estimate_var_rho_int {psychmeta} | R Documentation |
Non-linear estimate of variance of \rho
corrected for psychometric artifacts using numeric integration
Description
Functions to estimate the variance of \rho
corrected for psychometric artifacts. These functions integrate over the residual distribution of correlations from an interactive artifact-distribution meta-analysis to non-linearly estimate the variance of \rho
.
Available functions include:
estimate_var_rho_int_meas
: Variance of\rho
corrected for measurement error onlyestimate_var_rho_int_uvdrr
: Variance of\rho
corrected for univariate direct range restriction (i.e., Case II) and measurement errorestimate_var_rho_int_bvdrr
: Variance of\rho
corrected for bivariate direct range restriction and measurement errorestimate_var_rho_int_uvirr
: Variance of\rho
corrected for univariate indirect range restriction (i.e., Case IV) and measurement errorestimate_var_rho_int_bvirr
: Variance of\rho
corrected for bivariate indirect range restriction (i.e., Case V) and measurement errorestimate_var_rho_int_rb
: Variance of\rho
corrected using Raju and Burke's correction for direct range restriction and measurement error
Usage
estimate_var_rho_int_meas(mean_qx, mean_qy, var_res)
estimate_var_rho_int_uvdrr(
mean_rxyi,
mean_rtpa,
mean_qxa,
mean_qyi,
mean_ux,
var_res
)
estimate_var_rho_int_uvirr(
mean_rxyi,
mean_rtpa,
mean_qxi,
mean_qyi,
mean_ut,
var_res
)
estimate_var_rho_int_bvirr(mean_qxa, mean_qya, mean_ux, mean_uy, var_res)
estimate_var_rho_int_bvdrr(
mean_rxyi,
mean_rtpa,
mean_qxa,
mean_qya,
mean_ux,
mean_uy,
var_res
)
estimate_var_rho_int_rb(
mean_rxyi,
mean_rtpa,
mean_qx,
mean_qy,
mean_ux,
var_res
)
Arguments
mean_qx |
Mean square root of reliability for X. |
mean_qy |
Mean square root of reliability for Y. |
var_res |
Residual variance from an interative artifact distribution (i.e., variance of observed correlations minus predicted error variance and predicted artifact variance). |
mean_rxyi |
Mean observed correlation. |
mean_rtpa |
Mean corrected correlation. |
mean_qxa |
Mean square root of unrestricted reliability for X. |
mean_qyi |
Mean square root of restricted reliability for Y. |
mean_ux |
Mean observed-score u ratio for X. |
mean_qxi |
Mean square root of restricted reliability for X. |
mean_ut |
Mean true-score u ratio for X. |
mean_qya |
Mean square root of unrestricted reliability for Y. |
mean_uy |
Mean observed-score u ratio for Y. |
Value
A vector of non-linear estimates of the variance of rho.
Notes
estimate_var_rho_int_meas
and estimate_var_rho_int_bvirr
do not make use of numeric integration because they are linear functions.
References
Law, K. S., Schmidt, F. L., & Hunter, J. E. (1994). Nonlinearity of range corrections in meta-analysis: Test of an improved procedure. Journal of Applied Psychology, 79(3), 425–438. doi:10.1037/0021-9010.79.3.425