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Average treatment effect on the treated
Average treatment effect on the treated









average treatment effect on the treated

Although the overarching goal of such evaluation may be to assess the impact of such intervention in reducing the prevalence of smoking in the general population (i.e. For instance, consider a scenario where a government has implemented a smoking cessation campaign intervention to decrease the smoking prevalence in a city and now wishes to evaluate the impact of such intervention. However, in economics and evaluation studies, it has been noted that the average treatment effect among units who actually receive the treatment or intervention (average treatment effects on the treated, ATT) may be the implicit quantity sought and the most relevant to policy makers. This quantity provides the average difference in outcome between units assigned to the treatment and units assigned to the placebo (control). In epidemiology, (bio)statistics and related fields, researchers are often interested in the average treatment effect in the total population (average treatment effect, ATE). Its use should be encouraged in modern epidemiologic teaching and practice. The g-computation algorithm is a powerful way of estimating standardized estimates like the ATT and ATU. In our illustrative example, the effect (risk difference ) of a higher education on angina among the participants who indeed have at least a high school education (ATT) was −0.019 (95% CI: −0.040, −0.007) and that among those who have less than a high school education in India (ATU) was −0.012 (95% CI: −0.036, 0.010). The estimates for ATT, ATU and average treatment effect (ATE) were of similar magnitude, with ATE being in between ATT and ATU as expected. To obtain marginal effect estimates for ATT and ATU we used a three-step approach: fitting a model for the outcome, generating potential outcome variables for ATT and ATU separately, and regressing each potential outcome variable on treatment intervention. In this paper we illustrate the steps for estimating ATT and ATU using g-computation implemented via Monte Carlo simulation. (Z*Z/ 25 + 0.Average treatment effects on the treated (ATT) and the untreated (ATU) are useful when there is interest in: the evaluation of the effects of treatments or interventions on those who received them, the presence of treatment heterogeneity, or the projection of potential outcomes in a target (sub-) population. " ATE: An R package for Nonparametric Inference of Average Treatment Effects ", under revision See Also summary.ATE, "Globally Efficient Nonparametric Inference of Average Treatment Effects by Empirical Balancing Calibration Weighting", under revision.

Average treatment effect on the treated plus#

  • K A scalar indicating the one plus the dimension of the range space of X.
  • J A scalar indicating the number of treatment arms.
  • Required to make sure that the weights sum to 1 in each group.
  • FUNu A function that append a vector of constants to the covariates.
  • rho, rho1, rho2 The Cressie-Read functions $\rho$ used for estimation along with the first and second derivatives.
  • average treatment effect on the treated

    X,Y, Ti The data which was used for estimation.conv A logical value indicating convergence of Newton-Raphson algorithm.With ATT = TRUE we have "ATT" and finally "MT" is for multiple treatment arms. For binary treatment effect with ATT = FALSE is denoted by group "simple". gp A string specifying the type of study design.For multiple treatment effect the list contains a $J\times n$ matrix weights.mat. For binary treatment the list would contain either weights.q or weights.p or both. In the case of ATT = TRUE, we only have weights for the untreated. weights The weights obtained by the balancing covariate method for each treatment group.lam The resulting solution of the main optimization problems, $\hat$ corresponding to each treatment arm.vcov The estimated variance covariance matrix for the estimates of the treatment effects for each treatment group.For a binary treatment it also contains the average difference of treatment effects. est The vector of point estimates for the average treatment effect.The function reruns an object of type "ATE", a list with the following elements.











    Average treatment effect on the treated