UID:
almafu_9959328561002883
Umfang:
1 online resource (xii, 211 pages) :
,
illustrations
Ausgabe:
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010.
ISBN:
9780470316986
,
0470316985
,
9780470317822
,
0470317825
Inhalt:
A one-stop reference to fractional factorials and related orthogonal arrays. Presenting one of the most dynamic areas of statistical research, this book offers a systematic, rigorous, and up-to-date treatment of fractional factorial designs and related combinatorial mathematics. Leading statisticians Aloke Dey and Rahul Mukerjee consolidate vast amounts of material from the professional literature--expertly weaving fractional replication, orthogonal arrays, and optimality aspects. They develop the basic theory of fractional factorials using the calculus of factorial arrangements, thereby provid.
Anmerkung:
Fractional Factorial Plans; Contents; Preface; 1. Introduction; 1.1 lntroductory Remarks, 1; 1.2 Preliminary Ideas, 2; 1.3 Scope of the Book, 5; 2. Fractional Plans and Orthogonal Arrays; 2.1 Introduction, 7; 2.2 Kronecker Notation, 7; 2.3 Fractional Factorial Plans, 11; 2.4 Concept of Resolution, 18; 2.5 Optimality Criteria, 20; 2.6 Role of Orthogonal Arrays, 23; Exercises, 30; 3. Symmetric Orthogonal Arrays; 3.1 Introduction, 32; 3.2 Orthogonal Arrays and Hadamard Matrices, 32; 3.3 Foldover Technique, 34; 3.4 Use of Galois Fields, 36; 3.5 Method of Differences, 40.
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3.6 Some Further Results, 46Exercises, 47; 4. Asymmetric Orthogonal Arrays; 4.1 Introduction, 48; 4.2 Collapsing and Replacement Procedures, 48; 4.3 Use of Hadamard Matrices, 50; 4.4 Use of Difference Matrices, 56; 4.5 Use of Resolvable Arrays, 60; 4.6 More on the Method of Grouping, 66; 4.7 Arrays of Higher Strength, 68; Exercises, 74; 5. Some Results on Nonexistence; 5.1 Introduction, 75; 5.2 Bose-Bush Approach, 75; 5.3 Linear Programming and Other Bounds, 79; 5.4 On the Tight and Nearly Tight Cases, 84; Exercises, 93; 6. More on Optimal Fractional plans and Related Topics.
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6.1 Introduction and Preliminaries, 946.2 Augmented Orthogonal Arrays: Addition of One Run, 95; 6.3 Augmented Orthogonal Arrays: Further Results, 102; 6.4 Nearly Orthogonal Arrays, 1 17; 6.5 Connection with Weighing Designs, 122; 6.6 Optimality with Two or Three Factors, 128; 6.7 Some Other Plans, 134; Exercises, 139; 7. Trend-Free Plans and Blocking; 7.1 Introduction, 140; 7.2 Trend-Free Plans: Basic Principles, 140; 7.3 Trend-Free Orthogonal Arrays, 147; 7.4 Blocking, 158; Exercises, 161; 8. Some Further Developments; 8.1 Introduction, 162.
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8.2 Regular Fractions and Minimum Aberration Designs, 1628.3 Search Designs, 175; 8.4 Supersaturated Designs, 182; Exercises, 184; Appendix; A. 1 Hadamard Matrices, 187; A.2 Difference Matrices, 189; A.3 Selected Orthogonal Arrays, 190; References; Index.
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Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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English.
Weitere Ausg.:
Print version: Dey, Aloke. Fractional factorial plans. New York : Wiley, ©1999 ISBN 0471294144
Weitere Ausg.:
ISBN 9780471294146
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Electronic books.
;
Electronic books.
;
Electronic books.
DOI:
10.1002/9780470316986
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470316986
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470316986
URL:
https://onlinelibrary.wiley.com/doi/book/10.1002/9780470316986
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