# sample.n: Targeted sampling of sharp null hypotheses In interferenceCI: Exact Confidence Intervals in the Presence of Interference

### Description

Fills in missingness in \vec{y}(z;α_{s}) for z,s=0,1 based on targeted sampling algorithm described in Section 4.2 of Rigdon and Hudgens (2014)

### Usage

 1 sample.n(eff, y0.a0, y1.a0, y0.a1, y1.a1, p00, p10, p01, p11, n, m.a0, m.a1) 

### Arguments

 eff treatment effect of interest; either “DEa0”, “DEa1”, “IE”, “TE”, or “OE” y0.a0 Observed \vec{y}(0;α_{0}); includes NAs where missing y1.a0 Observed \vec{y}(1;α_{0}); includes NAs where missing y0.a1 Observed \vec{y}(0;α_{1}); includes NAs where missing y1.a1 Observed \vec{y}(1;α_{1}); includes NAs where missing p00 Missingness in \vec{y}(0;α_{0}) is filled in by sampling from a Bernoulli distribution with mean p_{00} p10 Missingness in \vec{y}(1;α_{0}) is filled in by sampling from a Bernoulli distribution with mean p_{10} p01 Missingness in \vec{y}(0;α_{1}) is filled in by sampling from a Bernoulli distribution with mean p_{01} p11 Missingness in \vec{y}(1;α_{0}) is filled in by sampling from a Bernoulli distribution with mean p_{11} n group size vector where element i=1,…,k is equal to the number of subjects in group i m.a0 α_{0} randomization vector where element i=1,…,k is equal to the number of subjects in group i who would receive treatment if group i was randomized to strategy α_{0} m.a1 α_{1} randomization vector where element i=1,…,k is equal to the number of subjects in group i who would receive treatment if group i was randomized to strategy α_{1}

### Value

 y0.a0 value of \vec{y}(0;α_{0}) after missingness has been filled in using targeted sampling y1.a0 value of \vec{y}(1;α_{0}) after missingness has been filled in using targeted sampling y0.a1 value of \vec{y}(0;α_{1}) after missingness has been filled in using targeted sampling y1.a1 value of \vec{y}(1;α_{1}) after missingness has been filled in using targeted sampling effect value of treatment effect of interested under sharp null after missingness filled in using targeted sampling

### Author(s)

Joseph Rigdon jrigdon@bios.unc.edu

### References

Rigdon, J. and Hudgens, M.G. “Exact confidence intervals in the presence of interference.” Submitted to Statistics and Probability Letters 2014.

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