It is a widely held belief that anchor tests should be miniature versions (i.e., minitests), with respect to content and statistical characteristics of the tests being equated. This paper examines the foundations for this belief. It examines the requirement of statistical representativeness of anchor tests that are content representative. The…

"Algebra for everyone" has been a popular reform, though not commonly implemented and not fully evaluated. Through investigation, one might be able to determine whether courses deemed equivalent to a traditional college preparatory algebra course provide an equitable understanding of algebra concepts and skills, while controlling for…

Educators, researchers, and policymakers have considerable interest in how the American educational system compares to those in other countries. One major index for comparison is student academic achievement. This paper links the scale of the "National Assessment of Educational Progress" ("NAEP") to the scale of the "Third International…

The psychometric characteristics of the Test of Written English (TWE) rating scale were explored. Rasch model scalar analysis methodology was employed with more than 4,000 scored essays across 2 elicitation prompts to gather information about the rating scale and rating process. Results suggested that the intervals between TWE scale steps were…

A suggested technique for analyzing distributions of test scores compares distributions of scores made by groups of pupils on standard tests with distributions made by other groups of students on the same tests. By identifying the percents of student scores which must be shifted to an adjacent cell (interval) to make the two distributions exactly…

Two relatively new tools for analysis of data compiled in evaluation studies are presented. The National Test-Equating Study in Reading, known as the Anchor Test Study, produced tables of score-correspondence between the eight reading comprehension and vocabulary tests most widely used in the United States. Two types of tables from this report…

Type I error rates and power were estimated for 10 tests of variance equality under various combinations of the following factors: similar and dissimilar distributional forms, equal and unequal means, and equal and unequal sample sizes. (TJH)

Item response theory equating invariance was examined by simulating vertical equating of two sets of examinee ability data comparing Rasch, three-parameter, and equipercentile equating methods. All three were reasonably invariant, suggesting that multidimensionality is likely to be the cause of lack of invariance found in real data sets. (SLD)

Item response theory (IRT) is having a major impact on the field of testing. This special issue presents an introduction and seven papers concerning developments in IRT applications. Some important IRT research being conducted outside the United States is highlighted. (SLD)

A computer simulation study was conducted to investigate the amount of uncertainty added to National Assessment of Educational Progress estimates by equating error under three different equating methods and while varying a number of factors that might affect accuracy of equating. Data from past NAEP administrations were used to guide the…

MAT and GRE scores were equated by regression, conditional mean, linear and equipercentile methods using data from a sample that had taken both tests. The regression and linear methods were preferred, and shown to be equivalent when the correlation between scales is perfect. (Author/RL)

A computer program providing comprehensive test and item analysis is presented. Completing its performance on one run, the program, written in Fortran and emphasizing ease of use, integrates various statistical techniques for analyzing individual items and the overall test, in addition to generating a variety of standard scores. (Author/JKS)

Presents a characteristic curve procedure for comparing transformations of the item response theory ability scale assuming the multiple-choice model. Illustrates the use of the method with an example equating American College Testing mathematics tests. (SLD)

Compared the observation of children's growth in reading using grade equivalents with that using the Rasch simultaneous vertical equating procedure. Results from equating 25 reading tests show that grade equivalents differ more between two different test forms than do ability measures obtained from the Rasch simultaneous vertical equating. (SLD)

Explored the feasibility of applying a method that incorporates collateral information to equate tests constructed for a college entrance examination by comparing its results with those of item response theory (IRT) true score equating. Simulation results suggest that, overall, equating results based on collateral information are relatively…