Large sample standard errors of linear equating for the single-group design are derived without making the normality assumption. Two general methods based on the delta method of M. Kendall and A. Stuart (1977) are described. One method uses the exact partial derivatives, and the other uses numerical derivatives. Simulation using the beta-binomial…

Equating tests from different calibrations under item response theory (IRT) requires calculation of the slope and intercept of the appropriate linear transformation. Two methods have been proposed recently for equating graded response items under IRT, a test characteristic curve method and a minimum chi-square method. These two methods are…

The development of a valid measure of academic performance through the application of existing statistical methodology in a new manner was studied. Focus was on analyzing the predictive validity of traditional pre-admissions measures in determining overall academic performance in college. This new criterion, termed a Universal Scale for Grades, is…

In item response theory (IRT), preequating depends upon item parameter estimate invariance. Three separate simulations, all using the unidimensional three-parameter logistic item response model, were conducted to study the impact of the following variables on preequating: (1) mean differences in ability; (2) multidimensionality in the data; and…

Several techniques have been developed for creating continuous smooth distributions of test norms. This paper describes two studies that explore the behavior of cubic splines in order to determine their appropriateness for use in test norming. The first study uses data from the Curriculum Referenced Tests of Mastery (CRTM) and employs two…

Combinations of five methods of equating test forms and two methods of selecting samples of students for equating were compared for accuracy. The two sampling methods were representative sampling from the population and matching samples on the anchor test score. The equating methods were: (1) the Tucker method; (2) the Levine method; (3) the…

The proponents of test disclosure argue that disclosure is a matter of fairness; the opponents argue that fairness is enhanced by score equating which is dependent on test security. This research simulated disclosure on a professional licensing examination by placing response keys to selected items in some examinees' records, and comparing their…

This document reports on the procedures and results of the Atlanta Public Schools (APS) testing program in changing from the Iowa Tests of Basic Skills (ITBS), administered to grades 1 through 7 from 1973-79, to the California Achievement Tests (CAT), Form C, administered in Spring 1980 to provide a continuous testing program from the elementary…

The nine aptitudes measured by the General Aptitude Test Battery (GATB) are intelligence, verbal aptitude, numerical aptitude, spatial aptitude, form perception, clerical perception, motor coordination, finger dexterity; and manual dexterity. This revised test manual presents: (1) percentile equivalents of aptitude or standard scores for adults,…

The development and norming of a Spanish language edition of the United States Employment Service (USES) General Aptitude Test Battery (GATB) is described. The new edition, called the Bateria de Examenes de Aptitud General (BEAG), was designed to replace an earlier translation, the BGPA, prepared for use in Puerto Rico. Forms A and B were…

The Title I Evaluation and Reporting System (TIERS) was mandated to meet the requirements of the 1974 amendments to the Elementary and Secondary Education Act. It was hoped that TIERS would lead to a clear report of the effectiveness of Title I programs, based upon a synthesis of nationwide data. It has been extremely difficult to compare…

Criticisms of norm referenced standardized tests are contrasted with the assumption and claims of proponents of Rasch model testing and item banking. The Rasch test theory model is based on the assumption of equal interval curriculum referenced scales for both students' abilities and test item difficulties. The Portland school district has…

A DISCUSSION WAS PRESENTED ON THE PROCEDURES OF EQUATING DIVERSE ABILITY SCORES OBTAINED BY DIFFERENT SCALED MEASURES. THE AUTHOR INDICATED THE NECESSITY OF EQUATING SUCH SCORES WHEN ABILITY IS TO BE TREATED AS A SINGLE INDEPENDENT VARIABLE IN SIGNIFICANCE TESTS AND IN COMPARATIVE ANALYSES OF DICHOTOMIZED GROUPS. A NEW RATIONALE FOR EQUATING…

A minimum standards amendment to the New Jersey Public School Act of 1975 requires the testing of public school students to determine proficiency in the minimum basic skills of reading and mathematics, under the auspices of the New Jersey State Department of Education's Educational Assessment Program. To meet the mandates of this amendment, the…

An explanation is given of what is meant by "sample-free" item calibration and by "item-free" person measurement as these terms are applied to the one-parameter logistic test theory model of Georg Rasch. When the difficulty of an item is calibrated separately for two different samples the results may differ; but, according the…