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…

Research on the Rasch model of test and item analysis was applied to tests constructed from item banks for reading and mathematics with respect to five practical problems for scaling items and equating test forms. The questions were: (1) Does the Rasch model yield the same scale value regardless of the student sample? (2) How many students are…

Simple sum procedure of the conditional PDF approach (plausiblity of distractor function) combined with the normal approach method was applied for estimating the plausibility functions of the distractors of the Level II vocabulary subtest items of the Iowa Tests of Basic Skills. In so doing, the normal ogive model was adopted for the correct…

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 study investigated the feasibility of the use of the three-parameter item response theory (IRT) model in Florida's minimum competency testing program. The paper includes the following sections: (1) a description of the procedures currently being used by the assessment program, with an emphasis on procedures currently involving the Rasch…

Monte Carlo techniques are used to examine the power of the "B" statistic of R. L. Brennan (1972) to detect negatively discriminating items drawn from a variety of nonnormal population distributions. A simplified procedure is offered for conducting an item-discrimination analysis on typical classroom objective tests. (SLD)

The use of a three-parameter logistic model for applying latent trait theory has become more popular because of the availability of computer programs. The program Logist 5 can be used not only for the item parameter estimation in the three-parameter logistic model, but also in the two parameter logistic model by setting the third parameter equal…

Reading test data from the National Assessment of Educational Progress (NAEP) were scaled using the unidimensional item response theory model. Data were collected for students aged 9, 13, and 17. To determine whether the responses to the reading items were consistent with unidimensionality, four different methods were applied: (1) principal…

Newman (1984) examined the causal relations between math self-concept and math achievement in an 8-year longitudinal study using Linear Structural Relations (LISREL) analyses. He concluded that math self-concept did not influence subsequent math achievement. However, the study suffered in that math self-concept was inferred from a single-item…

This study investigated the feasibility of using the three-parameter model in Florida's minimum competency testing program. LOGIST 4 was used to analyze 1984 Statewide Student Assessment Tests (SSAT)-II data, exploring possibilities that easiness of the test would cause problems in the estimation of the a and c parameters. These problems and…

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…

This study compares the fit of the 3-parameter model to the Ability Removing Random Guessing (ARRG) model on data from a wide range of tests of cognitive ability in three representative samples. When the guessing parameters under the 3-parameter model are estimated individually for each item, the 3-parameter model yields the better fit to…

TAILOR is a computer program that uses the implied orders concept as the basis for computerized adaptive testing. The basic characteristics of TAILOR, which does not involve pretesting, are reviewed here and two studies of it are reported. One is a Monte Carlo simulation based on the four-parameter Birnbaum model and the other uses a matrix of…

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)

Greater knowledge about the practical application of Rasch technology can help in avoiding misapplications and confusions in testing programs. Equal interval curriculum-based scaling makes possible the following improvements in measuring basic skills achievement by enabling testing programs to: (1) individualize the difficulty level of…