Specifying Ability Growth Models Using a Multidimensional Item Response Model for Repeated Measures Categorical Ordinal Item Response Data.
When categorical ordinal item response data are collected over multiple timepoints from a repeated measures design, an item response theory (IRT) modeling approach whose unit of analysis is an item response is suitable. This study proposes a few longitudinal IRT models and illustrates how a popular compensatory multidimensional IRT model can be utilized to formulate such longitudinal IRT models, which permits an investigation of ability growth at both individual and population levels. The equivalence of an existing multidimensional IRT model and those longitudinal IRT models is also elaborated so that one can make use of an existing multidimensional IRT model to implement the longitudinal IRT models.
a Educational Psychology & Learning Systems , Florida State University.
Insu
I
Paek
b eMetric.
Zhen
Z
Li
c Department of Education , Seoul National University.
Hyun-Jeong
HJ
Park
D000465:Algorithms; D001077:Aptitude Tests; D003627:Data Interpretation, Statistical; D006801:Humans; D007807:Language Tests; D016014:Linear Models; D055361:Multilevel Analysis / Q000379:methods*; D017711:Nonlinear Dynamics; D002666:Psychology, Child / Q000379:methods; D012107:Research Design; D013997:Time Factors
IRT for longitudinal data analysis; IRT for repeated measures data; IRT growth modeling; multidimensional IRT