Statistical Design (Casella)

Data and R code are available at the author's website http://www.stat.ufl.edu/~casella/StatDesign.

A presentation from an ASA short course is available from the author's website.

Table of Contents

1 Basics

1.1 Introduction

1.2 Variance and Covariance

1.3 Partitioning Variation

1.4 Contrasts

1.5 Randomization, Layouts, and Designs

1.6 Replication: True and Technical

1.7 Exercises

1.8 Technical Notes

1.9 Miscellanea

2 Completely Randomized Designs

2.1 Introduction

2.1.1 A Oneway CRD Model

2.1.2 CRD and the Two-sample t-test

2.1.3 CRD Anova

2.2 Model and Distribution Assumptions

2.3 Expected Squares and F-tests

2.4 Estimating Contrasts

2.5 Deeper into Factorials

2.5.1 Investigating Interactions

2.5.2 Higher-Order Factorials

2.6 Adjusting for Covariates

2.7 Exercises

2.8 Technical Notes

2.9 Miscellanea

3 Complete Block Designs

3.1 Introduction

3.1.1 An RCB Model

3.1.2 RCB and the Paired t-test

3.1.3 The RCB Anova

3.2 Model and Distribution Assumptions

3.3 Expected Squares and F-tests

3.4 Estimating Contrasts

3.5 Modeling the Interaction

3.6 Variations on a Theme

3.6.1 Replicating the Experiment

3.6.2 Crossed Blocks

3.6.3 Latin Squares

3.7 Exercises

3.8 Technical Notes

3.9 Miscellanea

4 Interlude: Assessing the Effects of Blocking

4.1 Introduction

4.2 Model and Distribution Assumptions

4.3 Expected Squares and F-tests

4.4 Estimating Contrasts

4.5 Modeling the Interaction

4.6 Reconciliation

4.7 Exercises

4.8 Technical Notes

4.9 Miscellanea

5 Split Plot Designs

5.1 Introduction

5.1.1 A Split Plot Model

5.1.2 Dissecting the Split Plot

5.2 CRD on the Whole Plots

5.2.1 Model and Distribution Assumptions

5.2.2 Expected Squares and F-tests

5.2.3 Estimating Contrasts

5.3 RCB on the Whole Plots

5.3.1 Model and Distribution Assumptions

5.3.2 Expected Squares and F-tests

5.3.3 Estimating Contrasts

5.4 Estimating Effects

5.5 Splitting Twice

5.6 Variations on a Theme

5.6.1 Strip Plots

5.6.2 Crossover Designs

5.6.3 Repeated Measures

5.7 Exercises

5.8 Technical Notes

5.9 Miscellanea

6 Confounding in Blocks

6.1 Introduction

6.2 Balanced Incomplete Block Designs

6.2.1 Model and Distribution Assumptions

6.2.2 Estimating Contrasts

6.3 Fractional Factorial Designs

6.4 Variations on a Theme

6.5 Exercises

6.6 Miscellanea

A Designs Illustrated

References

Author Index

Subject Index