In case anyone is interested, here is a new working paper on non-binary treatments with staggered interventions. Essentially, I show under what assumptions it is valid to estimate cohort x time dose-response functions.
Don't tempt us!

@jmwooldridge.bsky.social
Econometrics professor and author. Dogs = 2, cats >= 10.
Don't tempt us!
Nice! 😂
Greece with Scott, Pedro, and me? What’s more fun than that?
I've stolen money once or twice living in a crypto paradise.
Seems like I should've been able to answer at least the first question in a few lines, but it didn't turn out that way ....
When your poster bombs at ASSA.
I've been teaching this approach for awhile, and it's nice to finally have written it up for a special issue of Econometric Reviews. It's under review there.
I think an important feature is that, when applying the assumptions in the binary treatment case, they collapse to the same ones I used in my earlier TWFE-TW Mundlak paper. In other words, the only extra assumptions are imposed because of the nonbinary nature of the treatment.
In principle, the treatment can vary from its initial level, and even turn off. But the selection restriction becomes less plausible. I also show how to do an event study (leads and lags) version of the estimator, and how to incorporate heterogeneous trends when CPT is violated.
Callaway, Goodman-Bacon, Sant'Anna (2026). Using flexible TWFE allows adding covariates, which allows both violation of the usual PT and allows for selection on X -- like CG-BS'A strong PT conditional on X. Putting in flexible functions of continuous treatments is easy.
In addition to additivity in the unit and time FEs -- the usual (conditional) parallel trends assumption -- a selection restriction is needed on the heterogeneous slopes. In the T = 2 case without covariates, it essentially reduces to the "strong" PT assumption in
The treatment can be continuous, discrete, multiple levels, and so on. Estimation is to take the binary time-varying treatment, W_it, from my extended TWFE approach and replace W_it with any other treatment variable. The resulting equation can be estimated by TWFE.
In case anyone is interested, here is a new working paper on non-binary treatments with staggered interventions. Essentially, I show under what assumptions it is valid to estimate cohort x time dose-response functions.
Hi All. Perhaps something useful from me. I'd like to announce that drlate, a Stata module for doubly robust estimation of the local average treatment effect (LATE) and the local average treatment effect on the treated (LATT), is now available in SSC.