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  • Different unit of analysis in first/second stage with Heckman analysis

    Dear Statalist users

    I have a question with a potential selection-issue in an ongoing study.
    Can you use different unit of analysis for the first and second stage of a Heckman model?

    Put simply, we have a total sample of around 70 firms, where only 12 firms engage in philanthropic activities. The intended dependent variable is firm philanthropy, which is observed for a subsample of a larger population, causing concern for sample selection.
    Therefore, sample selection issue may be happening at the firm-year level, where we have some firms self-selecting to engage in philanthropy in a given year.

    However, our main interest is observing whether firms' certain activities at the county level in a specific year leads to philanthropy in the county. In other words, the unit of analysis becomes firm-county-year.
    Conceptually, we would want to (1) in the first stage, estimate the likelihood of firms selecting into the philanthropy sample and (2) examine whether firms' activities in a county lead to philanthropy in that county.
    The problem is, the unit of analysis would not be congruent in the first and second stage of a Heckman model.

    I hope the question makes sense and I do apologize for my lack of knowledge in the matter.
    If you have any advice or insight on the matter, any help would be greatly appreciated.
    Thank you in advance.
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