Approximate Bayesian ("MOVER-B") confidence intervals for comparisons of independent binomial or Poisson rates.

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Description

Wrapper function for the MOVER-B methods. Approximate Bayesian confidence intervals for the rate (or risk) difference ("RD") or ratio ("RR") for independent binomial or Poisson rates, or for odds ratio ("OR", binomial only). (developed from Newcombe, Donner & Zou, Li et al, and Fagerland & Newcombe, and generalised as "MOVER-B" in forthcoming publication) including special case "MOVER-J" using non-informative priors with optional continuity correction. This function is vectorised in x1, x2, n1, and n2.

Usage

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moverbci(x1, n1, x2, n2, a1 = 0.5, b1 = 0.5, a2 = 0.5, b2 = 0.5,
  distrib = "bin", contrast = "RD", level = 0.95, cc = 0, ...)

Arguments

x1, x2

Numeric vectors of numbers of events in group 1 & group 2 respectively.

n1, n2

Numeric vectors of sample sizes (for binomial rates) or exposure times (for Poisson rates) in each group.

a1, b1, a2, b2

Numbers defining the Beta(ai,bi) prior distributions for each group (default ai = bi = 0.5 for Jeffreys method). Gamma priors for Poisson rates require only a1, a2.

distrib

Character string indicating distribution assumed for the input data: "bin" = binomial (default), "poi" = Poisson.

contrast

Character string indicating the contrast required: "RD" (default), "RR", or "OR". "p" gives an interval for the single proportion x1/n1.

level

Number specifying confidence level (between 0 and 1, default 0.95).

cc

Number or logical specifying (amount of) continuity correction (default 0).

...

Additional arguments.