R/meta_rep.R
replicate.prop1.RdThis function computes confidence intervals for a single proportion from an original study and a follow-up study. Confidence intervals for the difference between the two proportions and average of the two proportions are also computed. The confidence level for the difference is 1 – 2*alpha, which is recommended for equivalence testing.
replicate.prop1(alpha, f1, n1, f2, n2)alpha level for 1-alpha confidence
frequency count in original study
sample size in original study
frequency count in follow-up study
sample size for in follow-up study
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 proportions
Row 4 estimates the average proportion
The columns are:
Estimate - proportion estimate (single study, difference, average)
SE - standard error
LL - lower limit of the confidence interval
UL - upper limit of the confidence interval
Bonett DG (2021). “Design and analysis of replication studies.” Organizational Research Methods, 24(3), 513--529. ISSN 1094-4281, doi:10.1177/1094428120911088 .
replicate.prop1(.05, 21, 300, 35, 400)
#> Estimate SE LL UL
#> Original: 0.07565789 0.01516725 0.04593064 0.10538515
#> Follow-up: 0.09158416 0.01435033 0.06345803 0.11971029
#> Original - Follow-up: -0.01670456 0.02065098 -0.05067239 0.01726328
#> Average: 0.08119996 0.01032549 0.06096237 0.10143755
# Should return:
# Estimate SE LL UL
# Original: 0.07565789 0.01516725 0.04593064 0.10538515
# Follow-up: 0.09158416 0.01435033 0.06345803 0.11971029
# Original - Follow-up: -0.01670456 0.02065098 -0.05067239 0.01726328
# Average: 0.08119996 0.01032549 0.06096237 0.10143755