The validity of various reliability-corrected procedures for adjusting for initial differences between groups in uncontrolled studies is established for subjects exhibiting linear fan-spread growth. The results are then extended to a nonlinear model of growth. (Author)

One application of modeling is studying the ways in which molecules fit together to form chemical compounds. Describes the forces acting between molecules and how three-dimensional graphical modeling is employed in developing rational principles for drug design. (JN)

The validity of the equipercentile hypothesis of the Title I Evaluation and Reporting System norm-referenced evaluation model was examined using 3,224 seventh- and ninth-grade students. Findings from confidence interval procedures contradicted the equipercentile hypothesis. There was a pattern of large gains for students not receiving any special…

Investigated application of binomial statistics to equilibrium distribution of ester systems by employing gas chromatography to verify the mathematical model used. Discusses model development and experimental techniques, indicating the model enables a straightforward extension to symmetrical polyfunctional esters and presents a mathematical basis…

Convergent and discriminant validity of the Iowa Social Competency Scale-Preschool form was investigated using the Campbell and Fiske validity model. The methods involved were observer, mother, father and teacher ratings whereas the traits were three test factors of social activator, reassurance, and hypersensitivity. Subjects were 92 pre-school…

In mastery testing a linear relationship between an optimal passing score and test length is presented with a new optimization criterion. The usual indifference zone approach, a binomial error model, decision errors, and corrections for guessing are discussed. Related results in sequential testing and the latent class approach are included. (CM)

The adequacy of equipercentile, linear, one-parameter (Rasch), and three-parameter logistic item-response theory procedures for equating 12 forms of five tests of general educational development were compared. Results indicated the equating method adequacy depends on a variety of factors such as test characteristics, equating design, and sample…

Regarding shortcomings in guaranteed tax base (GTB) school aid formulas, especially difficulties in measuring district fiscal capacity, the authors cite Michigan data to argue that inequities resulting from measurements using property wealth can be mitigated by property tax relief, intrastate cost differentials, and a unique aspect of Michigan's…

The development of a mathematical model for estimating faculty time involved in teaching a course is outlined. Over six years, systematic time analysis has helped determine principal components and empirical coefficients of the model. Data are reported showing reasonable agreement between model estimates and time analyses for the courses…

Using data from 881 higher education institutions and a mathematical model, researchers related the estimated compensation rates of part-time faculty members to their institutional types and sexes. Results indicate a growing compensation gap between part- and full-time faculty and increasing substitutability of part- for full-time teachers. (RW)

A study designed to provide a rational basis for establishing student teacher ratios for certain fields of study in Australian colleges is described. It analyzed student and faculty contact hours, student load, full-time-equivalent staff, class size, and academic workload and integrated them into mathematical models for the fields. (MSE)

This article discusses the need for more accurate and complete input data and field verification of the various models of air pollutant dispension. Consideration should be given to changing the form of air quality standards based on enhanced dispersion modeling techniques. (Author/RE)

Presents a dynamic model of user behavior when scanning an information storage and retrieval system output list, compares rules for determining the user's optimum stopping point, presents an algorithm for implementing the Bayesian model, and discusses implications for retrieval system design. Provided are 13 figures and 15 references. (Author/RBF)

Presented is a description of the evolution and curriculum of the masters program in aeronautical systems at the University of West Florida between 1969 and 1976. An explanation is given of the purpose and outcome of the group theses and research project in which the students taught themselves the systems approach. (SMB)

Procedures for simultaneous confirmatory factor analysis in several populations are useful in a variety of problems. This is demonstrated with examples involving missing data, comparison of part correlations between groups, testing the equality of regression weights between groups with multiple indicators of each variable, and the formulation of…