Confidence Intervals and Tests for Comparisons of Binomial
Proportions or Poisson Rates
Description
Computes confidence intervals for binomial or Poisson rates and
their differences or ratios. Including the rate (or risk)
difference ('RD') or rate ratio (or relative risk, 'RR') for binomial
proportions or Poisson rates, and odds ratio ('OR', binomial only).
Also confidence intervals for RD, RR or OR for paired binomial data,
and estimation of a proportion from clustered binomial data.
Includes skewness-corrected asymptotic score ('SCAS') methods,
which have been developed in Laud (2017)
from Miettinen and Nurminen (1985)
and Gart and Nam (1988) , and in
Laud (2025, under review) for paired proportions. The same score produces
hypothesis tests that are improved versions of the non-inferiority test
for binomial RD and RR by Farrington and Manning (1990)
, or a generalisation of the McNemar test for
paired data. The package also includes MOVER methods (Method Of Variance
Estimates Recovery) for all contrasts, derived from the Newcombe
method but with options to use equal-tailed intervals in place of the
Wilson score method, and generalised for Bayesian applications
incorporating prior information. So-called 'exact' methods for
strictly conservative coverage are approximated using continuity
adjustments, and the amount of adjustment can be selected to avoid
over-conservative coverage. Also includes methods for stratified
calculations (e.g. meta-analysis), either with fixed effect assumption
(matching the CMH test) or incorporating stratum heterogeneity.