# RDTOpt.fit: Optimal inference in RD under Taylor class In kolesarm/RDHonest: Honest inference in sharp regression discontinuity designs

## Description

Basic computing engine called by `RDHonest` to compute honest confidence intervals for local optimal estimators in RD under second-order Taylor class.

## Usage

 ```1 2``` ```RDTOpt.fit(d, M, opt.criterion, alpha = 0.05, beta = 0.5, se.method = "supplied.var", J = 3, se.initial = "IKEHW") ```

## Arguments

 `d` object of class `"RDData"` `M` Bound on second derivative of the conditional mean function. `opt.criterion` Optimality criterion that bandwidth is designed to optimize. It can either be based on exact finite-sample maximum bias and finite-sample estimate of variance, or asymptotic approximations to the bias and variance. The options are: `"MSE"`Finite-sample maximum MSE `"FLCI"`Length of (fixed-length) two-sided confidence intervals. `"OCI"`Given quantile of excess length of one-sided confidence intervals The finite-sample methods use conditional variance given by `sigma2`, if supplied. Otherwise, for the purpose of estimating the optimal bandwidth, conditional variance is assumed homoscedastic, and estimated using a nearest neighbor estimator. `alpha` determines confidence level, `1-alpha` for constructing/optimizing confidence intervals. `beta` Determines quantile of excess length to optimize, if bandwidth optimizes given quantile of excess length of one-sided confidence intervals. `se.method` Vector with methods for estimating standard error of estimate. If `NULL`, standard errors are not computed. The elements of the vector can consist of the following methods: "nn"Nearest neighbor method "EHW"Eicker-Huber-White, with residuals from local regression (local polynomial estimators only). "demeaned"Use EHW, but instead of using residuals, estimate sigma^2_i by subtracting the estimated intercept from the outcome (and not subtracting the estimated slope). Local polynomial estimators only. "plugin"Plug-in estimate based on asymptotic variance. Local polynomial estimators in RD only. "supplied.var"Use conditional variance supplied by `sigma2` / `d` instead of computing residuals `J` Number of nearest neighbors, if "nn" is specified in `se.method`. `se.initial` Method for estimating initial variance for computing optimal bandwidth. Ignored if data already contains estimate of variance. "IKEHW"Based on residuals from a local linear regression using a triangular kernel and IK bandwidth "IKdemeaned"Based on sum of squared deviations of outcome from estimate of intercept in local linear regression with triangular kernel and IK bandwidth "Silverman"Use residuals from local constant regression with uniform kernel and bandwidth selected using Silverman's rule of thumb, as in Equation (14) in IK "SilvermanNN"Use nearest neighbor estimates, rather than residuals "NN"Use nearest neighbor estimates, without assuming homoscedasticity

## Value

Returns an object of class `"RDResults"`, see description in `RDHonest`

kolesarm/RDHonest documentation built on April 3, 2018, 11:08 a.m.