@book{dc4dfaed693746e3be215a8f4b9d1901,

title = "Stepwise item selection procedures for Rasch scales using quasi-loglinear models",

abstract = "Two iterative procedures for constructing Rasch scales are presented. A log-likelihood ratio test based on a quasi-loglinear formulation of the Rasch model is given by which one item at a time can be deleted from or added to an initial item set. In the so-called {"}top-down{"} algorithm, items are stepwise deleted from a relatively large initial item set, whereas in the {"}bottom-up{"} algorithm items are stepwise added to a relatively small initial item set. Both algorithms are evaluated through a simulation study with generated data. Item parameters are given for four generated unidimensional data sets and two generated two-dimensional sets. Abilities were randomly sampled from a multivariate normal distribution with a sample size of 1,000. Results for the top-down algorithm were poor, but results for the bottom-up algorithm were more encouraging. It is suggested that alternating the bottom-up algorithm with one or two iterations of the top-down algorithm would allow the procedure to reject items that were added incorrectly in a previous step.",

keywords = "Latent trait theory, Test construction, Test items, Item banks, Simulation, Mathematical models, Statistical analysis, Algorithms, Measures (Individuals), Selection",

author = "Knol, {Dirk L.}",

year = "1989",

language = "English",

series = "OMD research report",

publisher = "University of Twente",

number = "89-3",

address = "Netherlands",

}