Ch. 2 Tools of Positive Economics Theoretical Tools of Public Finance •theoretical tools The set of •tools designed to understand •the mechanics behind economic decision making. •empirical tools The set of tools designed to analyze data and answer questions raised by theoretical analysis. The Role of Theory • Economic models – virtue of simplicity – judging a model – limitations of models • Empirical analysis •There are many examples where causation and correlation can get confused. •In statistics, this is called the identification problem: given that two series are correlated, how do you identify whether one series is causing another? Causation vs. Correlation • Statistical analysis – Correlation – Control group – Treatment group • Conditions required for government action X to cause societal effect Y – X must precede Y – X and Y must be correlated – Other explanations for any observed correlation must be eliminated Experimental Studies • Biased estimates • Counterfactual • Experimental (or randomized) study Conducting an Experimental Study • Random assignment to control and treatment groups Pitfalls of Experimental Studies • • • • • Ethical issues Technical problems Response bias Impact of limited duration of experiment Generalization of results to other populations, settings, and related treatments • Black box aspect of experiments Observational Studies • Observational study – empirical study relying on observed data not obtained from experimental study • Sources of observational data (American Wind Energy Association, 2007) – Surveys – Administrative records – Governmental data • Econometrics – Regression analysis Conducting an Observational Study • L = α0 + α1wn + α2X1 + … + αnXn + ε – – – – Dependent variable Independent variables Parameters Stochastic error term L • Regression analysis – Regression line – Standard error Intercept is α0 Slope is α1 α0 wn Types of Data • Cross-sectional data • Time-series data • Panel data 3.3 •Estimating Causation with Data We Actually Get: Observational Data •Time Series Analysis 3.3 •Estimating Causation with Data We Actually Get: Observational Data •Time Series Analysis •When Is Time Series Analysis Useful? 3.3 •Estimating Causation with Data We Actually Get: Observational Data •Cross-Sectional Regression Analysis •Example with Real-World Data Pitfalls of Observational Studies • Data collected in non-experimental setting • Specification issues Quasi-Experimental Studies • Quasi-experimental study (= natural experiment) – observational study relying on circumstances outside researcher’s control to mimic random assignment 3.3 •Estimating Causation with Data We Actually Get: Observational Data •Quasi-Experiments Conducting a Quasi-Experimental Study • Difference-in-difference quasi-experiments • Instrumental Variables quasi-experiments • Regression-Discontinuity QuasiExperiments Pitfalls of Quasi-Experimental Studies • Assignment to control and treatment groups may not be random • Not applicable to all research questions • Generalization of results to other settings and treatments