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  • Only first differencing the independent variable

    Hello! I'm purposely not providing the code as this question is more conceptual.

    I am trying to study the relationship between income and preferences for redistribution. I have a panel dataset.

    I can simply the model (1): preferences = alpha + income + e.
    However, I'm also interested in the change in income rather than the level variable.
    In that case I might run (2) preferences = alpha + ∆income + e.

    My question is, does only first differencing the income variable okay? Additionally, is including ∆income any different from just including the level of income?
    Cause even if model (1) is using level variables, they do change across years, so I'm now a bit confused if I will even get different results by first differencing income. Thanks!
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