Presents componential item response theory as a model-oriented approach to studying processes and strategies underlying the incorrect/correct responses to cognitive test tasks. Results from 417 elementary school students show that combining knowledge of solution strategies with Item Response Theory modeling produced a useful unidimensional scale…

The Level-11 vocabulary subtest of the Iowa Tests of Basic Skills was analyzed using a two-stage latent trait approach and data set of 2,356 examinees, approximately 11 years of age. It is concluded that the nonparametric approach leads to efficient estimation of the latent trait. (SLD)

The validity of the assumptions under which the ordinal true score test theory was derived was examined using (1) simulation based on classical test theory; (2) a long empirical test with data from 321 sixth graders; and (3) an extensive simulation with 480 datasets based on the 3-parameter model. (SLD)