Course Description
Nonexperimental and quasi-experimental research studies, including simple and multiple regression techniques, nonorthogonal analysis of variances, correlation techniques, and analysis of covariance.
Athena Title
App Corr and Regres Mth Educ
Equivalent Courses
Not open to students with credit in ERSH 8320
Non-Traditional Format
This course will be taught 95% or more online.
Prerequisite
ERSH 4300/6300 or ERSH 4300E/6300E or ERSH 4300H
Semester Course Offered
Offered fall and summer
Grading System
A - F (Traditional)
Course Objectives
Students will understand, apply, and evaluate: Correlation (Zero-order, Partial, and Semi-Partial) Simple Linear Regression Multiple Regression Variable Screening Regression Diagnostics Special Topics (Extension of the Model)
Topical Outline
I. Foundations a) Review of the general linear model and the commonalities across t-test, ANOVA, and regression b) Review of assumptions c) Exploring and graphing relationships II. Simple Linear Regression a) Estimation b) Importance of Root Mean Square Error c) Confidence Interval for the regression coefficient, when regression is used for estimation, and when regression is used for prediction d) Practical indices III. Multiple Regression a) Correlation matrix and matrix scatterplots b) Partial and semi-partial correlations c) First-order models d) Hierarchical entry regression e) Multicollinearity f) Interaction/moderation IV. Model Building a) Polynomial regression V. Variable Screening a) Stepwise procedures b) All possible regression VI. Regression Pitfalls a) Common problems and how to avoid them b) Model validation VII. Residual Analysis a) Revisit assumptions b) Identifying influential outliers
Syllabus