It is only a slight exaggeration to describe the test theory that dominates educational measurement today as the application of twentieth-century statistics to nineteenth-century psychology. Sophisticated estimation procedures, new techniques for missing-data problems, and theoretical advances into latent-variable modeling have appeared--all…

This paper reviews the basic elements of the EM approach to estimating item parameters and illustrates its use with one simulated and one real data set. In order to illustrate the use of the BILOG computer program, runs for 1-, 2-, and 3-parameter models are presented for the two sets of data. First is a set of responses from 1,000 persons to five…

An approach was developed based on item-response models defined at the level of salient subject groups rather than at the level of individuals, designed for use with multiple-matrix sampling designs. In each of three National Assessment of Educational Progress (NAEP) mathematics subtopics, Reiser's group-effects latent trait model was fitted to…

Concepts behind plausible values in estimating population characteristics from sparse matrix samples of item responses are discussed. The use of marginal analyses is described in the context of the National Assessment of Educational Progress, and the approach is illustrated with Scholastic Aptitude Test data for 9,075 high school seniors. (SLD)

Recent work in factor analysis of categorical variables is reviewed, emphasizing a generalized least squares solution and a maximum likelihood approach. A common factor model for dichotomous items is introduced, and the estimation of factor loadings from matrices of tetracorrelations is discussed. (LMO)

A method for drawing inferences from complex samples is based on Rubin's approach to missing data in survey research. Standard procedures for drawing such inferences do not apply when the variables of interest are not observed directly, but must be inferred from secondary random variables which depend on the variables of interest stochastically.…

The 63 items on skills in acquiring and using information from written documents contained in the Survey of Young Adult Literacy in the 1985 National Assessment of Educational Progress are analyzed. The analyses are based on a qualitative cognitive model and an item-response theory model. (TJH)