meta.ave.propratio2 {vcmeta}

Confidence interval for an average proportion ratio from 2-group studies

Description

Computes the estimate, standard error, and confidence interval for a geometric average proportion ratio from two or more studies.

Usage

meta.ave.propratio2(alpha, f1, f2, n1, n2, bystudy = TRUE)

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

bystudy

logical to also return each study estimate (TRUE) or not

Value

Returns a matrix. The first row is the average estimate across all studies. If bystudy is TRUE, there is 1 additional row for each study. The matrix has the following columns:

• Estimate - estimated effect size

• SE - standard error

• LL - lower limit of the confidence interval

• UL - upper limit of the confidence interval

• exp(Estimate) - exponentiated estimate

• 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(204, 201, 932, 130, 77)
n2 <- c(106, 103, 415, 132, 83)
f1 <- c(24, 40, 93, 14, 5)
f2 <- c(12, 9, 28, 3, 1)
meta.ave.propratio2(.05, f1, f2, n1, n2, bystudy = TRUE)

#  Should return:
#           Estimate        SE          LL        UL 
# Average 0.84705608 0.2528742  0.35143178 1.3426804
# Study 1 0.03604257 0.3297404 -0.61023681 0.6823220
# Study 2 0.81008932 0.3442007  0.13546839 1.4847103
# Study 3 0.38746839 0.2065227 -0.01730864 0.7922454
# Study 4 1.49316811 0.6023296  0.31262374 2.6737125
# Study 5 1.50851199 0.9828420 -0.41782290 3.4348469
#     exp(Estimate)   exp(LL)   exp(UL)
# Average  2.332769 1.4211008  3.829294
# Study 1  1.036700 0.5432222  1.978466
# Study 2  2.248109 1.1450730  4.413686
# Study 3  1.473246 0.9828403  2.208350
# Study 4  4.451175 1.3670071 14.493677
# Study 5  4.520000 0.6584788 31.026662