Recovery of two- and three-parameter logistic item characteristic curves: A monte carlo study
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Recovery of two- and three-parameter logistic item characteristic curves: A monte carlo study
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1982
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Abstract
This monte carlo study assessed the accuracy of
simultaneous estimation of item and person parameters
in item response theory. Item responses were
simulated using the two- and three-parameter
logistic models. Samples of 200, 500, 1,000, and
2,000 simulated examinees and tests of 15, 30, and
60 items were generated. Item and person parameters
were then estimated using the appropriate
model. The root mean squared error between recovered
and actual item characteristic curves served
as the principal measure of estimation accuracy for
items. The accuracy of estimates of ability was assessed
by both correlation and root mean squared
error. The results indicate that minimum sample
sizes and tests lengths depend upon the response
model and the purposes of an investigation. With
item responses generated by the two-parameter
model, tests of 30 items and samples of 500 appear
adequate for some purposes. Estimates of ability
and item parameters were less accurate in small
sample sizes when item responses were generated by
the three-parameter logistic model. Here samples of
1,000 examinees with tests of 60 items seem to be
required for highly accurate estimation. Tradeoffs
between sample size and test length are apparent,
however.
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Hulin, Charles L, Lissak, Robin I & Drasgow, Fritz. (1982). Recovery of two- and three-parameter logistic item characteristic curves: A monte carlo study. Applied Psychological Measurement, 6, 249-260. doi:10.1177/014662168200600301
Suggested citation
Hulin, Charles L.; Lissak, Robin I.; Drasgow, Fritz. (1982). Recovery of two- and three-parameter logistic item characteristic curves: A monte carlo study. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/101462.
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