An introduction to construction and analysis of statistical designs:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Kingston, Ont.
Queen's Univ.
1983
|
| Series: | Queen's papers in pure and applied mathematics
64 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Name des 2. Verfassers auf Titelbl. falsch |
| Physical Description: | VI, 719 S. |
Staff View
MARC
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| 245 | 1 | 0 | |a An introduction to construction and analysis of statistical designs |c by D. G. Kabe and S. M. Shan |
| 264 | 1 | |a Kingston, Ont. |b Queen's Univ. |c 1983 | |
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| 650 | 4 | |a Plan d'expérience | |
| 650 | 4 | |a Statistique | |
| 650 | 4 | |a Experimental design | |
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Record in the Search Index
| _version_ | 1804117962505846784 |
|---|---|
| adam_text | CONTENTS
Chapter
1. LINEAR STATISTICAL INFERENCE
1.1 Introduction 1
1.2 Generalized Inverse Matrices 1
1.3 Some Properties of g Inverses 9
1.4 Moore Penrose Inverse of a Matrix 12
1.5 Linear Equations 22
1.6 Some Distribution Theory Results 28
1.7 Distributions of Quadratic Forms 32
1.8 Linear Estimation 35
1.9 Test of Hypotheses 51
1.10 Linear Estimation and Testing in
Correlated Variables 61
EXERCISES 74
2. GENERAL STRUCTURE OF ANALYSIS OF DESIGNS
2.1 Introduction 83
2.2 Structure of a One Way Design 83
2.3 Analysis of a One Way Design 87
2.4 Methods for Solving Q = C ^ 94
2.5 Some Remarks on F £, and Matrices C, D 98
2.6 Expected Values of Sums of Squares of
Intrablock Analysis of Variance 103
2.7 Connectedness, Balancedness, and Orthogonality 106
(11)
Chapter
2.8 Analysis with Recovery of Interblock
Information 131
2.9 Analysis of Two Way Designs 151
EXERCISES 162
3. SOME STANDARD DESIGNS
3.1 Introduction 165
3.2 Randomized Block Design 165
3.3 Methods of Multiple Comparisons in a RBD 170
3.4 Analysis of a RBD when Blocks are Random 175
3.5 Balanced Incomplete Block Design 177
(111)
3.6 Intrablock Analysis of a BIBD 186
3.7 Analysis with Recovery of Interblock Information 194
3.8 Partially Balanced Incomplete Block Designs 203
3.9 Intrablock Analysis of a PBIBD 213
3.10 Analysis of PBIBD with Recovery of Information 224
3.11 Split Plot Design 232
EXERCISES 259
4. SOME STANDARD DESIGNS II
4.1 Introduction 282
4.2 Latin Squares 283
** 4.3 Cross Over Design 292
4.4 Graeco Latin Square Design 296
4.5 Change Over Design 304
4.6 Youden Square Design 326
4.7 Lattice Design 337
EXERCISES 349
(iv)
5. GALOIS FIELD THEORY
5.1 Introduction 357
5.2 GALOIS Field Theory 357
5.3 Finite Project!ve Geometry 368
5.4 Finite Euclidean Geometry 377
EXERCISES 386
6. CONSTRUCTION OF DESIGNS
6.1 Introduction 387
6.2 Construction of MOLS of Side S 387
6.3 Construction of BIBD 398
6.4 Construction of a Youden Square 424
6.5 Construction of PBIBD 429
EXERCISES 441
7. FACTORIAL DESIGNS
7.1 Introduction 445
7.2 Interactions in Factorial Experiments 449
(v)
7.3 2m Factorial Design 457
7.4 Yates Method for 2m Designs 463
7.5 3m Factorial Designs 473
7.6 Extended Yates Method for 3m Designs 487
7.7 Use of E(m,s) in a Sm Design 493
7.8 Analysis of a s^s^ ... s Design 500
EXERCISES 509
8. CONFOUNDED FACTORIAL DESIGNS
8.1 Confounding 515
8.2 Confounding in a 2m Design 518
8.3 Confounding in a Sm Design 535
8.4 Analysis of a (Sm, Sk) Design 548
8.5 Partial Confounding and Balancing 557
8.6 Analysis of Partially Confounded Designs 572
EXERCISES 589
9. FRACTIONAL REPLICATE DESIGNS
9.1 Fractional Replication 597
(V1)
9.2 Replicate of a 2m Design 600
9.3 — Replicate of a 2m Design 609
2
9.4 Confounding in replicate of 2m Design 615
9.5 Confounding in— replicate of 2m Design 622
2P
9.6 Use of E(mss) in fractional replicates of S
Designs 624
9.7 replicate of Sm Design 638
EXERCISES 648
10. MISSING PLOT TECHNIQUE
10.1 Introduction 655
10.2 Analysis with Available Data 657
10.3 Analysis with Missing Yields 659
10.4 Binary Missing Value Designs 664
10.5 Two Way Designs with Missing Values 670
10.6 Loss of Efficiency Due to Missing Values 684
10.7 Analysis with Mixed Up Values 689
10.8 Covariance Techniques 700
EXERCISES 706
REFERENCES 711
|
| any_adam_object | 1 |
| author | Kabe, Dattatraya G. Shah, S. M. |
| author_facet | Kabe, Dattatraya G. Shah, S. M. |
| author_role | aut aut |
| author_sort | Kabe, Dattatraya G. |
| author_variant | d g k dg dgk s m s sm sms |
| building | Verbundindex |
| bvnumber | BV003612102 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 380 |
| ctrlnum | (OCoLC)9729957 (DE-599)BVBBV003612102 |
| dewey-full | 510 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 519 - Probabilities and applied mathematics |
| dewey-raw | 510 519.5 |
| dewey-search | 510 519.5 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:02:44Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002300555 |
| oclc_num | 9729957 |
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| physical | VI, 719 S. |
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| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spelling | Kabe, Dattatraya G. Verfasser aut An introduction to construction and analysis of statistical designs by D. G. Kabe and S. M. Shan Kingston, Ont. Queen's Univ. 1983 VI, 719 S. txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics 64 Name des 2. Verfassers auf Titelbl. falsch Bloc équilibré Jussieu Carré latin Jussieu Exercice statistique Jussieu Inférence satistique linéaire Jussieu Plan d'expérience Statistique Experimental design Entwurf (DE-588)4121208-3 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Experiment (DE-588)4015999-1 gnd rswk-swf Experimentauswertung (DE-588)4153362-8 gnd rswk-swf Statistik (DE-588)4056995-0 s Experimentauswertung (DE-588)4153362-8 s DE-604 Experiment (DE-588)4015999-1 s Entwurf (DE-588)4121208-3 s Shah, S. M. Verfasser aut Queen's papers in pure and applied mathematics 64 (DE-604)BV001889470 64 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002300555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kabe, Dattatraya G. Shah, S. M. An introduction to construction and analysis of statistical designs Queen's papers in pure and applied mathematics Bloc équilibré Jussieu Carré latin Jussieu Exercice statistique Jussieu Inférence satistique linéaire Jussieu Plan d'expérience Statistique Experimental design Entwurf (DE-588)4121208-3 gnd Statistik (DE-588)4056995-0 gnd Experiment (DE-588)4015999-1 gnd Experimentauswertung (DE-588)4153362-8 gnd |
| subject_GND | (DE-588)4121208-3 (DE-588)4056995-0 (DE-588)4015999-1 (DE-588)4153362-8 |
| title | An introduction to construction and analysis of statistical designs |
| title_auth | An introduction to construction and analysis of statistical designs |
| title_exact_search | An introduction to construction and analysis of statistical designs |
| title_full | An introduction to construction and analysis of statistical designs by D. G. Kabe and S. M. Shan |
| title_fullStr | An introduction to construction and analysis of statistical designs by D. G. Kabe and S. M. Shan |
| title_full_unstemmed | An introduction to construction and analysis of statistical designs by D. G. Kabe and S. M. Shan |
| title_short | An introduction to construction and analysis of statistical designs |
| title_sort | an introduction to construction and analysis of statistical designs |
| topic | Bloc équilibré Jussieu Carré latin Jussieu Exercice statistique Jussieu Inférence satistique linéaire Jussieu Plan d'expérience Statistique Experimental design Entwurf (DE-588)4121208-3 gnd Statistik (DE-588)4056995-0 gnd Experiment (DE-588)4015999-1 gnd Experimentauswertung (DE-588)4153362-8 gnd |
| topic_facet | Bloc équilibré Carré latin Exercice statistique Inférence satistique linéaire Plan d'expérience Statistique Experimental design Entwurf Statistik Experiment Experimentauswertung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002300555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
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