We explain how to simulate both univariate and bivariate raw data sets having specified values for common summary statistics. The first example illustrates how to "construct" a data set having prescribed values for the mean and the standard deviation--for a one-sample t test with a specified outcome. The second shows how to create a bivariate data…

Equating functions are supposed to be population invariant, meaning that the choice of subpopulation used to compute the equating function should not matter. The extent to which equating functions are population invariant is typically assessed in terms of practical difference criteria that do not account for equating functions' sampling…

An Angoff method and a frequency estimation equipercentile equating method were compared, using data from three forms of a 200-item multiple-choice certification test. Data requirements are fewer and computational requirements less burdensome for the former than for the latter method. However, results of the two methods are not interchangeable.…

It is a widely held belief that an anchor test used in equating should be a miniature version (or "minitest") of the tests to be equated; that is, the anchor test should be proportionally representative of the two tests in content and statistical characteristics. This paper examines the scientific foundation of this belief, especially…

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…

Understanding that the behavior of people takes place within a context, over the past 20 years research in education and the sport sciences has witnessed an increasing development of multilevel frameworks that are both conceptually and methodologically sound. Despite these advances, the use of multilevel models and research designs in education…

TO DETERMINE HOW EFFECTIVELY THE COOPERATIVE ENGLISH TEST PREDICTS STUDENT SUCCESS IN FRESHMAN ENGLISH AT STOCKTON COLLEGE, THIS STUDY WAS CONDUCTED (1) TO OBTAIN STATISTICAL COMPARISONS BETWEEN FINAL SEMESTER GRADES OF A SAMPLE OF THE COLLEGE TRANSFER POPULATION WITH THE WHOLE TEST AND EACH OF ITS PARTS, (2) TO ANALYZE BY PERCENTAGES THE…

Goodness of fit of raw test score data were compared, using two latent trait models: the Rasch model and the Birnbaum three-parameter logistic model. Data were taken from various achievement tests and the Scholastic Aptitude Test (Verbal). A minimum sample size of 1,000 was required, and the minimum test length was 40 items. Results indicated that…