A molecular approach for introducing entropy in undergraduate physical chemistry course and incorporating the features of Davies' treatment that meets the needs of the students but ignores the complexities of statistics and upgrades the qualitative, intuitive approach of Lambert for general chemistry to a semiquantitative treatment using Boltzmann…

A statistical test for the detection of answer copying on multiple-choice tests is presented. The test is based on the idea that the answers of examinees to test items may be the result of three possible processes: (1) knowing, (2) guessing, and (3) copying, but that examinees who do not have access to the answers of other examinees can arrive at…

While Americans obsess over childhood concerns about obesity and the Internet, vastly greater numbers of children around the world are dealing with more basic survival issues. To put the world of childhood in some perspective, the author reviews a bevy of demographic statistics about young children. In this article, the author has noted…

In a more consistent and viable manner than ever before, education in Alabama is moving toward its ultimate goal of providing every student with a quality education, thereby preparing them for work, college, and life after high school. Alabama's graduation rates from 2002 to 2008 increased significantly, tripling the national average increase and…

The European Credit Transfer and Accumulation System (ECTS) has been developed and instituted to facilitate student mobility and academic recognition. This paper presents, discusses, and illustrates the pertinence and the limitation of the current statistical distribution of the ECTS grades, and we propose an alternative way to calculate the ECTS…

Relationships between Bayesian ability estimates and the parameters of a normal population distribution are derived in the context of classical test theory. Analogies are provided for use as approximations in work with item response theory (IRT). The following issues are addressed: (1) the relationship between the distribution of the latent…

A Monte Carlo study was used to examine the Type I error rates of five multivariate tests for the single-factor repeated measures model. The performance of Hotelling's T-squared and four nonparametric tests, including a chi-square and an "F" test version of a rank-transform procedure, was investigated for different distributions, sample…

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…

This teaching supplement from the U.S. Census Bureau is designed for educators in grades 5 through 12. The Bureau offers it as a way of addressing the needs and concerns of teachers as they attempt to include statistical information about the everyday world in an effort to meet new educational standards. The supplement is presented in order to…

The normal curve has long been important in statistics. Most interval variables yield normal or quasi-normal distributions when data are collected from large samples, and the normal "Z" distribution is also used as a test statistic (e.g., to test differences between two means when sample size is large, since "t" approaches…

This research attempted to replicate and extend results from a previous study examining the effects on achievement of generating summaries or analogies while reading a lengthy text. Before the study, 111 undergraduate students from a large midwestern university were classified as high or low ability and randomly assigned to paired or individual…

New multivariate permutation tests are proposed that may be effectively substituted for Hotelling's T-Square test in situations commonly arising in educational research. The new tests: (1) are distribution-free; (2) provide tests of directional as well as non-directional hypotheses; (3) may be tailored for sensitivity to specific treatment…

Few methods have been tried and used to graphically represent more than two variables. This poster session showed a new method for representing three continuous variables on a single scatterplot using the THREEDE computer program. Two variables are represented as a normal bivariate distribution. The third variable is represented by a symbol, e.g.…

Statistical methods are presented for studying "correlates of diversity," defined as characteristics of educational organizations that predict dispersion on the dependent variable. Strategies based on exact distribution theory and asymptotic normal approximation are considered. (TJH)

Current practice in structural modeling of variables is limited to means and covariances based on multivariate normality assumptions. This article extends structural equation models to higher order product moments and to non-normal distributions. Areas of possible research are described. (Author/JKS)