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Confidence interval for a linear contrast of proportion differences in 2-group studies

Source: R/meta_comp.R
meta.lc.prop2.Rd

Computes the estimate, standard error, and adjusted Wald confidence interval for a linear contrast of 2-group proportion differences from two or more studies.

For more details, see Section 3.2 of Bonett (2021, Volume 5).

Usage

meta.lc.prop2(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 linear contrast

  • SE - standard error

  • LL - lower limit of the adjusted Wald confidence interval

  • UL - upper limit of the adjusted Wald confidence interval

References

Bonett DG, Price RM (2014). “Meta-analysis methods for risk differences.” British Journal of Mathematical and Statistical Psychology, 67(3), 371–387. ISSN 00071102, doi:10.1111/bmsp.12024 .

Bonett DG (2021). Statistical Methods for Psychologists, Vol 1-5, https://dgbonett.sites.ucsc.edu/.

Examples

n1 <- c(50, 150, 150)
n2 <- c(50, 150, 150)
f1 <- c(16, 50, 25)
f2 <- c(7, 15, 20)
v <- c(1, -1, 0)
meta.lc.prop2(.05, f1, f2, n1, n2, v)
#>             Estimate         SE         LL        UL
#> Contrast -0.05466931 0.09401019 -0.2389259 0.1295873

# Should return:
#             Estimate         SE         LL        UL
# Contrast -0.05466931 0.09401019 -0.2389259 0.1295873