Describes two types of computer-based experiments: simulation (which assumes no student knowledge of the workings of the computer program) is recommended for experiments aimed at inductive reasoning; and modeling (which assumes student understanding of the computer program) is recommended for deductive processes. (MLH)

Presents a derivation of the centripetal acceleration formula which does not involve calculus or vectors but uses only simple geometry. (MLH)

The authors recommend introducing complex numbers by first studying the integers modulo seven. (SD)

This article extends number bases to negative integers, then to positive rationals and finally to negative rationals. Methods and rules for operations in positive and negative rational bases greater than one or less than negative one are summarized in tables. Sample problems are explained and illustrated. (KM)

The problem of how much of a branch library's budget should be spent on acquisition of new material as opposed to holding capital in reserve to photoduplicate material at the main library upon demand is presented. (Author)

Observing the relationship of general relativity and the geometry of space-time, the author questions whether the rest of physics has geometrical explanations. As a partial answer he discusses current research on subatomic particles employing geometric transformations, and cites the existence of geometrical definitions of physical quantities such…

In administrative inquiry, the scientific tradition is utilized less frequently than the humanistic tradition. Such imbalance in perspectives may be a cause of the acknowledged poverty of the knowledge base. Departments of educational administration should encourage the existence of proponents of both perspectives within their ranks. (Author/WM)

A number of recent studies in the United Kingdom have developed academic staffing formulas on the basis of the institution's teaching commitment rather than on its recruitment of students. It is concluded that these formulas are useful more as situation analysis tools than as resource allocation devices. (Author/WM)

Commonality analysis may be used as an adjunct to general linear methods as a means of determining the degree of predictive ability shared by two or more independent variables. For each independent variable, commonality analysis indicates how much of the variance of the dependent variable is unique to the predictor and how much of the predictor's…

Methods of probability modeling to analyze rater agreement are described, emphasizing their basic similarities and viewing them as variants of a common methodology. Statistical techniques for analyzing agreement data are described to address questions such as how many opinions are required to make a medical diagnosis with necessary accuracy. Kappa…

This supplementary report identifies and provides individual descriptions and reviews of 71 retirement forecasting models. Composed of appendices, it is intended as a source of more detailed information than that included in the main volume of the report. Appendix I is an introduction. Appendix II contains individual descriptions of 32 models of…

The aim of this paper is to explore the Rasch model as a criterion of test homogeneity. Two empirical studies are presented to demonstrate this usage. From these studies it is argued that statistical tests of item characteristic curve (ICC) slopes are not sufficient in testing for heterogeneity. Tests of equality of ICC's over groups of subject…

Two of the most popular methods for obtaining equal-interval scales for educational measurement are discussed: Thurstone's method and Item Response Theory (IRT). Between-grade growth on these scales is compared; while unstandardized differences show different trends for the two scales, standardized differences that take standard deviations into…

Parametric measures to estimate J. Cohen's effect size (1966) from a single experiment or for a single study in meta-analysis are investigated. The main objective was to examine the principal statistical properties of this effect size--delta--under variance homogeneity, variance heterogeneity with known variance ratios, and for the Behrens-Fisher…

The estimation of mean and standard errors of the eigenvalues and category quantifications in generalized non-linear canonical correlation analysis (OVERALS) is discussed. Starting points are the delta method equations. The jackknife and bootstrap methods are compared for providing finite difference approximations to the derivatives. Examining the…