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Confidence interval for a 2-group Pearson correlation difference

Source: R/statpsych2.R
ci.cor2.Rd

Computes a confidence interval for a difference in population Pearson correlations in a 2-group design. A bias adjustment is used to reduce the bias of each Fisher transformed correlation.

For more details, see Section 2.17 of Bonett (2021, Volume 2)

Usage

ci.cor2(alpha, cor1, cor2, n1, n2)

Arguments

alpha

alpha level for 1-alpha confidence

cor1

estimated Pearson correlation for group 1

cor2

estimated Pearson correlation for group 2

n1

sample size for group 1

n2

sample size for group 2

Value

Returns a 1-row matrix. The columns are:

  • Estimate - estimated correlation difference

  • SE - standard error

  • LL - lower limit of the confidence interval

  • UL - upper limit of the confidence interval

References

Zou GY (2007). “Toward using confidence intervals to compare correlations.” Psychological Methods, 12(4), 399–413. ISSN 1939-1463, doi:10.1037/1082-989X.12.4.399 .

Bonett DG (2021). Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.

Examples

ci.cor2(.05, .64, .31, 200, 200)
#>  Estimate      SE     LL     UL
#>      0.33 0.07692 0.1797 0.4814

# Should return:
# Estimate      SE      LL     UL
#     0.33 0.07692  0.1797 0.4814