moderndid.std_ipw_did_rc#
- moderndid.std_ipw_did_rc(y, post, d, covariates, i_weights=None, boot=False, boot_type='weighted', nboot=999, influence_func=False, trim_level=0.995)[source]#
Compute the standardized inverse propensity weighted DiD estimator for the ATT with repeated cross-section data.
Implements the standardized inverse propensity weighted (IPW) estimator for the ATT with repeated cross-section data, as proposed by [1] and discussed in [2]. This is the Hajek-type estimator, where weights are normalized to sum to one. The estimator is given by equation (4.2) in [2] as
\[\widehat{\tau}_{std}^{ipw,rc} = \mathbb{E}_{n}\left[\left(\widehat{w}_{1}^{rc}(D,T) - \widehat{w}_{0}^{rc}(D,T,X;\widehat{\gamma})\right) Y\right].\]- Parameters:
- y
numpy.ndarray A 1D array of outcomes from both pre- and post-treatment periods.
- post
numpy.ndarray A 1D array of post-treatment dummies (1 if post-treatment, 0 if pre-treatment).
- d
numpy.ndarray A 1D array of group indicators (1 if treated in post-treatment, 0 otherwise).
- covariates
numpy.ndarrayorNone A 2D array of covariates for propensity score estimation. An intercept must be included if desired. If None, leads to an unconditional DiD estimator.
- i_weights
numpy.ndarray, optional A 1D array of observation weights. If None, weights are uniform. Weights are normalized to have a mean of 1.
- bootbool, default=False
Whether to use bootstrap for inference.
- boot_type{“weighted”, “multiplier”}, default=”weighted”
Type of bootstrap to perform.
- nboot
int, default=999 Number of bootstrap repetitions.
- influence_funcbool, default=False
Whether to return the influence function.
- trim_level
float, default=0.995 The trimming level for the propensity score.
- y
- Returns:
StdIPWDIDRCResultA NamedTuple containing the ATT estimate, standard error, confidence interval, bootstrap draws, and influence function.
See also
ipw_did_rcNon-standardized version of Abadie’s IPW DiD estimator for repeated cross-section data.
Notes
The standardized IPW estimator normalizes weights within each group-period cell, making it a Hajek-type estimator. This can provide more stable estimates when there is substantial variation in weights across groups.
References
[1]Abadie, A. (2005). Semiparametric difference-in-differences estimators. The Review of Economic Studies, 72(1), 1-19. https://doi.org/10.1111/0034-6527.00321
[2] (1,2)Sant’Anna, P. H., & Zhao, J. (2020). Doubly robust difference-in-differences estimators. Journal of Econometrics, 219(1), 101-122. https://doi.org/10.1016/j.jeconom.2020.06.003