Compares and combines odds ratios in original and follow-up studies

Source: R/meta_rep.R

This function computes confidence intervals for an odds ratio from an original study and a follow-up study. Confidence intervals for the ratio of odds ratios and geometric average odds ratio are also computed. The confidence level for the ratio of ratios is 1 – 2*alpha, which is recommended for equivalence testing.

replicate.oddsratio(alpha, est1, se1, est2, se2)

Arguments

alpha

alpha level for 1-alpha confidence

est1

estimate of log odds ratio in original study

se1

standard error of log odds ratio in original study

est2

estimate of log odds ratio in follow-up study

se2

standard error of log odds ratio in follow-up study

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 ratio of odds ratios

  • Row 4 estimates the geometric average odds ratio

The columns are:

  • Estimate - odds ratio estimate (single study, ratio, average)

  • SE - standard error

  • z - z-value

  • p - p-value

  • LL - exponentiated lower limit of the confidence interval

  • UL - exponentiated upper limit of the confidence interval

References

Bonett DG (2021). “Design and analysis of replication studies.” Organizational Research Methods, 24(3), 513--529. ISSN 1094-4281, doi:10.1177/1094428120911088 .

Examples

replicate.oddsratio(.05, 1.39, .302, 1.48, .206)
#>                        Estimate        SE          z            p   exp(LL)
#> Original:            1.39000000 0.3020000  4.6026490 4.171509e-06 2.2212961
#> Follow-up:           1.48000000 0.2060000  7.1844660 6.747936e-13 2.9336501
#> Original/Follow-up: -0.06273834 0.3655681 -0.1716188 8.637372e-01 0.5147653
#> Average:             0.36067292 0.1827840  1.9732190 4.847061e-02 1.0024257
#>                      exp(UL)
#> Original:           7.256583
#> Follow-up:          6.578144
#> Original/Follow-up: 1.713551
#> Average:            2.052222

# Should return:
#                          Estimate        SE          z            p
# Original:              1.39000000 0.3020000  4.6026490 4.171509e-06
# Follow-up:             1.48000000 0.2060000  7.1844660 6.747936e-13
# Original/Follow-up:   -0.06273834 0.3655681 -0.1716188 8.637372e-01
# Average:               0.36067292 0.1827840  1.9732190 4.847061e-02
#                         exp(LL)  exp(UL)
# Original:             2.2212961 7.256583
# Follow-up:            2.9336501 6.578144
# Original/Fllow-up:    0.5147653 1.713551
# Average:              1.0024257 2.052222