CorrBin (version 1.3)

mc.test.chisq: Test the assumption of reproducibility

Description

mc.test.chisq tests whether thee assumption of reproducibility is violated in the data.

Usage

mc.test.chisq(cbdata)

Arguments

cbdata

a CBData object

Value

• A list with the following components:
• overall.chi
  the test statistic; sum of the statistics for each group
• overall.p
  p-value of the test
• individual
  a list of the results of the test applied to each group separately:

  • chi.sq

  {the test statistic for the group} p{p-value for the group}

Details

The assumption of marginal compatibility (AKA interpretability) implies that the marginal probability of response does not depend on clustersize. Stefanescu and Turnbull (2003), and Pang and Kuk (2007) developed a Cochran-Armitage type test for trend in the marginal probability of success as a function of the clustersize. mc.test.chisq implements a generalization of that test extending it to multiple treatment groups.

References

Stefanescu, C. & Turnbull, B. W. (2003) Likelihood inference for exchangeable binary data with varying cluster sizes. Biometrics, 59, 18-24 Pang, Z. & Kuk, A. (2007) Test of marginal compatibility and smoothing methods for exchangeable binary data with unequal cluster sizes. Biometrics, 63, 218-227

See Also

CBData for constructing a CBData object, mc.est for estimating the distribution under marginal compatibility.

Examples

data(shelltox)
mc.test.chisq(shelltox)