Questions tagged [treatment-effect]

A treatment effect is the causal effect of some "treatment" or policy intervention on an outcome variable. Such effects can be estimated with data from randomized or quasi experiments, and clinical trials or with observational data and methods for causal inference.

A treatment effect is the causal effect of some "treatment" or policy intervention on an outcome variable. Typical examples are the effect of participation in a job market program or the effect of a particular drug. The usual difficulty is to control for selection bias which arises if treated units are different from non-treated units due to reasons which are unrelated to the treatment itself. This can be achieved by utilizing data from randomized or quasi experiments, and clinical trials or with observational data and methods for causal inference (e.g. instrumental variables or matching).

Treatments can have continuous intensity but in the standard potential outcomes framework they are assumed to be binary. The two most commonly used measures are the average treatment effect (ATE) and the average treatment effect on the treated (ATT): $$\begin{align} ATE &= E[y_1 - y_0] \newline ATT &= E[y_1 - y_0|D = 1] \end{align}$$ where the dummy $D$ denotes treatment status ($1 =$ treated, $0$ otherwise), whilst $y_1$ and $y_0$ denoted the potential outcomes in the two states. ATE is the expected treatment effect on a randomly extracted unit from the population. ATT is the expected treatment effect on a randomly extracted unit from the sub-population that has been exposed to the treatment.

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Why is the IPW (Inverse Probability Weighting) estimator unbiased when you know the propensity scores?

The IPW estimator, for outcomes $Y_i$, treatment $T_i$, and covariates $Z_i$ is: $$ \widehat{\text{ATE}}_{\text{IPW}} = \frac{1}{n}\sum_{i=1}^{n}\left[\frac{T_iY_i}{\widehat{\pi}(Z_i)} - \frac{(1-T_i)Y_i}{1-\widehat{\pi}(Z_i)}\right] $$ where…
user321627
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What is the standard literature on Inverse Probability Weighting Estimators?

I understand that Imbens has several papers on IPW, but was wondering if there was a default text one would recommend to understand IPW. For example, where does the estimator: $$ \tau = \frac{1}{N^T}\sum_{i=1}^N \frac{W_iY_i}{e_i(X_i)} -…
user321627
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Does estimating continuous treatment effects make sense in this case?

I was reading the tutorial for twangContinuous here. I loaded their dataset dat and found that there are two treatment groups A and B and there are different levels of tss_0 which is their continuous exposure and represents a count of trauma…
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Treatment effect in a balanced randomized experiment

In an ideal balanced randomized experiment where every profile's propensity score is 0.5 (under binary treatment), regardless of the value of the profile, the best we can know of the treatment effect(AKA uplift) of the given subject is ATE (Average…
Royalblue
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Thresholds as function of treatment

Y=function of some treatment. So when a treatment is applied I want to develop thresholds(depending on some sort of variance). Any ideas?
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Multiple drug treatment effects

Suppose I have five vitamins VA VB VC VD VE, and wish to study the effects of each drug on the weight of patients with data measured at daily frequency. The typical data look like this Patient 1 take 1000mg of VA at day 15 ; take 1000mg of VD at day…