Week 5 - Inference with One Regressor

Content for week of Monday, September 27, 2021–Friday, October 1, 2021

Overview

As we carry on into the wonderful world of statistical inference, expect flashbacks of our statistics review. That’s what the review was for! It’s all coming together 😌.

Reading Guide

Chapter 5: Hypothesis Tests and Confidence Intervals

SW 5.1 Testing Hypotheses About One of the Regression Coefficients

This is very important stuff. Again, don’t worry about calculating the variance of a beta coefficient by hand. However, note how similar this is to our hypothesis testing in Chapter 3!

SW 5.2 Confidence intervals for a regression coefficient

SW 5.3 Regression when X is a binary variable

We are going to use this ALL THE TIME.

SW 5.4 Heteroskedasticity and homoskedasticity

Drop “heteroskedasticity” into any conversation and you’re sure to delight. Just one more benefit of EC200. The examples and implications of heteroskedasticity are important.

And, now you’ll know to add , robust to all your Stata regressions. (Quick, someone tell Nate Silver!)

SW 5.5 Theoretical foundations of OLS

Know the Gauss-Markov theorem and related assumptions. Skip “regression estimators other than OLS.” The appendix contains a proof of the Gauss-Markov theorm, but we will not cover that.

SW 5.6 Skip this section!

SW 5.7 Conclusion

For the good times.

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