extensions of ordinary least squares

Please refer to Angrist chapters 4 and 5 (p82-99; 165-181)
GOAL: To explore further extensions of ordinary least squares (the standard approach to multivariate regression analysis)
1) Choose one of the four following approaches:
Instrumental
Fixed Effects
Diff-in-Diff
Panel Data
2) Why is this approach used? What problem with data and/or the ordinary least squares (“OLS”, i.e. standard multivariate regression approach) does this approach attempt to correct?
3) Explain briefly how this approach is implemented.

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