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  • Regression model with Interactions and lagged variables

    Hello everyone!

    I am currently investigating panel data and my research model includes lagged variables (1 year and 2 year lag) as well as an interaction effect.
    My dependent variable patents hereby should be explained by Numberofmergers, one, and two years prior the observations of the patents, respectively. Also i want to control for the variable ln_emp as well as for the dummy variables YearEffective and AcquirorPrimarySICCode.
    I am unsure as to where to use the lagged variables. Would I lag the controls twice as well? and would it make sense to lag both interaction terms?

    Does anyone have suggestions for a reasonable regression model?

    these are some of my thoughts:

    a. Every Variable lagged twice
    xtpoisson patents cl.ln_xrdintensity##cl.Numberofmergers cl2.ln_xrdintensity##cl2.Numberofmergers l.ln_emp l2.ln_emp i.YearEffective i. AcquirorPrimarySICCode

    b. Both interaction terms lagged twice, but control variable "ln_emp" not lagged
    xtpoisson patents cl.ln_xrdintensity##cl.Numberofmergers cl2.ln_xrdintensity##cl2.Numberofmergers ln_emp i.YearEffective i. AcquirorPrimarySICCode

    c. Only "Numberofmergers" lagged twice, all other variables not lagged
    xtpoisson patents c.ln_xrdintensity##cl.Numberofmergers c.ln_xrdintensity##cl2.Numberofmergers l.ln_emp l2.ln_emp i.YearEffective i. AcquirorPrimarySICCode

    Maybe someone can help me out on this one.

    Best regards

    Christopher
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