Confidence interval for a log-linear contrast of proportion ratios from 2-group studies

Source: R/meta_comp.R

Computes the estimate, standard error, and confidence interval for an exponentiated log-linear contrast of 2-group proportion ratios from two or more studies.

meta.lc.propratio2(alpha, f1, f2, n1, n2, v)

Arguments

alpha

alpha level for 1-alpha confidence

f1

vector of group 1 frequency counts

f2

vector of group 2 frequency counts

n1

vector of group 1 sample sizes

n2

vector of group 2 sample sizes

v

vector of contrast coefficients

Value

Returns 1-row matrix with the following columns:

  • Estimate - estimated log-linear contrast

  • SE - standard error of log-linear contrast

  • exp(Estimate) - exponentiated log-linear contrast

  • exp(LL) - lower limit of the exponentiated confidence interval

  • exp(UL) - upper limit of the exponentiated confidence interval

References

Price RM, Bonett DG (2008). “Confidence intervals for a ratio of two independent binomial proportions.” Statistics in Medicine, 27(26), 5497--5508. ISSN 02776715, doi:10.1002/sim.3376 .

Examples

n1 <- c(50, 150, 150)
f1 <- c(16, 50, 25)
n2 <- c(50, 150, 150)
f2 <- c(7, 15, 20)
v <- c(1, -1, 0)
meta.lc.propratio2(.05, f1, f2, n1, n2, v)
#>            Estimate        SE exp(Estimate)   exp(LL)  exp(UL)
#> Contrast -0.3853396 0.4828218     0.6802196 0.2640405 1.752378

# Should return:
#            Estimate        SE  exp(Estimate)   exp(LL)  exp(UL)
# Contrast -0.3853396 0.4828218      0.6802196 0.2640405 1.752378