correct_d | R Documentation |

This function is a wrapper for the `correct_r()`

function to correct *d* values
for statistical and psychometric artifacts.

correct_d( correction = c("meas", "uvdrr_g", "uvdrr_y", "uvirr_g", "uvirr_y", "bvdrr", "bvirr"), d, ryy = 1, uy = 1, rGg = 1, pi = NULL, pa = NULL, uy_observed = TRUE, ryy_restricted = TRUE, ryy_type = "alpha", k_items_y = NA, sign_rgz = 1, sign_ryz = 1, n1 = NULL, n2 = NA, conf_level = 0.95, correct_bias = FALSE )

`correction` |
Type of correction to be applied. Options are "meas", "uvdrr_g", "uvdrr_y", "uvirr_g", "uvirr_y", "bvdrr", "bvirr" |

`d` |
Vector of |

`ryy` |
Vector of reliability coefficients for Y (the continuous variable). |

`uy` |
Vector of u ratios for Y (the continuous variable). |

`rGg` |
Vector of reliabilities for the group variable (i.e., the correlations between observed group membership and latent group membership). |

`pi` |
Proportion of cases in one of the groups in the observed data (not necessary if |

`pa` |
Proportion of cases in one of the groups in the population. |

`uy_observed` |
Logical vector in which each entry specifies whether the corresponding uy value is an observed-score u ratio ( |

`ryy_restricted` |
Logical vector in which each entry specifies whether the corresponding rxx value is an incumbent reliability ( |

`ryy_type` |
String vector identifying the types of reliability estimates supplied (e.g., "alpha", "retest", "interrater_r", "splithalf"). See the documentation for |

`k_items_y` |
Numeric vector identifying the number of items in each scale. |

`sign_rgz` |
Vector of signs of the relationships between grouping variables and the selection mechanism. |

`sign_ryz` |
Vector of signs of the relationships between Y variables and the selection mechanism. |

`n1` |
Optional vector of sample sizes associated with group 1 (or the total sample size, if |

`n2` |
Optional vector of sample sizes associated with group 2. |

`conf_level` |
Confidence level to define the width of the confidence interval (default = .95). |

`correct_bias` |
Logical argument that determines whether to correct error-variance estimates for small-sample bias in correlations ( |

Data frame(s) of observed *d* values (`dgyi`

), operational range-restricted *d* values corrected for measurement error in Y only (`dgpi`

), operational range-restricted *d* values corrected for measurement error in the grouping only (`dGyi`

), and range-restricted true-score *d* values (`dGpi`

),
range-corrected observed-score *d* values (`dgya`

), operational range-corrected *d* values corrected for measurement error in Y only (`dgpa`

), operational range-corrected *d* values corrected for measurement error in the grouping only (`dGya`

), and range-corrected true-score *d* values (`dGpa`

).

Alexander, R. A., Carson, K. P., Alliger, G. M., & Carr, L. (1987).
Correcting doubly truncated correlations: An improved approximation for
correcting the bivariate normal correlation when truncation has occurred on
both variables. *Educational and Psychological Measurement, 47*(2), 309–315.
doi: 10.1177/0013164487472002

Dahlke, J. A., & Wiernik, B. M. (2020). Not restricted to selection research:
Accounting for indirect range restriction in organizational research.
*Organizational Research Methods, 23*(4), 717–749. doi: 10.1177/1094428119859398

Hunter, J. E., Schmidt, F. L., & Le, H. (2006). Implications of direct and
indirect range restriction for meta-analysis methods and findings.
*Journal of Applied Psychology, 91*(3), 594–612.
doi: 10.1037/0021-9010.91.3.594

Le, H., Oh, I.-S., Schmidt, F. L., & Wooldridge, C. D. (2016).
Correction for range restriction in meta-analysis revisited:
Improvements and implications for organizational research.
*Personnel Psychology, 69*(4), 975–1008. doi: 10.1111/peps.12122

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. 43–44, 140–141.

## Correction for measurement error only correct_d(correction = "meas", d = .5, ryy = .8, uy = .7, rGg = .9, pi = .7, pa = .5) correct_d(correction = "meas", d = .5, ryy = .8, uy = .7, rGg = .9, pi = NULL, pa = .5, n1 = 100, n2 = 200) ## Correction for direct range restriction in the continuous variable correct_d(correction = "uvdrr_y", d = .5, ryy = .8, uy = .7, rGg = .9, pi = .7, pa = .5) correct_d(correction = "uvdrr_y", d = .5, ryy = .8, uy = .7, rGg = .9, pi = NULL, pa = .5, n1 = 100, n2 = 200) ## Correction for direct range restriction in the grouping variable correct_d(correction = "uvdrr_g", d = .5, ryy = .8, uy = .7, rGg = .9, pi = .7, pa = .5) correct_d(correction = "uvdrr_g", d = .5, ryy = .8, uy = .7, rGg = .9, pi = NULL, pa = .5, n1 = 100, n2 = 200) ## Correction for indirect range restriction in the continuous variable correct_d(correction = "uvdrr_y", d = .5, ryy = .8, uy = .7, rGg = .9, pi = .7, pa = .5) correct_d(correction = "uvdrr_y", d = .5, ryy = .8, uy = .7, rGg = .9, pi = NULL, pa = .5, n1 = 100, n2 = 200) ## Correction for indirect range restriction in the grouping variable correct_d(correction = "uvirr_g", d = .5, ryy = .8, uy = .7, rGg = .9, pi = .7, pa = .5) correct_d(correction = "uvirr_g", d = .5, ryy = .8, uy = .7, rGg = .9, pi = NULL, pa = .5, n1 = 100, n2 = 200) ## Correction for indirect range restriction in the continuous variable correct_d(correction = "uvdrr_y", d = .5, ryy = .8, uy = .7, rGg = .9, pi = .7, pa = .5) correct_d(correction = "uvdrr_y", d = .5, ryy = .8, uy = .7, rGg = .9, pi = NULL, pa = .5, n1 = 100, n2 = 200) ## Correction for direct range restriction in both variables correct_d(correction = "bvdrr", d = .5, ryy = .8, uy = .7, rGg = .9, pi = .7, pa = .5) correct_d(correction = "bvdrr", d = .5, ryy = .8, uy = .7, rGg = .9, pi = NULL, pa = .5, n1 = 100, n2 = 200) ## Correction for indirect range restriction in both variables correct_d(correction = "bvirr", d = .5, ryy = .8, uy = .7, rGg = .9, pi = .7, pa = .5) correct_d(correction = "bvirr", d = .5, ryy = .8, uy = .7, rGg = .9, pi = NULL, pa = .5, n1 = 100, n2 = 200)

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