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Exponentiated confidence interval for an average of log-transformed parameters

Source: R/meta_ave.R
meta.ave.gen.log.Rd

Computes the estimate, standard error, and confidence interval for an average of any type of log-transformed parameter (e.g., log mean ratio, log proportion ratio, log odds ratio) from two or more studies, but each study must have the same type of parameter.

For more details, see Chapter 2 of Bonett (2021, Volume 5).

Usage

meta.ave.gen.log(alpha, est, se, bystudy = TRUE)

Arguments

alpha

alpha level for 1-alpha confidence

est

vector of log-transformed parameter estimates

se

vector of standard errors for log-transformed estimates

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 log effect size (from input)

  • SE - standard error of log effect size (from input)

  • LL - lower limit of the confidence interval

  • UL - upper limit of the confidence interval

  • exp(Estimate) - exponentiated estimate

  • LL - lower limit of the exponentiated confidence interval

  • UL - upper limit of the exponentiated confidence interval

References

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

Examples


est <- c(.165, .193, .218)
se <- c(.0684, .0921, .0882)
meta.ave.gen.log(.05, est, se, bystudy = TRUE)
#>         Estimate         SE         LL        UL exp(Estimate)  exp(LL)
#> Average    0.192 0.04823578 0.09745962 0.2865404      1.211671 1.102367
#> Study 1    0.165 0.06840000 0.03093846 0.2990615      1.179393 1.031422
#> Study 2    0.193 0.09210000 0.01248732 0.3735127      1.212883 1.012566
#> Study 3    0.218 0.08820000 0.04513118 0.3908688      1.243587 1.046165
#>          exp(UL)
#> Average 1.331812
#> Study 1 1.348593
#> Study 2 1.452829
#> Study 3 1.478265

# Should return:
#         Estimate         SE         LL        UL exp(Estimate)
# Average    0.192 0.04823578 0.09745962 0.2865404      1.211671
# Study 1    0.165 0.06840000 0.03093846 0.2990615      1.179393
# Study 2    0.193 0.09210000 0.01248732 0.3735127      1.212883
# Study 3    0.218 0.08820000 0.04513118 0.3908688      1.243587
#          exp(LL)  exp(UL)
# Average 1.102367 1.331812
# Study 1 1.031422 1.348593
# Study 2 1.012566 1.452829
# Study 3 1.046165 1.478265