Background to the problem: I am estimating individual treatment effects using double machine learning model. I do not know true treatment effects for my problem.

Double ML: Given Y (outcome), T (treatment) and X ( features)

Y = aT + bX + error

coefficient a is of interest (measures treatment effect) .

Double ML procedure:

  1. Fit Y ~ X => Compute residuals (Y* = Y – Y’) – Residuals are treatment effects to be estimated
  2. Fit T ~ X => Compute residuals (T* = T- T’) – This model captures variation in T explained by X
  3. Fitting a model (Y* ~ T* ) on residuals will give the average treatment effects

I am fitting a linear regression model (Y* ~ T* ) and none of the coefficients are statistically significant. Instead of relying on point estimates, I am computing prediction confidence intervals and p-value to check if the predicted value is statistically significant or not.

Is this approach good?

  • $\begingroup$ Is the model overall significant? And I don’t follow how you’re proceeding with prediction confidence intervals (sounds oxymoronic) and p-values of the predicted values. Please elaborate, $\endgroup$ – Dave Jun 7 at 2:05
  • $\begingroup$ I updated my question with more details $\endgroup$ – Chandra Jun 7 at 3:26
  • $\begingroup$ Have you considered variable interactions? Are T and X correlated? Have you tried any transformations? $\endgroup$ – bstrain Jun 24 at 16:38
  • $\begingroup$ Show the full regression outcome, including all statistics $\endgroup$ – Peter Aug 23 at 21:48

It depends on the goal of the project.

Statistical significance is more important for publishing in academic journal. For applied projects, statistical significance is less important.

Even if a model is not statistical significant, it can have value. The model may summarize the data and identify relationships. The model maybe practically important, the effect maybe of value to practitioners.

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