TY  - RPRT
        AU  - Heckman, James J.
AU  - Todd, Petra E.
        TI  - A Note on Adapting Propensity Score Matching and Selection Models to Choice Based Samples
        PY  - 2009/Jul/
        PB  - Institute of Labor Economics (IZA)
        CY  - Bonn
        T2  - IZA Discussion Paper
        IS  - 4304
        UR  - https://www.iza.org/index.php/publications/dp4304
        AB  - The probability of selection into treatment plays an important role in matching and selection models. However, this probability can often not be consistently estimated, because of choice-based sampling designs with unknown sampling weights. This note establishes that the selection and matching procedures can be implemented using propensity scores fit on choice-based samples with misspecified weights, because the odds ratio of the propensity score fit on the choice-based sample is monotonically related to the odds ratio of the true propensity scores.
        KW  - propensity scores
KW  - matching models
KW  - choice-based sampling
KW  - selection models
        ER  -