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I am using a sample of roughly 325,000 immigrants from the American Community Survey to assess the impact of years in the U.S. on income levels. I ran the Breusch Pagan test on my regression model but the income levels are heteroscedastic because there is a strong left skew.

To correct for this, I ran my regression with the vce(robust) option in stata. I now want to test my regression for heteroscedasticty but when I attempt to run estat hettest I get an error:

hettest not appropriate after robust cluster() r(498);

my question

What are appropriate tests to run to test for heteroscedasticity of the error terms when using robust standard errors?

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I cannot help you with the Stata code, but in general, it does not seem convincing to retest your regression for heteroskedasticity after some robustification of the variance covariance matrix of the slopes.

After all, you still use the same (OLS) point estimator, and will thus get the same residuals exhibiting the same heteroskedasticity - all the robustification does is estimate the variance covariance matrix differently to take this into account.

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  • $\begingroup$ Is there a way to remove heteroscedasticity? I've tried basic things like log and power transformations, which didn't help. $\endgroup$
    – Stan Shunpike
    Commented Feb 13, 2017 at 19:15
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    $\begingroup$ Why insist on removing heteroskedasticity if your inference is already made robust to it? $\endgroup$
    – Christoph Hanck
    Commented Feb 14, 2017 at 15:02
  • $\begingroup$ @RichardHardy, done - I suppose the new tag description will clarify the differences between ARMA and ARIMA? $\endgroup$
    – Christoph Hanck
    Commented Mar 21, 2017 at 13:05
  • $\begingroup$ @ChristophHanck, the current tag description already does that, but we can always try to improve it further. $\endgroup$
    – Richard Hardy
    Commented Mar 21, 2017 at 13:13

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