Optimum designs for multi-factor models:
In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this vo...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1996
|
| Schriftenreihe: | Lecture notes in statistics
113 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this volume introduces the theory of optimum designs for complex models. It also develops general methods of reduction of marginal problems for large classes of models with relevant interaction structures. Familiarity with the statistical theory of linear models is desirable, but not necessary. |
| Beschreibung: | 124 S. |
| ISBN: | 0387947450 |
Internformat
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| 490 | 1 | |a Lecture notes in statistics |v 113 | |
| 520 | 3 | |a In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this volume introduces the theory of optimum designs for complex models. It also develops general methods of reduction of marginal problems for large classes of models with relevant interaction structures. Familiarity with the statistical theory of linear models is desirable, but not necessary. | |
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Datensatz im Suchindex
| _version_ | 1804125374129373184 |
|---|---|
| adam_text | RAINER SCHWABE OPTIMUM DESIGNS FOR MULTI-FACTOR MODELS SPRINGER TABLE OF
CONTENTS PART I GENERAL CONCEPTS 1 1 FOUNDATIONS 2 1.1 THE LINEAR MODEL
2 1.2 DESIGNED EXPERIMENTS 5 2 A REVIEW ON OPTIMUM DESIGN THEORY 8 2.1
OPTIMALITY CRITERIA 8 2.2 EQUIVALENCE THEOREMS 11 3 REDUCTION PRINCIPLES
15 3.1 ORTHOGONALIZATION AND REFINEMENT 15 3.2 INVARIANCE 20 PART II
PARTICULAR CLASSES OF MULTI-FACTOR MODELS 35 4 COMPLETE PRODUCT-TYPE
INTERACTIONS 38 5 NO INTERACTIONS 49 5.1 ADDITIVE MODELS ^9 5.2
ORTHOGONAL DESIGNS 69 6 PARTIAL INTERACTIONS 76 6.1 COMPLETE M-FACTOR
INTERACTIONS 76 6.2 INVARIANT DESIGNS 81 7 SOME ADDITIONAL RESULTS 107
APPENDIX ON PARTITIONED MATRICES 112 REFERENCES 113 LIST OF SYMBOLS 120
INDEX 122
|
| any_adam_object | 1 |
| author | Schwabe, Rainer |
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| ctrlnum | (OCoLC)34513151 (DE-599)BVBBV010884620 |
| dewey-full | 519.5/354 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/354 |
| dewey-search | 519.5/354 |
| dewey-sort | 3519.5 3354 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010884620 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:00:32Z |
| institution | BVB |
| isbn | 0387947450 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007278304 |
| oclc_num | 34513151 |
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| physical | 124 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
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| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spelling | Schwabe, Rainer Verfasser aut Optimum designs for multi-factor models Rainer Schwabe New York [u.a.] Springer 1996 124 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in statistics 113 In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this volume introduces the theory of optimum designs for complex models. It also develops general methods of reduction of marginal problems for large classes of models with relevant interaction structures. Familiarity with the statistical theory of linear models is desirable, but not necessary. Experimenteel ontwerp gtt Plan d'expérience Plan d'expérience ram Statistische methoden gtt Experimental design Faktorielle Versuchsplanung (DE-588)4153601-0 gnd rswk-swf Optimale Versuchsplanung (DE-588)4043660-3 gnd rswk-swf Faktorielle Versuchsplanung (DE-588)4153601-0 s Optimale Versuchsplanung (DE-588)4043660-3 s DE-604 Lecture notes in statistics 113 (DE-604)BV002447846 113 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007278304&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schwabe, Rainer Optimum designs for multi-factor models Lecture notes in statistics Experimenteel ontwerp gtt Plan d'expérience Plan d'expérience ram Statistische methoden gtt Experimental design Faktorielle Versuchsplanung (DE-588)4153601-0 gnd Optimale Versuchsplanung (DE-588)4043660-3 gnd |
| subject_GND | (DE-588)4153601-0 (DE-588)4043660-3 |
| title | Optimum designs for multi-factor models |
| title_auth | Optimum designs for multi-factor models |
| title_exact_search | Optimum designs for multi-factor models |
| title_full | Optimum designs for multi-factor models Rainer Schwabe |
| title_fullStr | Optimum designs for multi-factor models Rainer Schwabe |
| title_full_unstemmed | Optimum designs for multi-factor models Rainer Schwabe |
| title_short | Optimum designs for multi-factor models |
| title_sort | optimum designs for multi factor models |
| topic | Experimenteel ontwerp gtt Plan d'expérience Plan d'expérience ram Statistische methoden gtt Experimental design Faktorielle Versuchsplanung (DE-588)4153601-0 gnd Optimale Versuchsplanung (DE-588)4043660-3 gnd |
| topic_facet | Experimenteel ontwerp Plan d'expérience Statistische methoden Experimental design Faktorielle Versuchsplanung Optimale Versuchsplanung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007278304&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002447846 |
| work_keys_str_mv | AT schwaberainer optimumdesignsformultifactormodels |