Applied the theory of exponential families of distributions to the problem of fitting the univariate histograms and discrete bivariate frequency distributions that often arise in the analysis of test scores. Considers efficient computation of the maximum likelihood estimates of the parameters using Newton's Method and computationally efficient…

Because it is sensitive to variability and permits partitioning of a distribution into the tails and center, the Hedges and Friedman Index can be used to investigate gender differences in each partition. It should yield greater insight into the nature of between-gender differences, as its application to Feingold's 1992 data illustrates. (SLD)

A method is presented for estimating the accuracy and consistency of classifications based on test scores. The reliability of the score is used to estimate effective test length in terms of discrete items. The true-score distribution is estimated by fitting a four-parameter beta model. (SLD)

Data from national samples from the National Education Longitudinal Study of 1988 were used to study gender differences in mathematics achievement. Gender differences were not found when total group means were compared, but noteworthy differences favoring males were found at the high end of the score distributions. (SLD)

A person's obtained score on a test provides an estimate of the individual's "true" score on that test. The obtained score is considered to have two parts, the true component and the error component. Classical test theory assumes that obtained scores for an individual over multiple administrations of the same test will lie symmetrically…

To clarify the findings of R. Gillett (1991) about the inequality of the means of test scores of minority and majority examinees, the standard errors of the quota-selected sample means and the sampling distribution of these means were studied through Monte Carlo simulation. Results explain that the quota selection inequality results from…

An evolved form of the Edwards and Beckworth (1989) model for probability selection for Scholastic Achievement Test takers using truncated normal distributions is presented. It is shown that the arguments of Holland and Wainer are not sufficient to reject this model. (SLD)

Despite the increasing criticism of statistical significance testing by researchers, particularly in the publication of the 1994 American Psychological Association's style manual, statistical significance test results are still popular in journal articles. For this reason, it remains important to understand the logic of inferential statistics. A…

A trilinear chart for understanding the distribution of achievement levels of students' performance in the National Assessment of Educational Progress (NAEP) is described and its use illustrated with data from the 1992 state NAEP mathematics assessment. Trends for all 44 participating jurisdictions are simultaneously displayed. (SLD)

Intraclass correlation and Cronbach's alpha are widely used to describe reliability of tests and measurements. Even with Gaussian data, exact distributions are known only for compound symmetric covariance (equal variances and equal correlations). Recently, large sample Gaussian approximations were derived for the distribution functions. New exact…

The adequacy of linking statewide standardized test results to the National Assessment of Educational Progress by using equipercentile equating procedures was investigated using statewide mathematics data from four states. Results suggest that the linkings are not sufficiently trustworthy to make comparisons based on the tails of the distribution.…

Data from the College Board Validity Study Service show that the average multiple correlation of the Scholastic Aptitude Test (SAT) with college grades peaked in 1974 and then tended to decline. Data from other sources also estimate a small average decline from 1974 to 1985. This study documented changes in the SAT and related these changes to…

This document reports the provincial results of the June 1986 student achievement tests in Alberta in grade 3 mathematics, grade 6 science, and grade 9 English language arts. The achievement tests are specific to the program of studies prescribed by the Minister of Education. The document starts with general information about the testing program…

This collection presents evaluation reports on 52 Atlanta (Georgia) public schools. Critical questions and key findings are presented for each school in the areas of: (1) general descriptive characteristics, such as enrollment, student mobility, Chapter 1 services, and prior experiences of students; (2) performance-based achievement on Georgia…