Prerequisites
The pre-requisites for this course are EPsy 8251 and EPsy 8252. Prerequisite knowledge include topics from a basic statistics course:
- Foundational topics in data analysis;
- Design (e.g., random assignment and random sampling)
- Descriptive statistics and plots
- One- and two-sample tests
And, topics from EPsy 8251: Methods in Data Analysis for Educational Research I:
- Statistical Computation
- Using R
- Data wrangling/manipulation
- Plotting
- Correlation;
- Simple regression analysis;
- Model-level and coefficient-level interpretation
- Ordinary least squares estimation
- Standardized regression
- Partitioning sums of squares
- Model-level and coefficient-level inference
- Assumption checking/residual analysis
- Multiple linear regression
- Model-level and coefficient-level interpretation and inference
- Assumption checking/residual analysis
- Working with categorical predictors (including adjusting p-values for multiple tests)
- Interaction effects
And topics from EPsy 8252: Methods in Data Analysis for Educational Research II:
- Dealing with nonlinearity;
- Quadratic effects
- Log-transformations
- Probability distributions;
- Maximum likelihood estimation;
- Model selection;
- Linear mixed-effects models (cross-sectional/longitudinal)
- Basic ideas of mixed-effects models
- Fitting models with random-intercepts and random-slopes
- Assumptions
- Likelihood ratio tests
- Generalized linear models
Resources
For the topics listed, students would be expected to be able to carry out an appropriate data analysis and properly interpret the results. It is also assumed that everyone enrolled in the course has some familiarity with using R. If you need a refresher on any of these topics, see: