{"product_id":"design-and-analysis-of-experiments-set-isbn-9780470385517","title":"Design and Analysis of Experiments Set","description":"\u003cp\u003eThis set includes \u003ca title=\"Information about this product: Design and Analysis of Experiments, Volume 1, Introduction to Experimental Design, 2nd Edition\" href=\"http:\/\/www.wiley.com\/WileyCDA\/WileyTitle\/productCd-0471727563.html\"\u003eDesign and Analysis of Experiments, Volume 1, Introduction to Experimental Design, 2nd Edition\u003c\/a\u003e \u0026amp; \u003ca title=\"Information about this product: Design and Analysis of Experiments, Volume 2, Advanced Experimental Design\" href=\"http:\/\/www.wiley.com\/WileyCDA\/WileyTitle\/productCd-0471551775.html\"\u003eDesign and Analysis of Experiments, Volume 2, Advanced Experimental Design\u003c\/a\u003e. \u003ca href=\"http:\/\/www.wiley.com\/WileyCDA\/WileyTitle\/productCd-1118395131.html\"\u003e\u003cbr\u003e\u003c\/a\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eDesign and Analysis of Experiments, Volume 1, Second Edition\u003c\/i\u003e provides a general introduction to the philosophy, theory, and practice of designing scientific comparative experiments and also details the intricacies that are often encountered throughout the design and analysis processes. With the addition of extensive numerical examples and expanded treatment of key concepts, this book further addresses the needs of practitioners and successfully provides a solid understanding of the relationship between the quality of experimental design and the validity of conclusions.\u003cbr\u003e\u003cbr\u003e\u003ci\u003eDesign and Analysis of Experiments, Volume 2: Advanced Experimental Design\u003c\/i\u003e is the second of a two-volume body of work that builds upon the philosophical foundations of experimental design set forth half a century ago by Oscar Kempthorne, and features the latest developments in the field.\u003c\/p\u003e \u003cb\u003eVOLUME 1 TOC:\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003e1. The Processes of Science.\u003c\/b\u003e \u003cp\u003e1.1 Introduction.\u003c\/p\u003e \u003cp\u003e1.2 Development of Theory.\u003c\/p\u003e \u003cp\u003e1.3 The Nature and Role of Theory in Science.\u003c\/p\u003e \u003cp\u003e1.4 Varieties of Theory.\u003c\/p\u003e \u003cp\u003e1.5 The Problem of General Science.\u003c\/p\u003e \u003cp\u003e1.6 Causality.\u003c\/p\u003e \u003cp\u003e1.7 The Upshot.\u003c\/p\u003e \u003cp\u003e1.8 What Is An Experiment?.\u003c\/p\u003e \u003cp\u003e1.9 Statistical Inference.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Principles of Experimental Design.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Confirmatory and Exploratory Experiments.\u003c\/p\u003e \u003cp\u003e2.2 Steps of Designed Investigations.\u003c\/p\u003e \u003cp\u003e2.3 The Linear Model.\u003c\/p\u003e \u003cp\u003e2.4 Illustrating Individual Steps: Study 1.\u003c\/p\u003e \u003cp\u003e2.5 Three Principles of Experimental Design.\u003c\/p\u003e \u003cp\u003e2.6 The Statistical Triangle and Study 2.\u003c\/p\u003e \u003cp\u003e2.7 Planning the Experiment.\u003c\/p\u003e \u003cp\u003e2.8 Cooperation between Scientist and Statistician.\u003c\/p\u003e \u003cp\u003e2.9 General Principle of Inference.\u003c\/p\u003e \u003cp\u003e2.10 Other Considerations for Experimental Designs.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Survey of Designs and Analyses.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction.\u003c\/p\u003e \u003cp\u003e3.2 Error-Control Designs.\u003c\/p\u003e \u003cp\u003e3.3 Treatment Designs.\u003c\/p\u003e \u003cp\u003e3.4 Combining Ideas.\u003c\/p\u003e \u003cp\u003e3.5 Sampling Designs.\u003c\/p\u003e \u003cp\u003e3.6 Analysis and Statistical Software.\u003c\/p\u003e \u003cp\u003e3.7 Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Linear Model Theory.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction.\u003c\/p\u003e \u003cp\u003e4.2 Representation of Linear Models.\u003c\/p\u003e \u003cp\u003e4.3 Functional and Classificatory Linear Models.\u003c\/p\u003e \u003cp\u003e4.4 The Fitting Of Y .= X_.\u003c\/p\u003e \u003cp\u003e4.5 The Moore-Penrose Generalized Inverse.\u003c\/p\u003e \u003cp\u003e4.6 The Conditioned Linear Model.\u003c\/p\u003e \u003cp\u003e4.7 The Two-Part Linear Model.\u003c\/p\u003e \u003cp\u003e4.8 A Special Case of a Partitioned Model.\u003c\/p\u003e \u003cp\u003e4.9 Three-Part Models.\u003c\/p\u003e \u003cp\u003e4.10 The Two-Way Classification Without Interaction.\u003c\/p\u003e \u003cp\u003e4.11 The K-Part Linear Model.\u003c\/p\u003e \u003cp\u003e4.12 Balanced Classificatory Structures.\u003c\/p\u003e \u003cp\u003e4.13 Unbalanced Data Structures.\u003c\/p\u003e \u003cp\u003e4.14 Analysis of Covariance Model.\u003c\/p\u003e \u003cp\u003e4.15 From Data Analysis to Statistical Inference.\u003c\/p\u003e \u003cp\u003e4.16 The Simple Normal Stochastic Linear Model.\u003c\/p\u003e \u003cp\u003e4.17 Distribution Theory with GMNLM.\u003c\/p\u003e \u003cp\u003e4.18 Mixed Models.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Randomization.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction.\u003c\/p\u003e \u003cp\u003e5.2 The Tea Tasting Lady.\u003c\/p\u003e \u003cp\u003e5.3 A Triangular Experiment.\u003c\/p\u003e \u003cp\u003e5.4 The Simple Arithmetical Experiment.\u003c\/p\u003e \u003cp\u003e5.5 Randomization Ideas for Intervention Experiments.\u003c\/p\u003e \u003cp\u003e5.6 The General Idea of the Experiment Randomization Test.\u003c\/p\u003e \u003cp\u003e5.7 Introduction to Subsequent.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. The Completely Randomized Design.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction and Definition.\u003c\/p\u003e \u003cp\u003e6.2 The Randomization Process.\u003c\/p\u003e \u003cp\u003e6.3 The Derived Linear Model.\u003c\/p\u003e \u003cp\u003e6.4 Analysis Of Variance.\u003c\/p\u003e \u003cp\u003e6.5 Statistical Tests.\u003c\/p\u003e \u003cp\u003e6.6 Approximating the Randomization Test.\u003c\/p\u003e \u003cp\u003e6.7 CRD with Unequal Numbers of Replications.\u003c\/p\u003e \u003cp\u003e6.8 Number of Replications.\u003c\/p\u003e \u003cp\u003e6.9 Subsampling In A CRD.\u003c\/p\u003e \u003cp\u003e6.10 Transformations.\u003c\/p\u003e \u003cp\u003e6.11 Examples Using SASR.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Comparisons of Treatments.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction.\u003c\/p\u003e \u003cp\u003e7.2 Comparisons for Qualitative Treatments.\u003c\/p\u003e \u003cp\u003e7.3 Orthogonality and Orthogonal Comparisons.\u003c\/p\u003e \u003cp\u003e7.4 Comparisons for Quantitative Treatments.\u003c\/p\u003e \u003cp\u003e7.5 Multiple Comparison Procedures.\u003c\/p\u003e \u003cp\u003e7.6 Grouping Treatments.\u003c\/p\u003e \u003cp\u003e7.7 Examples Using SAS.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8. Use of Supplementary Information.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction.\u003c\/p\u003e \u003cp\u003e8.2 Motivation of the Procedure.\u003c\/p\u003e \u003cp\u003e8.3 Analysis of Covariance Procedure.\u003c\/p\u003e \u003cp\u003e8.4 Treatment Comparisons.\u003c\/p\u003e \u003cp\u003e8.5 Violation of Assumptions.\u003c\/p\u003e \u003cp\u003e8.6 Analysis of Covariance with Subsampling.\u003c\/p\u003e \u003cp\u003e8.7 The Case of Several Covariates.\u003c\/p\u003e \u003cp\u003e8.8 Examples Using SAS\u003csub\u003eR\u003c\/sub\u003e.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. Randomized Block Designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction.\u003c\/p\u003e \u003cp\u003e9.2 Randomized Complete Block Design.\u003c\/p\u003e \u003cp\u003e9.3 Relative Efficiency of the RCBD.\u003c\/p\u003e \u003cp\u003e9.4 Analysis of Covariance.\u003c\/p\u003e \u003cp\u003e9.5 Missing Observations.\u003c\/p\u003e \u003cp\u003e9.6 Nonadditivity in the RCBD.\u003c\/p\u003e \u003cp\u003e9.7 The Generalized Randomized Block Design.\u003c\/p\u003e \u003cp\u003e9.8 Incomplete Block Designs.\u003c\/p\u003e \u003cp\u003e9.9 Systematic Block Designs.\u003c\/p\u003e \u003cp\u003e9.10 Examples Using SASR.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10. Latin Square Type Designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction and Motivation.\u003c\/p\u003e \u003cp\u003e10.2 Latin Square Design.\u003c\/p\u003e \u003cp\u003e10.3 Replicated Latin Squares.\u003c\/p\u003e \u003cp\u003e10.4 Latin Rectangles.\u003c\/p\u003e \u003cp\u003e10.5 Incomplete Latin Squares.\u003c\/p\u003e \u003cp\u003e10.6 Orthogonal Latin Squares.\u003c\/p\u003e \u003cp\u003e10.7 Change-Over Designs.\u003c\/p\u003e \u003cp\u003e10.8 Examples Using SAS.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11. Factorial Experiments: Basic Ideas.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction.\u003c\/p\u003e \u003cp\u003e11.2 Inferences from Factorial Experiments.\u003c\/p\u003e \u003cp\u003e11.3 Experiments with Factors at Two Levels.\u003c\/p\u003e \u003cp\u003e11.4 The Interpretation of Effects and Interactions.\u003c\/p\u003e \u003cp\u003e11.5 Interactions: A Case Study.\u003c\/p\u003e \u003cp\u003e11.6 2n Factorials in Incomplete Blocks.\u003c\/p\u003e \u003cp\u003e11.7 Fractions of 2n Factorials.\u003c\/p\u003e \u003cp\u003e11.8 Orthogonal Main Effect Plans for 2n Factorials.\u003c\/p\u003e \u003cp\u003e11.9 Experiments with Factors at Three Levels.\u003c\/p\u003e \u003cp\u003e11.10experimentswith Factors at Two and Three Levels.\u003c\/p\u003e \u003cp\u003e11.11examples Using SAS.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12. Response Surface Designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction.\u003c\/p\u003e \u003cp\u003e12.2 Formulation of the Problem.\u003c\/p\u003e \u003cp\u003e12.3 First-Order Models and Designs.\u003c\/p\u003e \u003cp\u003e12.4 Second-Order Models and Designs.\u003c\/p\u003e \u003cp\u003e12.5 Integrated Mean Squared Error Designs.\u003c\/p\u003e \u003cp\u003e12.6 Searching For an Optimum.\u003c\/p\u003e \u003cp\u003e12.7 Experiments with Mixtures.\u003c\/p\u003e \u003cp\u003e12.8 Examples Using SAS.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13. Split-Plot Type Designs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction.\u003c\/p\u003e \u003cp\u003e13.2 The Simple Split-Plot Design.\u003c\/p\u003e \u003cp\u003e13.3 Relative Efficiency of Split-Plot Design.\u003c\/p\u003e \u003cp\u003e13.4 Other Forms of Split-Plot Designs.\u003c\/p\u003e \u003cp\u003e13.5 Split-Block Design.\u003c\/p\u003e \u003cp\u003e13.6 The Split-Split-Plot Design.\u003c\/p\u003e \u003cp\u003e13.7 Examples Using SAS.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14. Designs with Repeated Measures.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Introduction.\u003c\/p\u003e \u003cp\u003e14.2 Methods for Analyzing Repeated Measures Data.\u003c\/p\u003e \u003cp\u003e14.3 Examples Using SAS.\u003c\/p\u003e \u003cp\u003e14.4 Exercises.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eVOLUME 2 TOC:\u003cbr\u003e\u003c\/b\u003e\u003cbr\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  \u003cp\u003e\u003cstrong\u003eKlaus Hinkelmann\u003c\/strong\u003e, PhD, is Emeritus Professor of Statistics in the Department of Statistics at Virginia Polytechnic Institute and State University. A Fellow of the American Statistical Association and the American Association for the Advancement of Science, Dr. Hinkelmann has published extensively in the areas of design of experiments, statistical methods, and biometry. \u003c\/p\u003e\u003cp\u003eThe late \u003cstrong\u003eOscar Kempthorne\u003c\/strong\u003e, ScD, was Emeritus Professor of Statistics and Emeritus Distinguished Professor of Liberal Arts and Sciences at Iowa State University. He was the recipient of many honors within the statistics profession.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989043167461,"sku":"NP9780470385517","price":355.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470385517.jpg?v=1761782557","url":"https:\/\/k12savings.com\/products\/design-and-analysis-of-experiments-set-isbn-9780470385517","provider":"K12savings","version":"1.0","type":"link"}