On the basis of monte carlo runs, in which
item response data were generated for a variety of
test characteristics, procedures for estimating item
and ability parameters for homogeneous, unidimensional
tests are developed on the assumption
that values of the slope parameter a and the guessing
parameter c are constant over items. The
procedures focus on estimates of the a parameter,
regarded as an important statistic for characterizing
an ability. This parameter is estimated from
person characteristic functions for different levels
of the total raw score distribution. The procedures
can be applied to datasets with relatively small or
very large Ns and with either relatively small or
large numbers of items. They are illustrated with
data from several cognitive ability tests. Index
terms: cognitive ability tests, homogeneous tests, item
parameter estimation, item response theory, person
Carroll, John B. (1990). Estimating item and ability parameters in homogeneous tests with the person characteristic function. Applied Psychological Measurement, 14, 109-125. doi:10.1177/014662169001400201
Carroll, John B..
Estimating item and ability parameters in homogeneous tests with the person characteristic function.
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