Description Usage Arguments Details Value References
This function implements augmented inverse probability weighted (IPW) estimation of local average treatment effects (LATEs) as proposed in Tan (2006), provided the fitted instrument propensity scores and fitted values from both treatment and outcome regressions.
1 |
y |
An n x 1 vector of observed outcomes. |
tr |
An n x 1 vector of treatment indicators (=1 if treated or 0 if untreated). |
iv |
An n x 1 vector of instruments (0 or 1). |
mfp |
An n x 2 matrix of fitted instrument propensity scores for |
mft |
An n x 2 matrix of fitted values from treatment regression, for |
mfo |
An n x 4 matrix of fitted values from outcome regression, for |
off |
A 2 x 1 vector of offset values (e.g., the true values in simulations) used to calculate the z-statistics. |
The individual expectations θ_d=E(Y(d)|D(1)>D(0)) are estimated separately for d\in\{0,1\} using inverse probability weighting ("ipw"), treatment and outcome regressions ("or") and augmented IPW methods as proposed in Tan (2006). The population LATE is defined as θ_1-θ_0.
ipw |
A 2 x 1 vector of IPW estimates of θ_1 and θ_0; see Details. |
or |
A 2 x 1 vector of regression estimates of θ_1 and θ_0; see Details. |
est |
A 2 x 1 vector of augmented IPW estimates of θ_1 and θ_0; see Details. |
var |
The estimated variances associated with the augmented IPW estimates of θ_1 and θ_0. |
ze |
The z-statistics for the augmented IPW estimates of θ_1 and θ_0, compared to |
late.est |
The augmented IPW estimate of LATE. |
late.var |
The estimated variance associated with the augmented IPW estimate of LATE. |
late.ze |
The z-statistic for the augmented IPW estimate of LATE, compared to |
Tan, Z. (2006) Regression and weighting methods for causal inference using instrumental variables, Journal of the American Statistical Association, 101, 1607<e2><80><93>1618.
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