compare_cor {TOSTER}R Documentation

Comparing two independent correlation coefficients

Description

A function to compare correlations between studies. This function is intended to be used to compare the compatibility of original studies with replication studies (lower p-values indicating lower compatibility).

Usage

compare_cor(
  r1,
  df1,
  r2,
  df2,
  method = c("fisher", "kraatz"),
  alternative = c("two.sided", "less", "greater", "equivalence", "minimal.effect"),
  null = 0
)

Arguments

r1

Correlation study 1.

df1

Degrees of freedom from study 1 (if a simple correlation the df is N-2).

r2

Correlation study 2.

df2

Degrees of freedom from study 2 (if a simple correlation the df is N-2).

method

Method for determining differences. Default, "z", will use Fisher's transformation, while "Kraatz" will use the Kraatz method.

alternative

a character string specifying the alternative hypothesis, must be one of "two.sided" (default), "greater", "less", "equivalence" (TOST), or "minimal.effect" (TOST). You can specify just the initial letter.

null

a number indicating the null hypothesis. For TOST, this would be equivalence bound.

Details

This function tests for differences between correlations. @return A list with class "htest" containing the following components:

"statistic"

z-score

"p.value"

numeric scalar containing the p-value for the test under the null hypothesis.

"estimate"

difference in SMD between studies

"null.value"

the specified hypothesized value for the null hypothesis.

"alternative"

character string indicating the alternative hypothesis (the value of the input argument alternative). Possible values are "greater", "less", or "two-sided".

"method"

Type of SMD

"data.name"

"Summary Statistics" to denote summary statistics were utilized to obtain results.

"cor"

Correlation input for the function.

"call"

the matched call.

References

Counsell, A., & Cribbie, R. A. (2015). Equivalence tests for comparing correlation and regression coefficients. The British journal of mathematical and statistical psychology, 68(2), 292–309. https://doi.org/10.1111/bmsp.12045

Anderson, S., & Hauck, W. W. (1983). A new procedure for testing equivalence in comparative bioavailability and other clinical trials. Communications in Statistics-Theory and Methods, 12(23), 2663-2692.


[Package TOSTER version 0.7.1 Index]