designs 68
4.5 Choice of a design 71
4.6 Latinized block designs 72
4.7 Two replicate designs 77
4.8 Paired comparison designs 80
4.9 Unequal block sizes 80
4.10 Upper bounds for the average efficiency factor 81
5 Row—column designs 87
5.1 Introduction 87
5.2 Model and information matrix 88
5.3 Canonical efficiency factors 89
5.4 Orthogonality and connectedness 90
5.5 Upper bounds for the average efficiency factor 92
5.6 Latin square designs 94
5.7 Row orthogonal designs 95
5.8 Non orthogonal row column designs 98
5.9 Nested row column designs 102
6 Resolvable row—column designs 107
6.1 Introduction 107
6.2 Lattice square designs 108
6.3 Construction using a designs 112
6.4 Interchange algorithms 114
6.5 Latinized row column designs 118
6.6 Two replicate row column designs 123
6.7 Upper bounds for the average efficiency factor 125
7 Recovery of inter block information 131
7.1 Introduction 131
7.2 Orthogonal block structure 131
7.3 Error covariance structure 136
7.4 Generalized least squares analysis 138
7.5 Estimation of stratum variances 139
7.6 Block designs 141
CONTENTS ix
7.7 Resolvable designs with unequal block sizes 149
7.8 Neighbour analysis of field trials 151
8 Factorial experiments: single and fractional
replication 155
8.1 Introduction 155
8.2 Treatment structure 160
8.3 Complete block designs 163
8.4 Identifying components of interaction 165
8.5 Construction of single replicate designs 168
8.6 Analysis of single replicate designs 170
8.7 Determining the confounding scheme 171
8.8 Choice of generators 178
8.9 2n experiments 180
8.10 Fractional replication 182
8.11 Other designs 187
9 Factorial experiments: multiple replication 189
9.1 Introduction 189
9.2 Balanced incomplete blocks 191
9.3 Group divisible designs 192
9.4 Factorial structure 197
9.5 Balance 200
9.6 n Cyclic designs 201
9.7 Other designs 216
9.8 Row column designs 217
A Some matrix results 223
A.I Notation 223
A.2 Trace and rank 224
A.3 Eigenvalues and eigenvectors 224
A.4 Idempotent matrices 225
A.5 Generalized inverses 226
A.6 Kronecker products 228
A.7 Circulant matrices 228
A.8 Block circulant matrices 232
References 233
Author index 243
Subject index 247 |
| any_adam_object | 1 |
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| dewey-full | 519.5 620.00420285 |
| dewey-hundreds | 500 - Natural sciences and mathematics 600 - Technology (Applied sciences) |
| dewey-ones | 519 - Probabilities and applied mathematics 620 - Engineering and allied operations |
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| dewey-search | 519.5 620.00420285 |
| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics 620 - Engineering and allied operations |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV011935369 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-04T14:01:58Z |
| institution | BVB |
| isbn | 0412575809 |
| language | English |
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| physical | XII, 255 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Chapman and Hall |
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| series | Monographs on statistics and applied probability |
| series2 | Monographs on statistics and applied probability |
| spelling | John, J. A. 1941- Verfasser (DE-588)128402946 aut Cyclic and computer generated designs J. A. John and E. R. Williams 2. ed. London [u.a.] Chapman and Hall 1995 XII, 255 S. txt rdacontent n rdamedia nc rdacarrier Monographs on statistics and applied probability 38 1. Aufl. u.d.T.: John, J. A.: Cyclic designs Analyse vectorielle ram CAD gtt Conception assistée par ordinateur ram Plan bloc incomplet ram Experimental design Incomplete block designs Blockplan (DE-588)4146038-8 gnd rswk-swf Blockplan (DE-588)4146038-8 s DE-604 Williams, E. R. Verfasser aut Frühere Aufl. u.d.T. John, Joshua A. Cyclic designs Monographs on statistics and applied probability 38 (DE-604)BV002494005 38 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008067564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | John, J. A. 1941- Williams, E. R. Cyclic and computer generated designs Monographs on statistics and applied probability Analyse vectorielle ram CAD gtt Conception assistée par ordinateur ram Plan bloc incomplet ram Experimental design Incomplete block designs Blockplan (DE-588)4146038-8 gnd |
| subject_GND | (DE-588)4146038-8 |
| title | Cyclic and computer generated designs |
| title_auth | Cyclic and computer generated designs |
| title_exact_search | Cyclic and computer generated designs |
| title_full | Cyclic and computer generated designs J. A. John and E. R. Williams |
| title_fullStr | Cyclic and computer generated designs J. A. John and E. R. Williams |
| title_full_unstemmed | Cyclic and computer generated designs J. A. John and E. R. Williams |
| title_old | John, Joshua A. Cyclic designs |
| title_short | Cyclic and computer generated designs |
| title_sort | cyclic and computer generated designs |
| topic | Analyse vectorielle ram CAD gtt Conception assistée par ordinateur ram Plan bloc incomplet ram Experimental design Incomplete block designs Blockplan (DE-588)4146038-8 gnd |
| topic_facet | Analyse vectorielle CAD Conception assistée par ordinateur Plan bloc incomplet Experimental design Incomplete block designs Blockplan |
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