LEADER 04398nam 2200637Ia 450 001 9910144684603321 005 20170810195513.0 010 $a1-282-30739-8 010 $a9786612307393 010 $a0-470-31698-5 010 $a0-470-31782-5 035 $a(CKB)1000000000687570 035 $a(EBL)469011 035 $a(OCoLC)475694523 035 $a(SSID)ssj0000337860 035 $a(PQKBManifestationID)11276874 035 $a(PQKBTitleCode)TC0000337860 035 $a(PQKBWorkID)10295389 035 $a(PQKB)10354457 035 $a(MiAaPQ)EBC469011 035 $a(PPN)159325625 035 $a(EXLCZ)991000000000687570 100 $a19980918d1999 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractional factorial plans$b[electronic resource] /$fAloke Dey, Rahul Mukerjee 210 $aNew York $cWiley$dc1999 215 $a1 online resource (236 p.) 225 1 $aWiley series in probability and statistics Probability and statistics section 300 $aDescription based upon print version of record. 311 $a0-471-29414-4 320 $aIncludes bibliographical references and index. 327 $aFractional 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, 40 327 $a3.6 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 327 $a6.1 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, 162 327 $a8.2 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 330 $aA one-stop reference to fractional factorials and related orthogonal arrays.Presenting one of the most dynamic areas of statistical research, this book offers a systematic, rigorous, and up-to-date treatment of fractional factorial designs and related combinatorial mathematics. Leading statisticians Aloke Dey and Rahul Mukerjee consolidate vast amounts of material from the professional literature--expertly weaving fractional replication, orthogonal arrays, and optimality aspects. They develop the basic theory of fractional factorials using the calculus of factorial arrangements, thereb 410 0$aWiley series in probability and statistics.$pProbability and statistics. 606 $aExperimental design 606 $aFactorial experiment designs 615 0$aExperimental design. 615 0$aFactorial experiment designs. 676 $a519.5 676 $a519.5354 700 $aDey$b Aloke$0460933 701 $aMukerjee$b Rahul$0250033 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144684603321 996 $aFractional factorial plans$92230639 997 $aUNINA