Research Design and Statistical Analysis provides comprehensive coverage of the design principles and statistical concepts necessary to make sense of real data. The book’s goal is to provide a strong conceptual foundation to enable readers to generalize concepts to new research situations. Emphasis is placed on the underlying logic and assumptions of the analysis and what it tells the researcher, the limitations of the analysis, and the consequences of violating assumptions. Sampling, design efficiency, and statistical models are emphasized throughout. As per APA recommendations, emphasis is also placed on data exploration, effect size measures, confidence intervals, and using power analyses to determine sample size. "Real-world" data sets are used to illustrate data exploration, analysis, and interpretation. The book offers a rare blend of the underlying statistical assumptions, the consequences of their violations, and practical advice on dealing with them.
- Introduction
- Looking at Data: Univariate Distributions
- Looking at Data: Relations between Quantitative Variables
- Probability and the Binomial Distribution
- Estimation and Hypothesis Tests: The Normal Distribution
- Estimation, Hypothesis Tests, and Effect Size: The t Distribution
- The Chi-Square and F Distributions
- Between-Subjects Designs: One Factor
- Contrasts among Means
- Trend Analysis
- Multifactor Between-Subjects Designs: Significance Tests in The Two-Way Case
- Multifactor Between-Subjects Designs: Further Developments
- Repeatad-Measures Designs
- Mixed Designs: Between-Subjects and Within-Subjects Factors
- Using Concomitant Variables to Increase Power: Blocking and Analysis of Covariance
- Hierarchical Designs
- Latin Squares and Related Designs
- More about Correlation
- More about Bivariate Regression
- Multiple Regression
- Regression with Categorical and Quantitative Variables: The General Linear Model
- Appendix A. Notation and Summation Operations
- Appendix B. Expected Values and Their Applications
- Appendix C. Statistical Tables
- Answers to Selected Exercises
