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Computes the estimate and standard error for a 2-group proportion difference

Source: R/meta_se.R
se.prop2.Rd

This function computes the Price-Bonett standard error of a 2-group proportion difference using the frequency counts, sample sizes, and planned number of studies in the meta-analysis. The effect size estimate and standard error output from this function can be used as input in the meta.ave.gen, meta.lc.gen, and meta.lm.gen functions in applications where compatible proportion differences from a combination of 2-group and paired-samples studies are used in the meta-analysis.

Usage

se.prop2(f1, f2, n1, n2, m)

Arguments

f1

number of participants in group 1 who have the outcome

f2

number of participants in group 2 who have the outcome

n1

sample size for group 1

n2

sample size for group 2

m

number of studies in planned meta-analysis

Value

Returns a one-row matrix:

  • Estimate - adjusted estimate of proportion difference

  • SE - standard error of adjusted estimate

References

Price RM, Bonett DG (2004). “An improved confidence interval for a linear function of binomial proportions.” Computational Statistics and Data Analysis, 45(3), 449–456. ISSN 01679473, doi:10.1016/S0167-9473(03)00007-0 . 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 .

Examples

se.prop2(31, 16, 40, 40, 5)
#>                          Estimate        SE
#> Proportion difference:  0.3712871 0.1014819

# Should return:
#                          Estimate        SE
# Proportion difference:  0.3676471 0.1011817