This study addresses a gap in the literature on mathematical modeling education by developing the mathematical modeling knowledge scale (MMKS). The MMKS is a quantitative tool created to assess teachers' knowledge of the nature of mathematical modeling. Quantitative instruments to measure modeling knowledge is scare in the literature partially due…

Test items are designed to be representative of the subject areas that they measure and to reflect the importance of specific domains or item types within those subject areas. Content validity is achieved by content specification and number of items in each content domain included in the design of the test. However, largely due to the normal…

The aim of this paper is to explore the Rasch model as a criterion of test homogeneity. Two empirical studies are presented to demonstrate this usage. From these studies it is argued that statistical tests of item characteristic curve (ICC) slopes are not sufficient in testing for heterogeneity. Tests of equality of ICC's over groups of subject…

The phenomenon of simultaneous differential item functioning (DIF) amplification and cancellation and the role of the SIBTEST approach in detecting DIF are investigated with a variety of simulated test data. The effectiveness of SIBTEST is supported, and the implications of DIF amplification and cancellation are discussed. (SLD)

National Assessment of Educational Progress (NAEP) Mathematics Assessment (1982) data were analyzed using latent class models to determine patterns of distinct skills required by different exercises and to estimate the pattern distributions. The populations were 9-, 13-, and 17-year-old examinees. Skills were assumed to be intermediate between…

This volume and its companion, "Part 2," bring together transactions of the Rasch measurement special interest group of the American Educational Research Association. This volume opens with a discussion of the early years in Rasch measurement and then presents the "transactions" in chronological order, from a 1987 discussion…

This volume and its companion, "Part 1," bring together transactions of the Rasch measurement special interest group of the American Educational Research Association. It presents "transactions" in chronological order, from a 1992 discussion through the winter 1995 volume. Four issues of the "Transactions" are…

Three different applications of the testlet concept are presented, and the psychometric models most suitable for each application are described. Difficulties that testlets can help overcome include (1) context effects; (2) item ordering; and (3) content balancing. Implications for test construction are discussed. (SLD)

This videotape contains a series of presentations by Benjamin D. Wright of the University of Chicago about the Rasch model and measurement in testing. The first presentation is excerpts from a workshop held in 1974 for educators from the Portland (Oregon) Public Schools and the Oregon Department of Education. Dr. Wright's lectures were part of a…

The potential value of developing item banks that would both guarantee the quality of teacher-made examinations and allow for national comparison of student achievement is described. Use of Rasch model methods, rather than classical item analysis techniques, to calibrate the items for these banks is illustrated. (BS)

This book shows the advantages of Rasch measurement (G. Rasch) for school district testing programs. The results of Rasch methods are contrasted with conventional statistics for assessing student responses to basic skills testing. Chapter 1 shows how the Rasch probability-based method produces measures that are more useful for students, parents,…

For many years personalization of achievement testing has been impossible in all but the simplest forms. Recently, item response theory (IRT), or latent trait theory, has emerged as a valuable tool which brings far greater flexibility to the process than had previously been possible. The single parameter Rasch Model, a mathematical model developed…

The use of restrictive factor analysis (RFA) is illustrated with data from the field of educational research. An attitude scale measuring the degree to which students feel they are accepted by their classmates is constructed in accordance with the Theory of Violators. The main idea of the Theory of Violators is that most problems associated with…

Across the field of educational assessment the case has been made for alternatives to the multiple-choice item type. Most of the alternative types of items require a subjective evaluation by a rater. The reliability of this subjective rating is a key component of these types of alternative items. In this paper, measures of reliability are…

Item response data were obtained from large samples of students in Grades K-community college, taking the following tests: Stanford Early School Achievement Test, Stanford Achievement Test, Stanford Test of Academic Skills, Stanford Diagnostic Reading Test, and Stanford Diagnostic Mathematical Test. Data were classified as fitting or non-fitting…