Preface | p. xi |

About the Author | p. xiii |

Research Strategies and the Control of Nuisance Variables | p. 1 |

Introduction | p. 1 |

Formulation of Plans for the Collection and Analysis of Data | p. 2 |

Research Strategies | p. 6 |

Other Research Strategies | p. 9 |

Threats to Valid Inference Making | p. 16 |

Other Threats to Valid Inference Making | p. 19 |

Controlling Nuisance Variables and Minimizing Threats to Valid Inference Making | p. 21 |

Ethical Treatment of Subjects | p. 24 |

Review Exercises | p. 26 |

Experimental Designs: An Overview | p. 30 |

Introduction | p. 30 |

Overview of Some Basic Experimental Designs | p. 30 |

Classification of Analysis of Variance Designs | p. 45 |

Selecting an Appropriate Design | p. 48 |

Review of Statistical Inference | p. 49 |

Review Exercises | p. 70 |

Fundamental Assumptions in Analysis of Variance | p. 77 |

Sampling Distributions in Analysis of Variance | p. 77 |

Partition of the Total Sum of Squares | p. 86 |

Expectation of the Mean Squares | p. 92 |

The F Statistic in Analysis of Variance | p. 95 |

Effects of Failure to Meet Assumptions in Analysis of Variance | p. 96 |

Transformations | p. 103 |

Other Procedures for Dealing With Nonnormality, Unequal Variances, and Outliers | p. 108 |

Supplement for Section 3.3 | p. 111 |

Review Exercises | p. 117 |

Completely Randomized Design | p. 125 |

Description of the Design | p. 125 |

Exploratory Data Analysis | p. 127 |

Computational Example for CR-4 Design | p. 131 |

Measures of Strength of Association and Effect Size | p. 134 |

Power and the Determination of Sample Size | p. 138 |

Random-Effects Model | p. 145 |

Advantages and Disadvantages of CR-p Design | p. 146 |

Review Exercises | p. 146 |

Multiple Comparison Tests | p. 154 |

Introduction to Multiple Comparison Tests | p. 154 |

Procedures for Testing p - 1 a Priori Orthogonal Contrasts | p. 170 |

Procedures for Testing p - 1 Contrasts Involving a Control Group Mean | p. 176 |

Procedures for Testing C a Priori Nonorthogonal Contrasts | p. 179 |

Procedures for Testing All Pairwise Contrasts | p. 187 |

Testing All Contrasts Suggested by an Inspection of the Data | p. 198 |

Other Multiple Comparison Procedures | p. 200 |

Comparison of Multiple Comparison Procedures | p. 201 |

Review Exercises | p. 201 |

Trend Analysis | p. 209 |

Introduction to Tests for Trends | p. 209 |

Test for the Linear Trend Contrast | p. 211 |

Tests for Higher-Order Trend Contrasts | p. 218 |

Linear and Curvilinear Correlation | p. 225 |

Variance Accounted for by Mean Contrasts | p. 225 |

Review Exercises | p. 227 |

General Linear Model Approach to ANOVA | p. 233 |

Comparison of Analysis of Variance and Multiple Regression | p. 233 |

Operations With Vectors and Matrices | p. 234 |

General Linear Model | p. 244 |

Estimating the Parameters in a Regression Model | p. 247 |

Regression Model Approach to ANOVA | p. 253 |

Alternative Conception of the Test of ß_{1} = ß_{2} = … = ß_{h-1} = 0 | p. 262 |

Cell Means Model Approach to ANOVA | p. 266 |

Summary | p. 272 |

Review Exercises | p. 272 |

Randomized Block Designs | p. 280 |

Description of Randomized Block Design | p. 280 |

Computational Example for RB-p Design | p. 288 |

Alternative Models for RB-p Design | p. 296 |

Some Assumptions Underlying RB-p Design | p. 303 |

Procedures for Testing Differences Among Means | p. 314 |

Tests for Trends | p. 319 |

Relative Efficiency of Randomized Block Design | p. 321 |

Cell Mean Model Approach to the RB-p Design | p. 322 |

Generalized Randomized Block Design | p. 336 |

Advantages and Disadvantages of RB-p and GRB-p Designs | p. 343 |

Review Exercises | p. 344 |

Completely Randomized Factorial Design With Two Treatments | p. 357 |

Introduction to Factorial Designs | p. 357 |

Description of Completely Randomized Factorial Design | p. 357 |

Computational Example for CRF-pq Design | p. 360 |

Experimental Design Model for CRF-pq Design | p. 368 |

Procedures for Testing Differences Among Means | p. 372 |

More on the Interpretation of Interactions | p. 373 |

Tests for Trends | p. 386 |

Estimating Strength of Association, Effect Size, Power, and Sample Size | p. 395 |

Rules for Deriving Expected Values of Mean Squares | p. 400 |

Quasi F Statistics | p. 404 |

Preliminary Tests on the Model and Pooling Procedures | p. 406 |

Analysis of Completely Randomized Factorial Designs With n = 1 | p. 409 |

Cell Means Model Approach to Completely Randomized Factorial Design | p. 411 |

Analysis of Completely Randomized Factorial Designs With Missing Observations and Empty Cells | p. 422 |

Advantages and Disadvantages of Factorial Designs | p. 431 |

Review Exercises | p. 432 |

Completely Randomized Factorial Design With Three or More Treatments and Randomized Block Factorial Design | p. 439 |

Introduction to CRF-pqr Design | p. 439 |

Computational Example for CRF-pqr Design | p. 441 |

Patterns Underlying Sum-of-Squares Formulas | p. 448 |

Formulating Coefficient Matrices for the Cell Means Model | p. 451 |

Introduction to Randomized Block Factorial Design | p. 458 |

Computational Example for RBF-pq Design | p. 460 |

Expected Value of Mean Squares and the Sphericity Conditions | p. 465 |

Cell Means Model Approach to Randomized Block Factorial Design | p. 469 |

Minimizing Time and Location Effects by Using a Randomized Block Factorial Design | p. 484 |

Review Exercises | p. 485 |

Hierarchical Designs | p. 489 |

Introduction to Hierarchical Designs | p. 489 |

Computational Example for CKH-pq(A) Design | p. 492 |

Experimental Design Model for CRH-pq(A) Design | p. 496 |

Procedures for Testing Differences Among Means | p. 498 |

Estimating Strength of Association, Effect Size, Power, and Sample Size | p. 500 |

Description of Other Completely Randomized Hierarchical Designs | p. 502 |

Cell Means Model for Completely Randomized Hierarchical Design | p. 515 |

Cell Means Model for Randomized Block Hierarchical! Design | p. 521 |

Advantages and Disadvantages of Hierarchical Designs | p. 530 |

Review Exercises | p. 531 |

Split-Plot Factorial Design: Design With Group-Treatment Confounding | p. 541 |

Description of Split-Plot Factorial Design | p. 541 |

Computational Example for SW-p·q Design | p. 544 |

Experimental Design Model for SPF-p·q Design | p. 550 |

Some Assumptions Underlying SFF-p·q Design | p. 555 |

Procedures for Testing Differences Among Means | p. 560 |

Procedures for Testing Hypotheses About Simple Main Effects and Treatment-Contrast Interactions | p. 566 |

Relative Efficiency of Split-Plot Factorial Design | p. 569 |

Computational Procedures for SPF-pr·q Design | p. 570 |

Computational Procedures for SW-prt·q Design | p. 579 |

Computational Procedures for SPF-p·qr Design | p. 583 |

Computational Procedures for STF-p·qrt Design | p. 590 |

Computational Procedures for SW-pr·qt Design | p. 595 |

Evaluation of Sequence Effects | p. 595 |

Cell Means Model Approach to SPF-p·g Design | p. 597 |

Advantages and Disadvantages of Split-Plot Factorial Designs | p. 613 |

Review Exercises | p. 613 |

Analysis of Covariance | p. 621 |

Introduction to Analysis of Covariance | p. 621 |

Rationale Underlying Covariate Adjustment | p. 625 |

Layout and Computational Procedures for CRAC-p Design | p. 633 |

Some Assumptions Underlying CRAC-p Design | p. 637 |

Procedures for Testing Differences Among Means in CRAC-p Design | p. 640 |

Analysis With Two Covariates | p. 642 |

Analysis of Covariance for Randomized Block Design | p. 646 |

Analysis of Covariance for Factorial Designs | p. 648 |

Covariance Versus Stratification | p. 654 |

Regression Model Approach to Analysis of Covariance | p. 656 |

Cell Means Model Approach to Analysis of Covariance | p. 660 |

Advantages and Disadvantages of Analysis of Covariance | p. 663 |

Review Exercises | p. 664 |

Latin Square and Related Designs | p. 671 |

Description of Latin Square Design | p. 671 |

Construction and Randomization of Latin Squares | p. 672 |

Computational Example for Latin Square Design | p. 675 |

Computational Procedures for n = 1 | p. 681 |

Experimental Design Model for Latin Square Design | p. 684 |

Procedures for Testing Differences Among Means | p. 687 |

Relative Efficiency of Latin Square Design With n = 1 | p. 687 |

Analysis of Covariance for Latin Square Design | p. 690 |

Cell Means Model Approach to Latin Square Design | p. 692 |

Graeco-Latin Square Design | p. 700 |

Hyper-Graeco-Latin Square Designs | p. 702 |

Crossover Design | p. 703 |

Advantages and Disadvantages of Designs Based on a Latin Square | p. 710 |

Review Exercises | p. 711 |

Confounded Factorial Designs: Designs With Group-Interaction Confounding | p. 719 |

Group-Interaction Confounding | p. 719 |

Use of Modular Arithmetic in Constructing Confounded Designs | p. 722 |

Computational Procedures for RBCF-2^{2} Design | p. 726 |

Experimental Design Model for RBCF-2^{2} Design | p. 729 |

Layout and Analysis for RBCF-2^{3} Design | p. 732 |

Complete Versus Partial Confounding | p. 739 |

Computational Procedures for RBPF-2^{3} Design | p. 740 |

Computational Procedures for RBCF-3^{2} and RBPF-3^{2} Designs | p. 749 |

Analysis Procedures for Higher-Order Confounded Designs | p. 760 |

Alternative Notation and Computational Systems | p. 772 |

Computational Procedures for RBPF-32^{2} Design | p. 775 |

Cell Means Model Approach to RBCF-p^{k} Design | p. 785 |

Group-Interaction Confounding by Means of a Latin Square | p. 787 |

Advantages and Disadvantages of Confounding in Factorial Designs | p. 793 |

Review Exercises | p. 796 |

Fractional Factorial Designs: Designs With Treatment-Interaction Confounding | p. 803 |

Introduction to Fractional Factorial Designs | p. 803 |

General Procedures for Constructing Completely Randomized Fractional Factorial Designs | p. 805 |

Computational Procedures for CRFF-2^{4-1} Design | p. 810 |

Computational Procedures for CRFF-3^{4-1} Design | p. 814 |

Cell Means Model for CRFF-p^{k-i} Design | p. 820 |

General Procedures for Constructing RBFF-p^{k-i} Designs | p. 823 |

Other Types of CRFF and RBFF Designs | p. 824 |

Introduction to Latin Square Fractional Factorial Designs | p. 825 |

Computational Procedures for LSFF-p·p^{2} Design | p. 828 |

Computational Procedures for LSFF-p^{3}t Design | p. 832 |

Computational Procedures for LSFF-p^{4}u Design | p. 838 |

Computational Procedures for GLSFF-p^{3} Design | p. 840 |

Advantages and Disadvantages of Fractional Factorial Designs | p. 841 |

Review Exercises | p. 842 |

Rules of Summation | p. 847 |

Rules of Expectation, Variance, and Covariance | p. 852 |

Orthogonal Coefficients for Unequal Intervals and Unequal ns | p. 858 |

Matrix Algebra | p. 863 |

Tables | p. 891 |

Answers to Starred Exercises | p. 952 |

References | p. 1035 |

Index | p. 1048 |

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