I am fairly new to econometrics and maybe this is a very basic question to some.

I am running a Fuzzy RD design in Stata and I am having doubts about whether I am specifying my regressions correctly. My running variable is age and the cutoff point differs by gender.

Suppose my data is like this: Let w be a dummy variable indicative of treatment, age be my running or forcing variable (the cutoff point is equal to 25 for women and 30 for men), z is a dummy indicating whether men are over 30 or women over 25 (z_30 and z_25), and y my outcome variable. Also, let X be a vector of covariates.

I am running separate regressions for both men and women and I am doing something like this:

For men ivregress 2sls y age age^2 age^3 X ( w = z30 ), first vce (robust)

For women ivregress 2sls y age age^2 age^3 X ( w = z25 ), first vce (robust)

Is this correct?

Also, I was wondering if it were possible to run the above regressions together. I am having trouble doing this since assignment to treatment differs for women and men and I do not know how to specify the first stage equation. I have found similar cases in the literature but none in a Fuzzy RD context.

Any help or comments regarding any of the above questions would be greatly appreciated.

Thank you very much,

Luisa

I am fairly new to econometrics and maybe this is a very basic question to some.

I am running a Fuzzy Regression Discontinuity (RD) design in Stata and I am having doubts about whether I am specifying my regressions correctly. My running variable is age and the cutoff point differs by gender.

Suppose my data is like this: Let w be a dummy variable indicative of treatment, age be my running or forcing variable (the cutoff point is equal to 25 for women and 30 for men), z is a dummy indicating whether men are over 30 or women over 25 (z_30 and z_25), and y my outcome variable. Also, let X be a vector of covariates.

I am running separate regressions for both men and women and I am doing something like this:

For men:

ivregress 2sls y age age^2 age^3 X ( w = z30 ) if male == 1, first vce (robust)

For women:

ivregress 2sls y age age^2 age^3 X ( w = z25 ) if female == 1, first vce (robust)

Is this correct?

Also, I was wondering if it were possible to run the above regressions together. I am having trouble doing this since assignment to treatment differs for women and men and I do not know how to specify the first stage equation. I have found similar cases in the literature, but none in a Fuzzy RD context.

Any help or comments regarding any of the above questions would be greatly appreciated.