composite_u_matrix | R Documentation |

This function estimates the u ratio of a composite variable when at least one matrix of correlations (restricted or unrestricted) among the variables is available.

composite_u_matrix( ri_mat = NULL, ra_mat = NULL, u_vec, wt_vec = rep(1, length(u_vec)), sign_r_vec = 1 )

`ri_mat` |
Range-restricted correlation matrix from which the composite is to be computed (if |

`ra_mat` |
Unrestricted correlation matrix from which the composite is to be computed (if |

`u_vec` |
Vector of u ratios associated with variables in the composite to be formed. |

`wt_vec` |
Weights to be used in forming the composite (by default, all variables receive equal weight). |

`sign_r_vec` |
The signs of the relationships between the variables in the composite and the variable by which range restriction was induced. |

This is computed as:

*u_composite = sqrt((t(wt * u) R_i (wt * u) / (t(wt) R_a wt))*

where *u_composite* is the composite u ratio, *u* is a vector of u ratios, *R_i* is a range-restricted correlation matrix, *R_a* is an unrestricted correlation matrix, and *wt* is a vector of weights.

The estimated *u* ratio of the composite variable.

composite_u_matrix(ri_mat = matrix(c(1, .3, .3, 1), 2, 2), u_vec = c(.8, .8))

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