What is included with this book?
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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