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Understanding Interaction Terms in Regression Analysis

This lecture focuses on interaction terms in regression analysis, specifically interactions between independent variables. We explore both binary and continuous variables with detailed examples, such as TestScore and English learners. Key concepts include when interaction terms become positive, interpreting coefficients, and calculating marginal effects. This session equips students with the skills to analyze interactions effectively in data sets, advancing their understanding of statistical models.

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Understanding Interaction Terms in Regression Analysis

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  1. Lecture 25 (Dec.4) In the last lecture, we covered • Log-log specification • Interaction term This lecture introduces you to • Interaction term

  2. Interactions Between Independent Variables (SW Section 8.3)

  3. (a) Interactions between two binary variables When does this term become positive?

  4. Interpreting the coefficients What is the marginal effect of D1: 0→1 if D2=0? What is the marginal effect of D1: 0→1 if D2=1?

  5. Interpreting the coefficients What is the marginal effect of D1: 0→1 if D2=0? What is the marginal effect of D1: 0→1 if D2=1?

  6. Interpreting the coefficients What does β3 represent?

  7. Example: TestScore, STR, English learners • What is the “Effect” of HiSTR when HiEL = 0 ? • What is the “Effect” of HiSTR when HiEL = 1 ? • What do you conclude from the above result?

  8. (b) Interactions between continuous and binary variables When does this term become positive?

  9. Binary-continuous interactions: the two regression lines

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