A simulation study of the effects of varying the
item calibration sample size on varying size item
pools was run for the maximum information adaptive
test. Items were calibrated on the three-parameter
logistic model on sample sizes of 500,
1,000, and 2,000. Item pools of 100, 200, or 300
items were developed from the three calibration
sample sizes. Fixed-length adaptive tests of 10, 15,
20, 25, 30, and 35 items were given to a different
group of 500 simulated subjects for each combination
of item pool size and calibration sample size.
Results indicated that high correlations between
ability and estimated ability would be obtained in
any testing if a sufficient number of items were administered.
The reduction of absolute error of ability
estimation was found to require at least 200
items calibrated on 2,000 subjects.
Ree, Malcolm J. (1981). The effects of item calibration sample size and item pool size on adaptive testing. Applied Psychological Measurement, 5, 11-19. doi:10.1177/014662168100500102
Ree, Malcolm James.
The effects of item calibration sample size and item pool size on adaptive testing.
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