Equating tests under the graded response model
1992
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Equating tests under the graded response model
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1992
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Abstract
The Stocking and Lord (1983) procedure for
computing equating coefficients for tests having
dichotomously scored items is extended to the case
of graded response items. A system of equations
for obtaining the equating coefficients under
Samejima’s (1969, 1972) graded response model is
derived. These equations are used to compute
equating coefficients in two related situations.
Under the first, the equating coefficients are
obtained by matching, on an examinee by
examinee basis, the true scores on two tests. In
the second case, the equating coefficients are
obtained by matching the test characteristic curves
(TCCs) of the two tests. Several examples of
computing equating coefficients in these two
situations are provided. The TCC matching approach
was much less demanding computationally
and yielded equating coefficients that differed little
from those obtained through the true score
distribution matching approach. Index terms:
equating coefficients, graded response model,
quadratic loss function, response function method,
Stocking and Lord equating technique, test equating,
test characteristic curves.
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Previously Published Citation
Baker, Frank B. (1992). Equating tests under the graded response model. Applied Psychological Measurement, 16, 87-96. doi:10.1177/014662169201600111
Suggested citation
Baker, Frank B.. (1992). Equating tests under the graded response model. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/115618.
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