Shows how a matrix, developed for identifying various strategies of curriculum development, can provide a basis for making a policy analysis of alternative strategies. (RM)

Describes a technique for obtaining item parameters of the Rasch model, a technique in which the item parameters are extracted from the eigenvectors of a matrix derived from comparisons between pairs of items. Describes advantages of this technique, which can be applied to both dichotomous and polytomous data. (SLD)

This seventh in a series of articles discussing expert system construction focuses on two ways to create a structure that determines a decision: (1) rule-based, or deductive, implementation; and (2) example-based, or inductive, implementation. Probability factors and confidence levels are discussed, and an example is given for selecting an…

Discusses the benefits of and strategies for integrating various disciplines within physical education, suggesting that by communicating with classroom teachers, planning for integration, and organizing using a matrix, the integration process can be easier, less time-consuming, and more consistent. The paper explains how to begin (start small,…

The way in which computer algebra systems, such as Maple, have made the study of complex problems accessible to undergraduate mathematicians with modest computational skills is illustrated by some large matrix calculations, which arise from representing the Earth's surface by digital elevation models. Such problems are often considered to lie in…

A multivariate reduced-rank growth curve model is proposed that extends the univariate reduced rank growth curve model to the multivariate case, in which several response variables are measured over multiple time points. The proposed model allows us to investigate the relationships among a number of response variables in a more parsimonious way…

In this note, we give a method for finding the inverse of a three by three magic square matrix without using the usual methods for finding the inverse of a matrix. Also we give a method for finding the inverse of a three by three magic square matrix whose entries are also matrices. By using these ideas, we can construct large matrices whose…

Characteristic polynomials are used to determine when magic squares have magic inverses. A resulting method constructs arbitrary examples of such squares.

This article examines the utility of multi-matrix sampling as a technique in health education research that permits collection of large quantities of data without lengthy questionnaires or excessive time demands on respondents. Advantages and limitations of multi-matrix sampling are delineated through a hypothetical example. (Authors/CJ)

Describes how Suffern (New York) High School creates its master class schedule using a computer-generated "conflict matrix" that shows the enrollment for each course and the number of students who would experience scheduling conflicts if any two courses were offered at the same time. (Author/RW)

In a September 1988 "NASSP Bulletin" article, the author challenged readers to construct a question analysis matrix for curriculum evaluation in relation to critical thinking and problem solving. The author's solution, featuring various "domains" or components categorized according to planning, implementation, and outcome stages, comprises this…

Discussion of models for information retrieval focuses on an application of linear algebra to text clustering, namely, a metric for measuring cluster quality based on the theory that cluster quality is proportional to the number of terms that are disjoint across the clusters. Explains term-document matrices and clustering algorithms. (Author/LRW)

Presents a LISREL model for the estimation of the repeated measures analysis of variance (ANOVA) with a patterned covariance matrix. The model is demonstrated for a 5 x 2 (Time x Group) ANOVA in which the data are assumed to be serially correlated. Similarities with the Statistical Analysis System PROC MIXED model are discussed. (SLD)

Discussion of citation analysis on the Web considers Web hyperlinks as a source to analyze citations. Topics include basic graph theory applied to Web pages, including matrices, linear algebra, and Web topology; and hubs and authorities, including a search technique called HITS (Hyperlink Induced Topic Search). (Author/LRW)

The matrix diagonalization method is used to solve a limit problem.