ANOVA and Mixed Models: A Short Introduction Using R

Cover
Half Title
Series Page
Title Page
Copyright Page
Dedication
Contents
Preface
1. Learning from Data
	1.1. Cause-Effect Relationships
	1.2. Experimental Studies
		1.2.1. Predictors or Treatments
		1.2.2. Randomization
		1.2.3. Experimental and Measurement Units
		1.2.4. Response
		1.2.5. Experimental Error
		1.2.6. More Terminology
		1.2.7. A Few Examples
2. Completely Randomized Designs
	2.1. One-Way Analysis of Variance
		2.1.1. Cell Means Model
		2.1.2. Parameter Estimation
		2.1.3. Tests
	2.2. Checking Model Assumptions
		2.2.1. Residual Analysis
		2.2.2. Transformations Affect Interpretation
		2.2.3. Checking the Experimental Design and Reports
	2.3. Nonparametric Approaches
	2.4. Power or “What Sample Size Do I Need?”
		2.4.1. Introduction
		2.4.2. Calculating Power for a Certain Design
	2.5. Adjusting for Covariates
	2.6. Appendix
		2.6.1. Ordered Factors: Polynomial Encoding Scheme
		2.6.2. Connection to Regression
3. Contrasts and Multiple Testing
	3.1. Contrasts
		3.1.1. Introduction
		3.1.2. Some Technical Details
	3.2. Multiple Testing
		3.2.1. Bonferroni
		3.2.2. Bonferroni-Holm
		3.2.3. Scheffé
		3.2.4. Tukey Honest Significant Differences
		3.2.5. Multiple Comparisons with a Control
		3.2.6. FAQ
4. Factorial Treatment Structure
	4.1. Introduction
	4.2. Two-Way ANOVA Model
		4.2.1. Parameter Estimation
		4.2.2. Tests
		4.2.3. Single Observations per Cell
		4.2.4. Checking Model Assumptions
		4.2.5. Unbalanced Data
	4.3. Outlook
		4.3.1. More Than Two Factors
		4.3.2. Nonparametric Alternatives
5. Complete Block Designs
	5.1. Introduction
	5.2. Randomized Complete Block Designs
	5.3. Nonparametric Alternatives
	5.4. Outlook: Multiple Block Factors
6. Random and Mixed Effects Models
	6.1. Random Effects Models
		6.1.1. One-Way ANOVA
		6.1.2. More Than One Factor
		6.1.3. Nesting
	6.2. Mixed Effects Models
		6.2.1. Example: Machines Data
		6.2.2. Example: Chocolate Data
		6.2.3. Outlook
7. Split-Plot Designs
	7.1. Introduction
	7.2. Properties of Split-Plot Designs
	7.3. A More Complex Example in Detail: Oat Varieties
8. Incomplete Block Designs
	8.1. Introduction
	8.2. Balanced Incomplete Block Designs
	8.3. Analysis of Incomplete Block Designs
		8.3.1. Example: Taste Data
		8.3.2. Intraand Inter-block Analysis
	8.4. Outlook
	8.5. Concluding Remarks
Bibliography
Index