This study was designed to assess the effects on
parameter estimation of correlated dimensions and
a distribution-restricted trait on one dimension
using a two-dimensional item response theory
model. Multidimensional analysis of simulated
two-dimensional item response data fitting a multidimensional
two-parameter logistic item response
theory model (McKinley & Reckase, 1983a; Reckase
& McKinley, 1991) was done using the program
MIRTE (Carlson, 1987). Six datasets (2 trait distributions
x 3 levels of correlation between dimensions)
of 2,000 trait vectors over 104 items were
generated. Each dataset was analyzed and replicated
100 times. Trait and item parameters generally
were recovered adequately in the datasets in which
both traits were normally distributed over the full
range. In the datasets with a restricted range of
trait level on the second dimension, recovery of the
trait and item parameters was affected adversely.
The results indicated that MIRTE recovers the structure
of a multidimensional correlated space better
than reported in earlier studies, especially when
items are multidimensional. Index terms: correlated
traits, multidimensional item parameter estimates,
multidimensional item response theory, multidimensional
trait estimates, restricted traits.
Batley, Rose-Marie & Boss, Marvin W. (1993). The effects on parameter estimation of correlated dimensions and a distribution-restricted trait in a multidimensional item response model. Applied Psychological Measurement, 17, 131-141. doi:10.1177/014662169301700203
Batley, Batley; Boss, Marvin W..
The effects on parameter estimation of correlated dimensions and a distribution-restricted trait in a multidimensional item response model.
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