| CvM.stat {RATest} | R Documentation |
Cramer - von Mises statistics
Description
Calculates the Cramer-von Mises test statistic
T(S_n)=\frac{1}{2q}\sum_{i=1}^{2q}\left(H^-_n(S_{n,i})-H^+_n(S_{n,i})\right)^2
where H^-_n(\cdot) and H^+_n(\cdot) are the empirical CDFs of the the sample of baseline covariates close to the cutoff from the left and right, respectively. See equation (12) in Canay and Kamat (2017).
Usage
CvM.stat(Sn)
Arguments
Sn |
Numeric. The pooled sample of induced order statistics. The first column of S can be viewed as an independent sample of W conditional on Z being close to zero from the left. Similarly, the second column of S can be viewed as an independent sample of W conditional on Z being close to the cutoff from the right. See section 3 in Canay and Kamat (2017). |
Value
Returns the numeric value of the Cramer - von Mises test statistic.
Author(s)
Maurcio Olivares
Ignacio Sarmiento Barbieri
References
Canay, I and Kamat V, (2018) Approximate Permutation Tests and Induced Order Statistics in the Regression Discontinuity Design. The Review of Economic Studies, 85(3): 1577-1608