A 1992 study by R. Gershon found discrepancies when comparing the theoretical Rasch item characteristic curve with the average empirical curve for 1,304 vocabulary items administered to 7,711 students. When person-item mismatches were deleted (for any person-item interaction where the ability of the person was much higher or much lower than the…

A previous simulation study of methods for assessing item functioning (DIF) in computer-adaptive tests (CATs) showed that modified versions of the Mantel-Haenszel and standardization methods work well with CAT data. In that study, data were generated using the three-parameter logistic (3PL) model, and this same model was assumed in obtaining item…

The purpose of this book is to make it possible for measurement specialists to solve practical testing problems through the use of item response theory (IRT). The topics, organization, and presentation are those used in a 4-week seminar held each summer for the past several years. The material is organized to facilitate understanding; all related…

Computerized adaptive tests (CATs) make it possible to estimate the ability of each student during the testing process. The computer presents items to students at the appropriate level, and students take different versions of the same test. Computerized testing increases the flexibility of test management in that: (1) tests are given on demand and…

A nominal response model-based computerized adaptive testing procedure (nominal CAT) was implemented using simulated data. Ability estimates from the nominal CAT were compared to those from a CAT based upon the three-parameter logistic model (3PL CAT). Furthermore, estimates from both CAT procedures were compared with the known true abilities used…

The present monte carlo simulation study was designed to examine the effects of multidimensionality during the administration of computerized adaptive testing (CAT). It was assumed that multidimensionality existed in the individuals to whom test items were being administered, i.e., that the correct or incorrect responses given by an individual…

This study introduced a probabilistic model utilizing item response theory (IRT) for dealing with a variety of misconceptions. The model can be used for evaluating the transition behavior of error types, advancement of learning stages, or the stability and persistence of particular misconceptions. Moreover, it apparently can be used for relating…

Major efforts of this project fall into four categories: (1) investigations were performed on the relationship between the dimensionality of a dataset and its underlying cognitive processes; (2) two approaches for diagnosing erroneous rules of operation were developed (an "error vector" system for constructing error diagnostic programs…

The use of item response theory (IRT) is a prerequisite to successful use of computerized test systems. In item response models, as opposed to classical test theory, the abilities of the examinees and the properties of the items are parameterized separately. Therefore, when measuring the abilities of examinees, the model implicitly corrects for…

This paper presents an explanation of the program design of the three separate Pascal-language programs which comprise UCLA's Diagnostic Testing Package "DX." The three parts of the DX test package are three closely interrelated programs--Editest, Runtest, and Summary. Editest serves the following functions: (1) the creation of a…

The development of a Spanish computerized adaptive placement test at Brigham Young University (Utah) is described. The test is based on an approach that locates an examinee's ability along a continuum of latent ability rather than determining the degree to which an individual's ability differs from the abilities of others taking the test, as in…

This paper has shown the advantages of tailored testing over traditional methods, the need for latent trait theory in the application of tailored testing, and some of the results available to show the quality of estimates obtained by tailored testing procedures. Since the tailored testing procedures overcome many of the problems with traditional…

This paper describes two procedures for making binary classification decisions using tailored testing: the sequential probability ratio test (SPRT) and a Bayesian decision procedure. The first procedure described, the SPRT, was developed by Wald for quality control work. It has not been widely applied for testing applications because the…

The four purposes of this study were: (1) To compare two versions of a tailored testing model similar to one suggested by Kalisch (1974); (2) To identify levels of the variables within the two versions, which produce an efficient tailored testing procedures; (3) To compare, within each version, the results obtained when employing relatively small…

Two tailored testing models, specifying procedures by which the correctness of examinees' responses to a fixed number of test items are predicted by presenting as few items as possible to the examinee, were compared for their efficiency. The models differ in that one requires reconsideration of each prediction whenever additional information is…