Compares and combines any type of correlation in original and follow-up studies

Source: R/meta_rep.R

This function can be used to compare and combine any type of correlation from an original study and a follow-up study. The confidence level for the difference is 1 – 2*alpha, which is recommended for equivalence testing.

replicate.cor.gen(alpha, cor1, se1, cor2, se2)

Arguments

alpha

alpha level for 1-alpha confidence

cor1

estimated correlation in original study

se1

standard error of correlation in original study

cor2

estimated correlation in follow-up study

se2

standard error of correlation 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 difference in correlations

  • Row 4 estimates the average correlation

The columns are:

  • Estimate - correlation 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

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.cor.gen(.05, .454, .170, .318, .098)
#>                       Estimate         SE         z            p          LL
#> Original:                0.454 0.17000000 2.2869806 0.0221969560  0.06991214
#> Follow-up:               0.318 0.09800000 3.0215123 0.0025151541  0.11522137
#> Original - Follow-up:    0.136 0.19622436 0.6671281 0.5046902807 -0.21543667
#> Average:                 0.386 0.09811218 3.4089419 0.0006521538  0.19606750
#>                              UL
#> Original:             0.7208577
#> Follow-up:            0.4953353
#> Original - Follow-up: 0.4237240
#> Average:              0.5480170

# Should return:
#                       Estimate         SE         z            p          LL        UL
# Original:                0.454 0.17000000 2.2869806 0.0221969560  0.06991214 0.7208577
# Follow-up:               0.318 0.09800000 3.0215123 0.0025151541  0.11522137 0.4953353
# Original - Follow-up:    0.136 0.19622436 0.6671281 0.5046902807 -0.21543667 0.4237240
# Average:                 0.386 0.09811218 3.4089419 0.0006521538  0.19606750 0.5480170