Practical Data Analysis for Designed Experiments

Preface Part A: Placing Data in Context Practical Data Analysis Effect of Factors Nature of Data Summary Tables Plots for Statistics Computing Interpretation Problems Collaboration in Science Asking Questions Learning from Plots Mechanics of a Consulting Session Philosophy and Ethics Intelligence, Culture and Learning Writing Problems Experimental Design Types of Studies Designed Experiments Design Structure Treatment Structure Designs in This Book Problems Part B: Working with Groups of Data Group Summaries Graphical Summaries Estimates of Means and Variance Assumptions and Pivot Statistics Interval Estimates of Means Testing Hypotheses about Means Formal Inference on the Variance Problems Comparing Several Means Linear Contrasts of Means Overall Test of Difference Partitioning Sums of Squares Expected Mean Squares Power and Sample Size Problems Multiple Comparisons of Means Experiment- and Comparison-Wise Error Rates Comparisons Based on F-Tests Comparisons Based on Range of Means Comparisons of Comparisons Problems Part C: Sorting Out Effects with Data Factorial Designs Cell Means Models Effects Models Estimable Functions Linear Constraints General Form of Estimable Functions Problems Balanced Experiments Additive Models Full Models with Two Factors Interaction Plots Higher Orders Models Problems Model Selection Pooling Interactions Selected the Best Model Model Selection Criteria One Observation per Cell Tukey's Test for Interaction Problems Part D: Dealing with Imbalance Unbalanced Experiments Unequal Samples Additive Model Types I, II, III and IV Problems Missing Cells What Are Missing Cells? Connected Cells and Incomplete Designs Type IV Comparisons Latin Square Designs Fractional Factorial Designs Problems Linear