Statistical test whether to use Sharp or Fuzzy Regression Discontinuity Design

Question

Is there a statistical test that would allow me to test whether I should use a sharp or fuzzy regression discontinuity design?

Intuitively, I can think of two decision rules:

(i) Test whether the estimated treatment coefficient is the same across fuzzy and fuzzy. If different, use fuzzy.

(ii) Test if the first stage of the fuzzy rd (where actual treatment status is instrumented using whether obs lies above the cut-off) is unity. If it is not, use fuzzy.

Can anyone comment on these? I couldn't find an established rule in the literature.

user162760 · Answer

It depends on what you're interested in - if you're interested in the ITT, you shouldn't use the approach you described in i) and ii). In this case, you'd always use a sharp RD.

Statistical test whether to use Sharp or Fuzzy Regression Discontinuity Design

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