Get_pvalues_CONT: Exact finite population p-values under the sharp null for...

In noncompliance: Causal Inference in the Presence of Treatment Noncompliance Under the Binary Instrumental Variable Model

Description

Find the exact population-specific p-values under the sharp null for Compliers, for each compatible population with only Compliers and Never Takers.

Usage

Get_pvalues_CONT(obs_y0x0z0, obs_y1x0z0, obs_y0x0z1, obs_y1x0z1, obs_y0x1z1,
  obs_y1x1z1, useGLR = FALSE, justexactp = TRUE, maxonly = TRUE)

Arguments

obs_y0x0z0	Number of observed individuals with Y=0, X=0, Z=0.
obs_y1x0z0	Number of observed individuals with Y=1, X=0, Z=0.
obs_y0x0z1	Number of observed individuals with Y=0, X=0, Z=1.
obs_y1x0z1	Number of observed individuals with Y=1, X=0, Z=1.
obs_y0x1z1	Number of observed individuals with Y=0, X=1, Z=1.
obs_y1x1z1	Number of observed individuals with Y=1, X=1, Z=1.
useGLR	Whether or not to use the generalized likelihood ratio (GLR) test statistic.
justexactp	Just find the total probability of the critical region for each population, or the total probabilty of the sampling distribution (which should be 1).
maxonly	Whether to return only the maximum population-specific p-value, or all the population-specific p-values.

Value

Exact population-specific p-value(s) for a given observed dataset.

References

Loh, W. W., & Richardson, T. S. (2015). A Finite Population Likelihood Ratio Test of the Sharp Null Hypothesis for Compliers. In Thirty-First Conference on Uncertainty in Artificial Intelligence. [paper]

Examples

Get_pvalues_CONT(16, 1, 5, 1, 2, 8)
Get_pvalues_CONT(16, 1, 5, 1, 2, 8, TRUE, FALSE)
Get_pvalues_CONT(16, 1, 5, 1, 2, 8, TRUE, FALSE, FALSE)
Get_pvalues_CONT(158, 14, 52, 12, 23, 78)

noncompliance documentation built on May 2, 2019, 2:38 a.m.