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SNSequate (version 1.3-4)

PREp: Percent relative error

Description

This function calculates the percent relative error as described in Von Davier et al. (2004).

Usage

PREp(eq, p)

Value

A matrix containing the PREp for both X to Y (first column) and Y to X

(second column) cases.

Arguments

eq

An object of class ker.eq previously obtained using ker.eq.

p

The number of moments to be calculated.

Author

Jorge Gonzalez jorge.gonzalez@mat.uc.cl

Details

PREp (when equating form X to Y) is calculated as $$\mbox{PREp}=100\frac{\mu_p(e_Y(X))-\mu_p(Y)}{\mu_p(Y)}$$ where \(\mu_p(Y)=\sum_k(y_k)^ps_k\) and \(\mu_p(e_Y(X))=\sum_j(e_Y(x_j))^pr_j\). Similar formulas can be found when equating from Y to X.

References

Gonzalez, J. (2014). SNSequate: Standard and Nonstandard Statistical Models and Methods for Test Equating. Journal of Statistical Software, 59(7), 1-30.

Von Davier, A., Holland, P., and Thayer, D. (2004). The Kernel Method of Test Equating. New York, NY: Springer-Verlag.

See Also

ker.eq

Examples

Run this code
#Example: Table 7.5 in Von Davier et al. (2004)

data(Math20EG)
mod.gauss<-ker.eq(scores=Math20EG,kert="gauss", hx = NULL, hy = NULL,degree=c(2, 3),design="EG")
PREp(mod.gauss,10)

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