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  • 3 way interaction (continuous*continuous*binary dummy) interpretation + necessary tests

    Hello everyone,

    I am currently working on a paper where a 3-way interaction is included in a panel data dataset ( 7 years, +-1500 obs, 204 firms).

    X1 in the interaction is a continous variable which is expected to affect the Y.
    X2 is also continuous, expected to influence X1's effect on Y.
    X3 is a dummy variable which splits up the 7-year time period into 2 periods.

    The current regression that has been run looks as follows ( I realise that I will have omitted variables due to the ##, this is just for illustration)
    xtreg Y X1 X2 i.X3 X4 c.X1##c.X2##i.X3, fe vce (robust)
    I'd like to ask for your advice on how to
    1. interpret any significant variables, and how to best approach this (assuming I can neglect the insignificant coefficients)
    2. if any tests need to be carried out pre/post regression
    many thanks and if there are any details missing, I'd be more than happy to provide these!

    Don't hesitate to ELI5: explain like I'm 5!


    Running STATA 17.0
    Last edited by Peter Selie; 03 May 2022, 18:53.
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