correct_r_split | R Documentation |

This correction is mathematically equivalent to correcting the correlation for direct range restriction in the split variable.

correct_r_split(r, pi, pa = 0.5, n = NULL)

`r` |
Vector of correlations affected by an uneven or unrepresentative split of a dichotomous variable. |

`pi` |
Vector of proportions of incumbent/sample cases in one of the categories of the dichotomous variable. |

`pa` |
Vector of proportions of applicant/population cases in one of the categories of the dichotomous variable. |

`n` |
Optional vector of sample sizes. |

*r_c = r / (sqrt((pi*(1-pi))/(pa*(1-pa))) * sqrt(((pa*(1-pa))/(pi*(1-pi)) - 1) * r^2 + 1))*

where *sqrt((pi*(1-pi))/(pa*(1-pa)))*, the ratio of the dichotomous variance in the sample (*pi* is the incumbent/sample proportion in one of the two groups) to the dichotomous variance in the population (*pa* is the applicant/population proportion in one of the two groups).
This correction is identical to the correction for univariate direct range restriction, applied to a dichotomous variable.

Vector of correlations corrected for unrepresentative splits (if `n`

is supplied, corrected error variance and adjusted sample size is also reported).

Schmidt, F. L., & Hunter, J. E. (2015).
*Methods of meta-analysis: Correcting error and bias in research findings* (3rd ed.).
Sage. doi: 10.4135/9781483398105. pp. 287-288.

correct_r_split(r = 0.3, pi = .9, pa = .5, n = 100)

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