KernelEquateFromScoresEG: Apply kernel equating based on two vectors of scores on two...

In CambridgeAssessmentResearch/KernEqWPS: Kernel Equating Without Pre-Smoothing

Apply kernel equating based on two vectors of scores on two forms from equivalent candidates.

Description

Apply kernel equating based on two vectors of scores on two forms from equivalent candidates.

Usage

KernelEquateFromScoresEG(xscores, yscores, hX = NA, hY = NA)

Arguments

xscores	A vector of scores from individual candidates on form X.
yscores	A vector of scores from individual candidates on form Y.
hX	Bandwidth for form X. By default a plug-in estimator from Andersson and von Davier (2014) is used.
hY	Bandwidth for form Y. By default a plug-in estimator from Andersson and von Davier (2014) is used.

Value

The function returns a list with the following elements:

yxFunc

A function that translates any vector of scores on form X into equivalent scores on form Y.

yx

A vector representing the scores derived from applying yxFunc to a sorted list of all the unqiue form X scores that actually occur in the data.

References

Andersson, B., & von Davier, A. A. (2014). Improving the bandwidth selection in kernel equating. Journal of Educational Measurement, 51(3), 223-238.

Examples

#simple example of equating a roughly normally distributed sets of scores to one with a roughly logistic distribution
x=pmax(0,pmin(100,round(rnorm(300,50,15))))
y=pmax(0,pmin(100,round(rlogis(300,60,16))))
hist(x)
hist(y)
KE1=KernelEquateFromScoresEG(x,y)
plot(0:100,KE1$yxFunc(0:100),type='l')

CambridgeAssessmentResearch/KernEqWPS documentation built on Feb. 23, 2024, 9:34 p.m.