vcmeta (version 1.5.0)

replicate.prop.ps: Compares and combines paired-samples proportion differences in original and follow-up studies

Description

This function computes confidence intervals from an original study and a follow-up study where the effect size is a paired-samples proportion difference. Confidence intervals for the difference and average of effect sizes are also computed. The confidence level for the difference is 1 – 2*alpha, which is recommended for equivalence testing.

Usage

replicate.prop.ps(alpha, f1, f2)

Value

A 4-row matrix. The rows are:

• Row 1 summarizes the original study

• Row 2 summarizes the follow-up study

• Row 3 estimates the difference in proportion differences

• Row 4 estimates the average proportion difference

The columns are:

• Estimate - proportion difference estimate (single study, difference, average)

• SE - standard error

• z - z-value

• p - p-value

• LL - lower limit of the confidence interval

• UL - upper limit of the confidence interval

Arguments

alpha

alpha level for 1-alpha confidence

f1

vector of frequency counts for 2x2 table in original study

f2

vector of frequency counts for 2x2 table in follow-up study

References

• Bonett2021vcmeta

• Bonett2012vcmeta

Examples

f1 <- c(42, 2, 15, 61)
f2 <- c(69, 5, 31, 145)
replicate.prop.ps(.05, f1, f2)

# Should return:
#                           Estimate         SE           z            p
# Original:              0.106557377 0.03440159  3.09745539 1.951898e-03
# Follow-up:             0.103174603 0.02358274  4.37500562 1.214294e-05
# Original - Follow-up:  0.003852359 0.04097037  0.09402793 9.250870e-01
# Average:               0.105511837 0.02048519  5.15064083 2.595979e-07
#                                LL         UL
# Original:              0.03913151 0.17398325
# Follow-up:             0.05695329 0.14939592
# Original - Follow-up: -0.06353791 0.07124263
# Average:               0.06536161 0.14566206