The existing vector formalism method for thermodynamic relationship maintains tractability and uses accessible mathematics, which can be seen as a diverting and entertaining step into the mathematical formalism of thermodynamics and as an elementary application of matrix algebra. The method is based on ideas and operations apt to improve the…

The Curriculum Matrix developed by A. W. Foshay (1991) is a broad, comprehensive conception of curriculum, incorporating a range of perspectives and meanings often overlooked. This paper situates Foshay's matrix in the field of curriculum studies. By focusing on Foshay's interpretation of five curricular purposes (aesthetic, physical,…

Multiple-hypothesis testing in the context of a correlation matrix is used to compare the statistical power of the original Bonferroni with six modified Bonferroni procedures that control the overall Type I error rate. Three definitions of statistical power are considered: (1) the ability to detect at least one true relationship; (2) the ability…

Discusses the role of certain types of classifications in a modern automated environment. (Author/PF)

An investigation was undertaken into the possibility of automatically detecting how concepts exist in relation to each other in abstracts, a text-type commonly used in free-text retrieval. The end goal of this research is to capture these relationships in structured representations of abstracts' contents so that users can require not only that the…

The mathematical extension from scalars to matrices as a prerequisite for univariate to multivariate generalizations of statistical concepts and methods is discussed. One reason for several alternative techniques is the multitude of ways to generalize from univariate concepts to multivariate concepts. The additional complexity, and lack of…

A possible method is developed for computing the asymptotic sampling variance-covariance matrix of joint maximum likelihood estimates in item response theory when both item parameters and abilities are unknown. For a set of artificial data, results are compared with empirical values and with the variance-covariance matrices found by the usual…

The usefulness of path analysis as a means of better understanding various linear models is demonstrated. First, two linear models are presented in matrix form using linear structural relations (LISREL) notation. The two models, regression and factor analysis, are shown to be identical although the research question and data matrix to which these…

Connecticut established a program of field agents in 1976 to link information resource bases and educational practitioners. All school districts in the state were served. The linkage involved sorting, storing, analyzing, packaging, and delivering information. The field agents concentrated on clients' perceived needs. The program was evaluated…

Four prominent oblique transformation techniques--promax, the Harris-Kaiser procedure, biquartimin, and direct oblimin--are examined and compared. Additionally, two newly developed procedures are presented and included in the comparisons. (Author/RC)

Presents a new approach for estimating missing observations together with the results of a Monte Carlo study of the relative strengths and weaknesses of this technique and three other available methods. These techniques are then examined with respect to their ability to use incomplete data to estimate the correlation matrix obtained using a full…

Describes some of the situations in which a psychologist is likely to violate the assumption of independent errors. A Monte-Carlo study of the effects of this violation is then described. (Author/RC)