The effectiveness of smoothing in reducing sample-dependent
errors in equipercentile equating of short
ability or achievement tests is examined. Fourteen
smoothers were examined, 7 applied to the distributions
of scores before equating and 7 applied to the
resulting equipercentile points. The data for the study
included both results of simulations and results obtained
in the operational administration of a large testing
program. Negative hypergeometric presmoothing
was more effective than the other presmoothers.
Among the postsmoothers, both orthogonal regression
and cubic splines were effective, especially the latter.
The use of smoothing methods must be considered in
light of their costs (increases in average signed deviations)
and benefits (decreases in root mean square deviations).
For many purposes, the benefits of smoothing
with the negative hypergeometric may outweigh its
Fairbank, Benjamin A. (1987). The use of presmoothing and postsmoothing to increase the precision of equipercentile equating. Applied Psychological Measurement, 11, 245-262. doi:10.1177/014662168701100303
Fairbank, Benjamin A..
The use of presmoothing and postsmoothing to increase the precision of equipercentile equating.
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