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

Source: R/meta_rep.R
replicate.cor.gen.Rd

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.

For more details, see Chapter 4 of Bonett (2021, Volume 5).

Usage

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 .

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

Examples

replicate.cor.gen(.05, .454, .170, .318, .098)
#>                       Estimate      SE     z     p      LL     UL
#> Original:                0.454 0.17000 2.287 0.022  0.0699 0.7209
#> Follow-up:               0.318 0.09800 3.022 0.003  0.1152 0.4953
#> Original - Follow-up:    0.136 0.19622 0.667 0.505 -0.2154 0.4237
#> Average:                 0.386 0.09811 3.409 0.001  0.1961 0.5480

# Should return:
#                       Estimate      SE     z     p      LL     UL
# Original:                0.454 0.17000 2.287 0.022  0.0699 0.7209
# Follow-up:               0.318 0.09800 3.022 0.003  0.1152 0.4953
# Original - Follow-up:    0.136 0.19622 0.667 0.505 -0.2154 0.4237
# Average:                 0.386 0.09811 3.409 0.001  0.1961 0.5480