A statistical test is described which determines homogeneity of effect size of an experiment series. An overall fit statistic is partitioned into between-class fit statistic and within-class fit statistic. These statistics permit assessment of differences between effect sizes for different classes and homogeneity of effect size within classes.…

Mathematical modelling and an example used with undergraduates were presented in part 1 (v17, n5, p212-18, 1982). A second example, Power from Windmills, is provided which has considerable potential for development both as a model and as a series of modelling experiences of increasing difficulty for students with different backgrounds. (Author/JN)

A time-saving and space-saving algorithm is presented for computing the sums of squares and estimated cell means under the additive model in a two-way analysis of variance or covariance with unequal numbers of observations in the cells. The procedure is illustrated. (Author/JKS)

Two models are presented. The first assumes that air resistance is proportional to the velocity of the falling body. The second assumes that air resistance is proportional to the square of the velocity. A program written in BASIC that simulates the second model is presented. (MP)

Describes the heating of a baby's milk bottle (an exercise in modelling) and the interaction between lecturer and students as they formulate the problem, produce a tentative solution and interpret the solution. (Author/JN)

Errors students typically generate while trying to translate problems into and out of algebraic notation are reviewed. Translation skills and pupil difficulties with them are seen as areas deserving further research. (MP)

Three Florida high schools used the computer-based PLATO Basic Skills Mathematics program for remedial mathematics lessons. Students showed a median gain of 1.5 grade equivalents and improved attitudes toward mathematics and school. A model of the project's cost effectiveness indicates the need to manage the program carefully. (Author/RW)

The problems involved in making reservations for airline flights is discussed in creating a mathematical model designed to maximize an airline's income. One issue not considered in the model is any public relations problem the airline may have. The model does take into account the issue of denied boarding compensation. (MP)

A simple teaching model, designed to show rapidly which are the principal factors in population growth and how they are related, is presented. The apparatus described allows students to play several different active roles. (MP)

A general discussion of prediction and the use of models as a means of understanding reality is provided, focusing on the application of mathematical models to various scientific disciplines and its role in experimentation. (DC)

Describes the basic philosophy, nomenclature, and techniques used in mathematical modelling to enable biologists, engineers, land managers, and others to understand the concepts and usefulness of models. Contrasts conceptual and empirical approaches, using ecosystem models as an example of the former. (DC)

The restrictions on item difficulties that must be met when binomial models are applied to domain-referenced testing are examined. Both a deterministic and a stochastic conception of item responses are discussed with respect to difficulty and Guttman-type items. (Author/BH)

A multitrait-multimethod (MTMM) analysis of alienation employed two personality constructs conceptually relevant to alienation: hostility and locus of control. MTMM analysis indicated that eight of 15 convergent validity coefficients were statistically significant; however, magnitude was small and Campbell-Fiske criteria were not satisfied…

Two methods of analyzing nonorthogonal (uneven cell sizes) cross-classified data sets are compared. The methods are direct standardization and the general linear model. The authors illustrate when direct standardization may be a desirable method of analysis. (JKS)

Mathematical modeling is defined. Examples are used to show that there are models available which illustrate both the traditional use of mathematics in the physical science and its newer use in nonphysical disciplines, and which are at a suitable level for teaching in schools. (Author/MK)