# rdsensitivity

0th

Percentile

##### Sensitivity analysis for RD designs under local randomization

rdsensitivity analyze the sensitivity of randomization p-values and confidence intervals to different window lengths.

##### Usage
rdsensitivity(
Y,
R,
cutoff = 0,
wlist,
tlist,
statistic = "diffmeans",
p = 0,
evalat = "cutoff",
kernel = "uniform",
fuzzy = NULL,
ci,
reps = 1000,
seed = 666,
nodraw = FALSE,
quietly = FALSE
)
##### Arguments
Y

a vector containing the values of the outcome variable.

R

a vector containing the values of the running variable.

cutoff

the RD cutoff (default is 0).

wlist

the list of window lengths to be evaluated. By default the program constructs 10 windows around the cutoff, the first one including 10 treated and control observations and adding 5 observations to each group in subsequent windows.

tlist

the list of values of the treatment effect under the null to be evaluated. By default the program employs ten evenly spaced points within the asymptotic confidence interval for a constant treatment effect in the smallest window to be used.

statistic

the statistic to be used in the balance tests. Allowed options are diffmeans (difference in means statistic), ksmirnov (Kolmogorov-Smirnov statistic) and ranksum (Wilcoxon-Mann-Whitney standardized statistic). Default option is diffmeans. The statistic ttest is equivalent to diffmeans and included for backward compatibility.

p

the order of the polynomial for outcome adjustment model. Default is 0.

evalat

specifies the point at which the adjusted variable is evaluated. Allowed options are cutoff and means. Default is cutoff.

kernel

specifies the type of kernel to use as weighting scheme. Allowed kernel types are uniform (uniform kernel), triangular (triangular kernel) and epan (Epanechnikov kernel). Default is uniform.

fuzzy

indicates that the RD design is fuzzy. fuzzy can be specified as a vector containing the values of the endogenous treatment variable, or as a list where the first element is the vector of endogenous treatment values and the second element is a string containing the name of the statistic to be used. Allowed statistics are ar (Anderson-Rubin statistic) and tsls (2SLS statistic). Default statistic is ar. The tsls statistic relies on large-sample approximation.

ci

returns the confidence interval corresponding to the indicated window length. ci has to be a scalar or a two-dimensional vector, where the first value needs to be one of the values in wlist. The second value, if specified, indicates the value of alpha for the confidence interval. Default alpha is .05 (95% level CI).

reps

number of replications. Default is 1000.

seed

the seed to be used for the randomization tests.

nodraw

suppresses contour plot.

quietly

suppresses the output table.

##### Value

tlist

treatment effects grid

wlist

window grid

results

table with corresponding p-values for each window and treatment effect pair.

ci

confidence interval (if ci is specified).

##### References

M.D. Cattaneo, B. Frandsen and R. Titiunik. (2015). Randomization Inference in the Regression Discontinuity Design: An Application to Party Advantages in the U.S. Senate. Journal of Causal Inference 3(1): 1-24.

M.D. Cattaneo, R. Titiunik and G. Vazquez-Bare. (2016). Inference in Regression Discontinuity Designs under Local Randomization. Stata Journal 16(2): 331-367.

M.D. Cattaneo, R. Titiunik and G. Vazquez-Bare. (2017). Comparing Inference Approaches for RD Designs: A Reexamination of the Effect of Head Start on Child Mortality. Journal of Policy Analysis and Management 36(3): 643-681.

##### Aliases
• rdsensitivity
##### Examples
# NOT RUN {
# Toy dataset
R <- runif(100,-1,1)
Y <- 1 + R -.5*R^2 + .3*R^3 + (R>=0) + rnorm(100)
# Sensitivity analysis
# Note: low number of replications to speed up process.
# The user should increase the number of replications.
tmp <- rdsensitivity(Y,R,wlist=seq(.75,2,by=.25),tlist=seq(0,5,by=1),reps=500)

# }

Documentation reproduced from package rdlocrand, version 0.7, License: GPL-2

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