The three-, two- and one-parameter (Rasch) logistic item characteristic curve models are compared for use in a large multi-section college course. Only the three-parameter model produced clearly unacceptable parameter estimates for 100 item tests with examinee samples ranging from 594 to 1082. The Rasch and two-parameter models were compared for…

By means of computer simulation of test responses, the reliability of item analysis data and the accuracy of equating were examined for hypothetical samples of 250, 500, 1000, and 2000 subjects for two tests with 20 equating items plus 60 additional items on the same scale. Birnbaum's three-parameter logistic model was used for the simulation. The…

A general process for testing the feasibility of applying alternative mathematical or statistical models to the solution of a practical problem is presented and flowcharted. The system is used to develop a plan to compare models for test equating. The five alternative models to be considered for equating are: (1) anchor test equating using…

The Rasch model is described as a latent trait model which meets the five criteria that characterize reasonable and objective measurements of an individual's ability independent of the test items used. The criteria are: (1) calibration of test items must be independent of particular norming groups; (2) measurement of individuals must be…

Three different computational procedures for equating two forms of a test were applied to a pair of mathematics tests to compare the results of the three procedures. The tests that were being equated were two forms of the SRA Mastery Mathematics Tests. The common, linking test used for equating was the Comprehensive Tests of Basic Skills, Form S,…

In order to meet the needs of all the Armed Services, new forms of the Armed Services Vocational Aptitude Battery (ASVAB) must periodically be developed, refined, and standardized on an appropriate normative sample. Since one of the uses of the ASVAB is to determine candidate suitability for military service, it is necessary for the…

The purposes of this paper are: (1) to review some of the major studies of applications of item response theory (IRT) methodology to test equating and synthesize their results; (2) to discuss what questions are as yet unanswered and what problems exist with research methodology; and (3) to provide direction for future research. (Author/LMO)

This article reviews developments in the field of educational measurement over the preceding 20 years, focusing on criterion-referenced measurement, item response theory, standard-setting methods, and equating methods. (TJH)

Is it possible to translate an existing test from the source language to a target language and then to empirically link the translated test to the source language standard? Some tests are amenable to translation of their content and some are not. Within tests, some items may be translatable and others may not. Some items may measure meaningful…

This report is a review and analysis of the psychometric literature on the topic of out-of-level testing. Out-of-level testing refers to the practice of using a level of the test other than the test taken by most of the students in a student's current grade level. Much of the research on out-of-level testing was conducted in the 1970s and 1980s,…

Type I error rates for Yao's, James' first-order and second-order, and Johansen's tests of equality of mean vectors for two independent samples were estimated for various conditions defined by the degree of heteroscedasticity and nonnormality. Each procedure can be seriously nonrobust with exponential and log-normal distributions. (TJH)

Equating error was estimated using the same test with three linear equating methods in three paradigms--single-link equating; circular equating through a chain; and pseudo-circular equating, in which a test is equated to itself through equating chains. Over 31,000 Psychometric Entrance Test scores of college applicants in Israel were analyzed.…

There is a tendency in the literature to characterize linking as equating done somewhat less rigorously. The ambiguity of this conception can lead to confusion amongst policy-makers and members of the public and can result in the proliferation of comparability myths. As the constructs assessed by two tests decrease in similarity, so the difference…

Thirty middle- to upper middle-class monolingual Dutch speaking families consisting of at least a mother and a father completed the Infant Form "Words and Gestures" of the Dutch adaptation of the MacArthur Communicative Development Inventory for the same child at 1;1. Considerable inter- and intrafamily variation emerged in how two (or three)…

The FACETS equating model meets the complex requirements for equating writing performance assessment across both raters and prompts. This study is based on an equating of the 1996 writing performance assessment in the Minneapolis Public Schools (Minnesota). Raters and prompts were equated simultaneously using the FACETS model. About 3,000 fifth…