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  • Instrumental variable (IV) regression with categorical instrumented variable and continuous instrument

    Dear Stata Users,

    I need to apply instrumental variable (IV) cross sectional (country level) regression in the following setting:

    What is given:
    (DEP) continuous dependent variable
    (CAT) categorical independent variable/regressor that needs to be instrumented (like level of democracy = 0, 1, 2)
    (IV) instrumental variable candidates that are continuous variables in all cases. (like percentage of people in the population with some appropriate characteristics)
    Number of observations = around 45
    My questions:

    Is it fine/statistically OK to run this STATA command: ivregress 2sls DEP ( CAT = IV ) , robust first
    • or I need to do some transformations or run other models in STATA due to the specifics of the regressor (categorical) and IV (continuous)?
    • do you know statistical literature where exactly this case is covered?
    Best regards,
    Iva
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