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Unformatted text preview: Advanced Quantitative Research Methodology, Lecture Notes: Research Designs for Causal Inference 1 Gary King http://GKing.Harvard.Edu April 11, 2010 1 c Copyright 2010 Gary King, All Rights Reserved. Gary King http://GKing.Harvard.Edu () Advanced Quantitative Research Methodology, Lecture Notes: Research Designs for Causal April 11, 2010 1 / 22 Reference Kosuke Imai, Gary King, and Elizabeth Stuart. Misunderstandings among Experimentalists and Observationalists: Balance Test Fallacies in Causal Inference Journal of the Royal Statistical Society , Series A Vol. 171, Part 2 (2008): Pp. 122 http://gking.harvard.edu/files/abs/matchseabs.shtml Gary King () Research Designs for Causal Inference April 11, 2010 2 / 22 Notation Gary King () Research Designs for Causal Inference April 11, 2010 3 / 22 Notation sample of n units from a finite population of N units (typically n << N ) Gary King () Research Designs for Causal Inference April 11, 2010 3 / 22 Notation sample of n units from a finite population of N units (typically n << N ) Sample selection: I i is 1 for units selected, 0 otherwise Gary King () Research Designs for Causal Inference April 11, 2010 3 / 22 Notation sample of n units from a finite population of N units (typically n << N ) Sample selection: I i is 1 for units selected, 0 otherwise Treatment assignment: T i is 1 for treated group, 0 control group Gary King () Research Designs for Causal Inference April 11, 2010 3 / 22 Notation sample of n units from a finite population of N units (typically n << N ) Sample selection: I i is 1 for units selected, 0 otherwise Treatment assignment: T i is 1 for treated group, 0 control group Assume treated and control groups are each of size n / 2 Gary King () Research Designs for Causal Inference April 11, 2010 3 / 22 Notation sample of n units from a finite population of N units (typically n << N ) Sample selection: I i is 1 for units selected, 0 otherwise Treatment assignment: T i is 1 for treated group, 0 control group Assume treated and control groups are each of size n / 2 Potential outcomes: Y i (1) and Y i (0), the outcome variable values when T i is 1 or 0 respectively. Gary King () Research Designs for Causal Inference April 11, 2010 3 / 22 Notation sample of n units from a finite population of N units (typically n << N ) Sample selection: I i is 1 for units selected, 0 otherwise Treatment assignment: T i is 1 for treated group, 0 control group Assume treated and control groups are each of size n / 2 Potential outcomes: Y i (1) and Y i (0), the outcome variable values when T i is 1 or 0 respectively. Fundamental problem of causal inference: Only one potential outcome is ever observed (in the sample): Y i ≡ T i Y i (1) + (1 T i ) Y i (0) Gary King () Research Designs for Causal Inference April 11, 2010 3 / 22 Notation sample of n units from a finite population of N units (typically n << N ) Sample selection: I i is 1 for units selected, 0 otherwise Treatment assignment: T i is 1 for treated group, 0 control group...
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This note was uploaded on 05/12/2010 for the course APPLIED ST 2010 taught by Professor Various during the Spring '10 term at Universidad Nacional Agraria La Molina.
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