{"product_id":"design-and-analysis-of-experiments-volume-2-advanced-experimental-design-hardback-9780471551775","title":"Design and Analysis of Experiments, Volume 2; Advanced Experimental Design (Hardback) 9780471551775","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDesign and Analysis of Experiments, Volume 2\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAdvanced Experimental Design\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eKlaus Hinkelmann (Author), Oscar Kempthorne (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471551775, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 27 May 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e816 pages, Graphs: 2 B\u0026amp;W, 0 Color\u003cbr\u003e23.9 x 16.3 x 5.1 cm, 1.293 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"…a massively impressive work of scholarship…\" (\u003ci\u003eShort Book Reviews\u003c\/i\u003e, December 2006)  \u003cp\u003e\"...a broad and in-depth book...covers not only classic but also up-to-date results and references, making it convenient for researchers. It is one of the very few advanced textbooks on experimental design...\" (\u003ci\u003eTechnometrics\u003c\/i\u003e, November 2006)\u003c\/p\u003e \u003cp\u003e\"I suspect this excellent book will be used most often by specialists in design...the book's importance is largely as a reference for experts...or as an independent learning tool…\" (\u003ci\u003eJournal of the American Statistical Association\u003c\/i\u003e, June 2006)\u003c\/p\u003e \u003cp\u003e\"I would expect HK to attain essentially the same stature and appeal to virtually the same markets as the 1952 edition.\" (\u003ci\u003eJournal of Quality Technology\u003c\/i\u003e, January 2006)\u003c\/p\u003e \u003cp\u003e\"…the authors have done a commendable job in putting together the vast amount of literature that is available on the topics…of great value to students, and also to teachers and researchers.\" (\u003ci\u003eMathematical Reviews\u003c\/i\u003e, 2006b)\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eThe development and introduction of new experimental designs in the last fifty years has been quite staggering, brought about largely by an ever-widening field of applications. \u003ci\u003eDesign and Analysis of Experiments\u003c\/i\u003e, Volume 2: Advanced Experimental Design is the second of a two-volume body of work that builds upon the philosophical foundations of experimental design set forth by Oscar Kempthorne half a century ago and updates it with the latest developments in the field. Designed for advanced-level graduate students and industry professionals, this text includes coverage of incomplete block and row-column designs; symmetrical, asymmetrical, and fractional factorial designs; main effect plans and their construction; supersaturated designs; robust design, or Taguchi experiments; lattice designs; and cross-over designs.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xix\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 General Incomplete Block Design 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Introduction and Examples 1\u003c\/p\u003e \u003cp\u003e1.2 General Remarks on the Analysis of Incomplete Block Designs 3\u003c\/p\u003e \u003cp\u003e1.3 The Intrablock Analysis 4\u003c\/p\u003e \u003cp\u003e1.4 Incomplete Designs with Variable Block Size 13\u003c\/p\u003e \u003cp\u003e1.5 Disconnected Incomplete Block Designs 14\u003c\/p\u003e \u003cp\u003e1.6 Randomization Analysis 16\u003c\/p\u003e \u003cp\u003e1.7 Interblock Information in an Incomplete Block Design 23\u003c\/p\u003e \u003cp\u003e1.8 Combined Intra- and Interblock Analysis 27\u003c\/p\u003e \u003cp\u003e1.9 Relationships Among Intrablock Interblock and Combined Estimation 31\u003c\/p\u003e \u003cp\u003e1.10 Estimation of Weights for the Combined Analysis 36\u003c\/p\u003e \u003cp\u003e1.11 Maximum-Likelihood Type Estimation 39\u003c\/p\u003e \u003cp\u003e1.12 Efficiency Factor of an Incomplete Block Design 43\u003c\/p\u003e \u003cp\u003e1.13 Optimal Designs 48\u003c\/p\u003e \u003cp\u003e1.14 Computational Procedures 52\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Balanced Incomplete Block Designs 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 71\u003c\/p\u003e \u003cp\u003e2.2 Definition of the BIB Design 71\u003c\/p\u003e \u003cp\u003e2.3 Properties of BIB Designs 72\u003c\/p\u003e \u003cp\u003e2.4 Analysis of BIB Designs 74\u003c\/p\u003e \u003cp\u003e2.5 Estimation of \u003ci\u003eρ\u003c\/i\u003e 77\u003c\/p\u003e \u003cp\u003e2.6 Significance Tests 79\u003c\/p\u003e \u003cp\u003e2.7 Some Special Arrangements 89\u003c\/p\u003e \u003cp\u003e2.8 Resistant and Susceptible BIB Designs 98\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Construction of Balanced Incomplete Block Designs 104\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 104\u003c\/p\u003e \u003cp\u003e3.2 Difference Methods 104\u003c\/p\u003e \u003cp\u003e3.3 Other Methods 113\u003c\/p\u003e \u003cp\u003e3.4 Listing of Existing BIB Designs 115\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Partially Balanced Incomplete Block Designs 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 119\u003c\/p\u003e \u003cp\u003e4.2 Preliminaries 119\u003c\/p\u003e \u003cp\u003e4.3 Definition and Properties of PBIB Designs 123\u003c\/p\u003e \u003cp\u003e4.4 Association Schemes and Linear Associative Algebras 127\u003c\/p\u003e \u003cp\u003e4.5 Analysis of PBIB Designs 131\u003c\/p\u003e \u003cp\u003e4.6 Classification of PBIB Designs 137\u003c\/p\u003e \u003cp\u003e4.7 Estimation of ρ for PBIB(2) Designs 155\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Construction of Partially Balanced Incomplete Block Designs 158\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Group-Divisible PBIB(2) Designs 158\u003c\/p\u003e \u003cp\u003e5.2 Construction of Other PBIB(2) Designs 165\u003c\/p\u003e \u003cp\u003e5.3 Cyclic PBIB Designs 167\u003c\/p\u003e \u003cp\u003e5.4 Kronecker Product Designs 172\u003c\/p\u003e \u003cp\u003e5.5 Extended Group-Divisible PBIB Designs 178\u003c\/p\u003e \u003cp\u003e5.6 Hypercubic PBIB Designs 187\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 More Block Designs and Blocking Structures 189\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 189\u003c\/p\u003e \u003cp\u003e6.2 Alpha Designs 190\u003c\/p\u003e \u003cp\u003e6.3 Generalized Cyclic Incomplete Block Designs 193\u003c\/p\u003e \u003cp\u003e6.4 Designs Based on the Successive Diagonalizing Method 194\u003c\/p\u003e \u003cp\u003e6.5 Comparing Treatments with a Control 195\u003c\/p\u003e \u003cp\u003e6.6 Row–Column Designs 213\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Two-Level Factorial Designs 241\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 241\u003c\/p\u003e \u003cp\u003e7.2 Case of Two Factors 241\u003c\/p\u003e \u003cp\u003e7.3 Case of Three Factors 248\u003c\/p\u003e \u003cp\u003e7.4 General Case 253\u003c\/p\u003e \u003cp\u003e7.5 Interpretation of Effects and Interactions 260\u003c\/p\u003e \u003cp\u003e7.6 Analysis of Factorial Experiments 262\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Confounding in 2 n Factorial Designs 279\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 279\u003c\/p\u003e \u003cp\u003e8.2 Systems of Confounding 283\u003c\/p\u003e \u003cp\u003e8.3 Composition of Blocks for a Particular System of Confounding 289\u003c\/p\u003e \u003cp\u003e8.4 Detecting a System of Confounding 291\u003c\/p\u003e \u003cp\u003e8.5 Using SAS for Constructing Systems of Confounding 293\u003c\/p\u003e \u003cp\u003e8.6 Analysis of Experiments with Confounding 293\u003c\/p\u003e \u003cp\u003e8.7 Interblock Information in Confounded Experiments 303\u003c\/p\u003e \u003cp\u003e8.8 Numerical Example Using SAS 311\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Partial Confounding in 2 n Factorial Designs 312\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 312\u003c\/p\u003e \u003cp\u003e9.2 Simple Case of Partial Confounding 312\u003c\/p\u003e \u003cp\u003e9.3 Partial Confounding as an Incomplete Block Design 318\u003c\/p\u003e \u003cp\u003e9.4 Efficiency of Partial Confounding 323\u003c\/p\u003e \u003cp\u003e9.5 Partial Confounding in a 2\u003csup\u003e3\u003c\/sup\u003e Experiment 324\u003c\/p\u003e \u003cp\u003e9.6 Partial Confounding in a 2\u003csup\u003e4\u003c\/sup\u003e Experiment 327\u003c\/p\u003e \u003cp\u003e9.7 General Case 329\u003c\/p\u003e \u003cp\u003e9.8 Double Confounding 335\u003c\/p\u003e \u003cp\u003e9.9 Confounding in Squares 336\u003c\/p\u003e \u003cp\u003e9.10 Numerical Examples Using SAS 338\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Designs with Factors at Three Levels 359\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 359\u003c\/p\u003e \u003cp\u003e10.2 Definition of Main Effects and Interactions 359\u003c\/p\u003e \u003cp\u003e10.3 Parameterization in Terms of Main Effects and Interactions 365\u003c\/p\u003e \u003cp\u003e10.4 Analysis of 3\u003csup\u003en\u003c\/sup\u003e Experiments 366\u003c\/p\u003e \u003cp\u003e10.5 Confounding in a 3\u003csup\u003en\u003c\/sup\u003e Factorial 368\u003c\/p\u003e \u003cp\u003e10.6 Useful Systems of Confounding 374\u003c\/p\u003e \u003cp\u003e10.7 Analysis of Confounded 3\u003csup\u003en\u003c\/sup\u003e Factorials 380\u003c\/p\u003e \u003cp\u003e10.8 Numerical Example 387\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 General Symmetrical Factorial Design 393\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 393\u003c\/p\u003e \u003cp\u003e11.2 Representation of Effects and Interactions 395\u003c\/p\u003e \u003cp\u003e11.3 Generalized Interactions 396\u003c\/p\u003e \u003cp\u003e11.4 Systems of Confounding 398\u003c\/p\u003e \u003cp\u003e11.5 Intrablock Subgroup 400\u003c\/p\u003e \u003cp\u003e11.6 Enumerating Systems of Confounding 402\u003c\/p\u003e \u003cp\u003e11.7 Fisher Plans 403\u003c\/p\u003e \u003cp\u003e11.8 Symmetrical Factorials and Finite Geometries 409\u003c\/p\u003e \u003cp\u003e11.9 Parameterization of Treatment Responses 410\u003c\/p\u003e \u003cp\u003e11.10 Analysis of \u003ci\u003ep\u003csup\u003en\u003c\/sup\u003e\u003c\/i\u003e Factorial Experiments           412\u003c\/p\u003e \u003cp\u003e11.11 Interblock Analysis 421\u003c\/p\u003e \u003cp\u003e11.12 Combined Intra- and Interblock Information 426\u003c\/p\u003e \u003cp\u003e11.13 The s\u003csup\u003en\u003c\/sup\u003e Factorial 431\u003c\/p\u003e \u003cp\u003e11.14 General Method of Confounding for the Symmetrical Factorial Experiment 447\u003c\/p\u003e \u003cp\u003e11.15 Choice of Initial Block 463\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Confounding in Asymmetrical Factorial Designs 466\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction 466\u003c\/p\u003e \u003cp\u003e12.2 Combining Symmetrical Systems of Confounding 467\u003c\/p\u003e \u003cp\u003e12.3 The GC\/\u003ci\u003en\u003c\/i\u003e Method 477\u003c\/p\u003e \u003cp\u003e12.4 Method of Finite Rings 480\u003c\/p\u003e \u003cp\u003e12.5 Balanced Factorial Designs (BFD) 491\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Fractional Factorial Designs 507\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 507\u003c\/p\u003e \u003cp\u003e13.2 Simple Example of Fractional Replication 509\u003c\/p\u003e \u003cp\u003e13.3 Fractional Replicates for 2\u003csup\u003en\u003c\/sup\u003e Factorial Designs 513\u003c\/p\u003e \u003cp\u003e13.4 Fractional Replicates for 3\u003csup\u003en\u003c\/sup\u003e Factorial Designs 524\u003c\/p\u003e \u003cp\u003e13.5 General Case of Fractional Replication 529\u003c\/p\u003e \u003cp\u003e13.6 Characterization of Fractional Factorial Designs of Resolution III IV and V 536\u003c\/p\u003e \u003cp\u003e13.7 Fractional Factorials and Combinatorial Arrays 547\u003c\/p\u003e \u003cp\u003e13.8 Blocking in Fractional Factorials 549\u003c\/p\u003e \u003cp\u003e13.9 Analysis of Unreplicated Factorials 558\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Main Effect Plans 564\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Introduction 564\u003c\/p\u003e \u003cp\u003e14.2 Orthogonal Resolution III Designs for Symmetrical Factorials 564\u003c\/p\u003e \u003cp\u003e14.3 Orthogonal Resolution III Designs for Asymmetrical Factorials 582\u003c\/p\u003e \u003cp\u003e14.4 Nonorthogonal Resolution III Designs 594\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Supersaturated Designs 596\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Introduction and Rationale 596\u003c\/p\u003e \u003cp\u003e15.2 Random Balance Designs 596\u003c\/p\u003e \u003cp\u003e15.3 Definition and Properties of Supersaturated Designs 597\u003c\/p\u003e \u003cp\u003e15.4 Construction of Two-Level Supersaturated Designs 598\u003c\/p\u003e \u003cp\u003e15.5 Three-Level Supersaturated Designs 603\u003c\/p\u003e \u003cp\u003e15.6 Analysis of Supersaturated Experiments 604\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Search Designs 608\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Introduction and Rationale 608\u003c\/p\u003e \u003cp\u003e16.2 Definition of Search Design 608\u003c\/p\u003e \u003cp\u003e16.3 Properties of Search Designs 609\u003c\/p\u003e \u003cp\u003e16.4 Listing of Search Designs 615\u003c\/p\u003e \u003cp\u003e16.5 Analysis of Search Experiments 617\u003c\/p\u003e \u003cp\u003e16.6 Search Probabilities 630\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Robust-Design Experiments 633\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Off-Line Quality Control 633\u003c\/p\u003e \u003cp\u003e17.2 Design and Noise Factors 634\u003c\/p\u003e \u003cp\u003e17.3 Measuring Loss 635\u003c\/p\u003e \u003cp\u003e17.4 Robust-Design Experiments 636\u003c\/p\u003e \u003cp\u003e17.5 Modeling of Data 638\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Lattice Designs 649\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Definition of Quasi-Factorial Designs 649\u003c\/p\u003e \u003cp\u003e18.2 Types of Lattice Designs 653\u003c\/p\u003e \u003cp\u003e18.3 Construction of One-Restrictional Lattice Designs 655\u003c\/p\u003e \u003cp\u003e18.4 General Method of Analysis for One-Restrictional Lattice Designs 657\u003c\/p\u003e \u003cp\u003e18.5 Effects of Inaccuracies in the Weights 661\u003c\/p\u003e \u003cp\u003e18.6 Analysis of Lattice Designs as Randomized Complete Block Designs 666\u003c\/p\u003e \u003cp\u003e18.7 Lattice Designs as Partially Balanced Incomplete Block Designs 669\u003c\/p\u003e \u003cp\u003e18.8 Lattice Designs with Blocks of Size K\u003csup\u003el\u003c\/sup\u003e 670\u003c\/p\u003e \u003cp\u003e18.9 Two-Restrictional Lattices 671\u003c\/p\u003e \u003cp\u003e18.10 Lattice Rectangles 678\u003c\/p\u003e \u003cp\u003e18.11 Rectangular Lattices 679\u003c\/p\u003e \u003cp\u003e18.12 Efficiency Factors 682\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Crossover Designs 684\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Introduction 684\u003c\/p\u003e \u003cp\u003e19.2 Residual Effects 685\u003c\/p\u003e \u003cp\u003e19.3 The Model 685\u003c\/p\u003e \u003cp\u003e19.4 Properties of Crossover Designs 687\u003c\/p\u003e \u003cp\u003e19.5 Construction of Crossover Designs 688\u003c\/p\u003e \u003cp\u003e19.6 Optimal Designs 695\u003c\/p\u003e \u003cp\u003e19.7 Analysis of Crossover Designs 699\u003c\/p\u003e \u003cp\u003e19.8 Comments on Other Models 706\u003c\/p\u003e \u003cp\u003eAppendix A Fields and Galois Fields 716\u003c\/p\u003e \u003cp\u003eAppendix B Finite Geometries 721\u003c\/p\u003e \u003cp\u003eAppendix C Orthogonal and Balanced Arrays 724\u003c\/p\u003e \u003cp\u003eAppendix D Selected Asymmetrical Balanced Factorial Designs 728\u003c\/p\u003e \u003cp\u003eAppendix E Exercises 736\u003c\/p\u003e \u003cp\u003eReferences 749\u003c\/p\u003e \u003cp\u003eAuthor Index 767\u003c\/p\u003e \u003cp\u003eSubject Index 771\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Interscience","offers":[{"title":"Brand 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