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