A calculus for factorial arrangements:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1989
|
| Series: | Lecture notes in statistics
59 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 126 S. |
| ISBN: | 3540971726 0387971726 |
Staff View
MARC
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| 100 | 1 | |a Gupta, Sudhir |d 1953- |e Verfasser |0 (DE-588)104280468 |4 aut | |
| 245 | 1 | 0 | |a A calculus for factorial arrangements |c Sudhir Gupta ; Rahul Mukerjee |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1989 | |
| 300 | |a VI, 126 S. | ||
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| 650 | 4 | |a Factorial experiment designs | |
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Record in the Search Index
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| adam_text |
Table of Contents
1. INTRODUCTION 1
2. A CALCULUS FOR FACTORIAL ARRANGEMENTS 3
2.1 Introduction 3
2.2 Elements and operations of the calculus 4
2.3 Orthogonal factorial structure and balance 7
3. CHARACTERIZATIONS FOR BALANCE WITH ORTHOGONAL
FACTORIAL STRUCTURE 11
3.1 Algebraic characterizations 11
3.2 A combinatorial characterization 18
3.3 A review of construction procedures 21
3.4 Concluding remarks 22
4. CHARACTERIZATIONS FOR ORTHOGONAL FACTORIAL
STRUCTURE 24
4.1 Introduction and preliminaries 24
4.2 Algebraic characterizations: the connected case 25
4.3 Algebraic characterizations: the disconnected case 31
4.4 Partial orthogonal factorial structure 37
4.5 Efficiency consistency 42
5. CONSTRUCTIONS I: FACTORIAL EXPERIMENTS IN CYCLIC AND
GENERALIZED CYCLIC DESIGNS 48
5.1 Introduction 48
5.2 Factorial experiments in cyclic designs 48
5.3 Generalized cyclic designs 51
5.4 Single replicate factorials in GC/n designs 56
5.5 Further results 62
5.6 Row column designs 66
5.7 Designs with partial orthogonal factorial structure 70
6. CONSTRUCTIONS II: DESIGNS BASED ON KRONECKER TYPE
PRODUCTS 72
6.1 Introduction 72
6.2 Designs through ordinary Kronecker product 73
6.3 Componentwise Kronecker product of order g 74
VI
6.4 Khatri Rao product of order g 79
6.5 Non equireplicate designs 81
6.6 Designs for multiway heterogeneity elimination 85
7. MORE ON SINGLE REPLICATE FACTORIAL DESIGNS 88
7.1 Introduction 88
7.2 General classical designs 88
7.3 Bilinear classical designs 93
7.4 Concluding remarks 96
8. FURTHER DEVELOPMENTS 98
8.1 Introduction 98
8.2 Deletion designs 98
8.3 Merging of treatments 100
8.4 Results on efficiency and admissibility 104
8.5 Concluding remarks 110
REFERENCES 113
INDEX 124 |
| any_adam_object | 1 |
| author | Gupta, Sudhir 1953- Mukerjee, Rahul 1956- |
| author_GND | (DE-588)104280468 (DE-588)112019129 |
| author_facet | Gupta, Sudhir 1953- Mukerjee, Rahul 1956- |
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| author_sort | Gupta, Sudhir 1953- |
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| dewey-full | 519.5 |
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| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 |
| dewey-search | 519.5 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV002409073 |
| illustrated | Not Illustrated |
| indexdate | 2025-04-04T14:01:17Z |
| institution | BVB |
| isbn | 3540971726 0387971726 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001563541 |
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| physical | VI, 126 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spelling | Gupta, Sudhir 1953- Verfasser (DE-588)104280468 aut A calculus for factorial arrangements Sudhir Gupta ; Rahul Mukerjee Berlin [u.a.] Springer 1989 VI, 126 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in statistics 59 Algebra gtt Factoranalyse gtt Plans factoriels Plans factoriels ram Block designs Factorial experiment designs Faktorielle Versuchsplanung (DE-588)4153601-0 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Kalkül (DE-588)4163108-0 gnd rswk-swf Faktorielle Versuchsplanung (DE-588)4153601-0 s Matrix Mathematik (DE-588)4037968-1 s DE-604 Kalkül (DE-588)4163108-0 s Mukerjee, Rahul 1956- Verfasser (DE-588)112019129 aut Lecture notes in statistics 59 (DE-604)BV002447846 59 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001563541&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gupta, Sudhir 1953- Mukerjee, Rahul 1956- A calculus for factorial arrangements Lecture notes in statistics Algebra gtt Factoranalyse gtt Plans factoriels Plans factoriels ram Block designs Factorial experiment designs Faktorielle Versuchsplanung (DE-588)4153601-0 gnd Matrix Mathematik (DE-588)4037968-1 gnd Kalkül (DE-588)4163108-0 gnd |
| subject_GND | (DE-588)4153601-0 (DE-588)4037968-1 (DE-588)4163108-0 |
| title | A calculus for factorial arrangements |
| title_auth | A calculus for factorial arrangements |
| title_exact_search | A calculus for factorial arrangements |
| title_full | A calculus for factorial arrangements Sudhir Gupta ; Rahul Mukerjee |
| title_fullStr | A calculus for factorial arrangements Sudhir Gupta ; Rahul Mukerjee |
| title_full_unstemmed | A calculus for factorial arrangements Sudhir Gupta ; Rahul Mukerjee |
| title_short | A calculus for factorial arrangements |
| title_sort | a calculus for factorial arrangements |
| topic | Algebra gtt Factoranalyse gtt Plans factoriels Plans factoriels ram Block designs Factorial experiment designs Faktorielle Versuchsplanung (DE-588)4153601-0 gnd Matrix Mathematik (DE-588)4037968-1 gnd Kalkül (DE-588)4163108-0 gnd |
| topic_facet | Algebra Factoranalyse Plans factoriels Block designs Factorial experiment designs Faktorielle Versuchsplanung Matrix Mathematik Kalkül |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001563541&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT guptasudhir acalculusforfactorialarrangements AT mukerjeerahul acalculusforfactorialarrangements |