Intrinsic inference on the rate ratio.

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Description

Intrinsic inference on the rate ratio.

Usage

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intrinsic_phi0(phi0, x, y, S, T, a = 0.5, b = 0, c = 0.5, d = 0,
  beta_range = TRUE, tol = 1e-08, ...)

intrinsic_phi0_sims(phi0, x, y, S, T, a = 0.5, b = 0, c = 0.5, d = 0,
  nsims = 1e+06)

intrinsic_estimate(x, y, S, T, a = 0.5, b = 0, c = 0.5, d = 0,
  otol = 1e-08, ...)

intrinsic_H0(phi.star, alternative, x, y, S, T, a = 0.5, b = 0, c = 0.5,
  d = 0, ...)

intrinsic_bounds(x, y, S, T, a = 0.5, b = 0, c = 0.5, d = 0,
  conf = 0.95, parameter = "phi", otol = 1e-08, ...)

Arguments

phi0

the proxy value of phi

x,y

Observed counts

S,T

sample sizes

a,b,c,d

Prior parameters

beta_range

logical, if TRUE (default), an internal method is used to avoid a possible failure in numerical integration; see the main vignette for details

tol

accuracy requested

...

other arguments passed to integrate

nsims

number of simulations

otol

desired accuracy for optimization

phi.star

the hypothesized value of phi

alternative

alternative hypothesis, "less" for H1: phi0 < phi.star, "greater" for H1: phi0 > phi.star

conf

credibility level

parameter

parameter of interest: relative risk "phi" or vaccine efficacy "VE"

Value

intrinsic_phi0 returns the posterior expected loss, intrinsic_estimate returns the intrinsic estimate, intrinsic_H0 performs intrinsic hypothesis testing, and intrinsic_bounds returns the intrinsic credibility interval.

Examples

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a<-0.5; b<-0; c<-1/2; d<-0; S<-100; T<-S; x<-0; y<-20
intrinsic_phi0(0.5, x, y, S, T, a, b, c, d)
intrinsic_phi0_sims(0.5, x, y, S, T, a, b, c, d)
intrinsic_estimate(x, y, S, T, a, b, c, d)
bounds <- intrinsic_bounds(x, y, S, T, a, b, c, d, conf=0.95); bounds
ppost_phi(bounds[2], a, b, c, d, S, T,  x, y)- ppost_phi(bounds[1], a, b, c, d, S, T, x, y)

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