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Preface | |
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The Experiment, the Design, and the Analysis | |
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Introduction to Experimental Design | |
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The Experiment | |
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The Design | |
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The Analysis | |
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Examples | |
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Summary in Outline | |
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Further ReadingProblems | |
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Review of Statistical Inference | |
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Introduction | |
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Estimation | |
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Tests of Hypothesis | |
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The Operating Characteristic Curve | |
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How Large a Sample? | |
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Application to Tests on Variances | |
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Application to Tests on Means | |
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Assessing Normality | |
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Applications to Tests on Proportions | |
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Analysis of Experiments with SAS | |
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Further ReadingProblems | |
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Single-Factor Experiments with No Restrictions on Randomization | |
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Introduction | |
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Analysis of Variance Rationale | |
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After ANOVA--What? | |
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Tests on Means | |
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Confidence Limits on Means | |
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Components of Variance | |
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Checking the Model | |
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SAS Programs for ANOVA and Tests after ANOVA | |
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Summary | |
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Further ReadingProblems | |
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Single-Factor Experiments: Randomized Block and Latin Square Designs | |
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Introduction | |
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Randomized Complete Block Design | |
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ANOVA Rationale | |
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Missing Values | |
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Latin Squares | |
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Interpretations | |
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Assessing the Model | |
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Graeco-Latin Squares | |
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Extensions | |
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SAS Programs for Randomized Blocks and Latin Squares | |
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Summary | |
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Further ReadingProblems | |
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Factorial Experiments | |
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Introduction | |
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Factorial Experiments: An Example | |
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Interpretations | |
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The Model and Its Assessment | |
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ANOVA Rationale | |
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One Observation Per Treatment | |
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SAS Programs for Factorial Experiments | |
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Summary | |
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Further ReadingProblems | |
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Fixed, Random, and Mixed Models | |
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Introduction | |
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Single-Factor Models | |
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Two-Factor Models | |
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EMS Rules | |
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EMS Derivations | |
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The Pseudo-F Test | |
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Expected Mean Squares Via Statistical Computing Packages | |
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Remarks | |
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Repeatability and Reproducibility for a Measurement System | |
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SAS Problems for Random and Mixed Models | |
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Further ReadingProblems | |
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Nested and Nested-Factorial Experiments | |
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Introduction | |
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Nested Experiments | |
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ANOVA Rationale | |
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Nested-Factorial Experiments | |
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Repeated-Measures Design and Nested-Factorial Experiments | |
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SAS Programs for Nested and Nested-Factorial Experiments | |
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SummaryFurther ReadingProblems | |
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Experiments of Two or More Factors: Restrictions on Randomization | |
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Introduction | |
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Factorial Experiment in a Randomized Block Design | |
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Factorial Experiment in a Latin Square Design | |
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Remarks | |
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SAS Programs | |
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SummaryProblems | |
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2f Factorial Experiments | |
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Introduction | |
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2 Squared Factorial | |
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2 Cubed Factorial | |
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2f Remarks | |
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The Yates Method | |
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Analysis of 2f Factorials When n=1 | |
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Some Commments about Computer Use | |
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Summary | |
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Further ReadingProblems | |
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3f Factorial Experiments | |
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Introduction | |
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3 Squared Factorial | |
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3 Cubed Factorial | |
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Computer Programs | |
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SummaryProblems | |
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Factorial Experiment: Split-Plot Design | |
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Introduction | |
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A Split-Plot Design | |
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A Split-Split-Plot Design | |
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Using SAS to Analyze a Split-Plot Experiment | |
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Summary | |
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Further ReadingProblems | |
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Factorial Experiment: Confounding in Blocks | |
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Introduction | |
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Confounding Systems | |
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Block Confounding, No Replication | |
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Block Confounding with Replication | |
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Confounding in 3F Factorials | |
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SAS Progrms | |
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Summary | |
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Further ReadingProblems | |
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Fractional Replication | |
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Introduction | |
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Aliases | |
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2f Fractional Replications | |
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Plackett-Burman Designs | |
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Design Resolution | |
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3f-k Fractional Factorials | |
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SAS Programs | |
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Summary | |
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Further ReadingProblems | |
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The Taguchi Approach to the Design of Experiments | |
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Introduction | |
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The L4 (2 Cubed) Orthogonal Array | |
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Outer Arrays | |
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Signal-To-Noise Ratio | |
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The L8 (2 7) Orthogonal Array | |
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The L16 (2 15) Orthogonal Array | |
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The L9 (3 4) Orthogonal Array | |
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Some Other Taguchi Designs | |
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Summary | |
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Further ReadingProblems | |
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Regression | |
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Introduction | |
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Linear Regression | |
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Curvilinear Regression | |
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Orthogonal Polynomials | |
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Multiple Regression | |
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Summa | |