Statistical Regression Models and Data Interpretation
Posted by Anonymous and classified in Mathematics
Written on in
English with a size of 1.2 MB
Executive Summary of Regression Models
- Simple Linear Regression: On average, for every 1-unit increase in [X], the expected [Y] changes by β1 units (95% CI: …).
- Multiplicative Model: On average, a 1-unit increase in [X] multiplies the median [Y] by exp(β1), resulting in a 100·(exp(β1)–1)% change (95% CI: …).
- Power Law/Elasticity: A 1% increase in [X] is associated with a β1% change in [Y] (95% CI: …).
- Categorical Variable: Students in Group A scored on average β1 units higher or lower than those in Group B (95% CI: …).
- Categorical Variable (3-Group): After adjusting for [X], students taught with Method 2 scored on average β1 units higher than those with Method 1; Method 3 scored β3 units lower.
- Interaction: For Group A, a 1-unit