Learning hierarchies are networks of prerequisite relationships of instructional objectives. Seven measures of the validity of learning hierarchies were compared for their ability to identify correctly- and incorrectly-ordered hierarchies. A computer simulation model was used to generate stochastic data of known underlying structure. Analysis of…

Two basic issues are discussed that involve the Carver model of the relationship between test score and knowledge. The first of these concerns different types of tests which have different probabilities of obtaining the correct answer due to guessing. A derivation is shown which places different test types "on-a-par"--meaning that two tests are…

Since the primary purpose of classical testing is to rank order examinees consistently, the absolute value of the true score has been relatively unimportant. However, the major purpose of criterion referenced testing is to estimate the true capabilities of examinees to perform specific tasks. Hence, the problems of true score determination assume…

The paper presents an econometric analysis of the impact of the Work Incentive Program, as modified by the Talmadge Amendments of 1971 (WIN 2), on Aid to Families with Dependent Children (AFDC) program costs and recipient rates. (Author)

By considering colors as sets of wavelengths and using Boolean Algebra of sets, the effects of combining colors can be represented in a formal mathematical system. (SD)

Points out that man and his institutions must be far-sighted and make sacrifices now to benefit future species and to preserve the environment. (LS)

This is the second of several papers which attempts to introduce group representation theory to students of molecular or solid-state physics in as intuitive and simple a fashion as possible. (Author/BB)

A new method for separating affective and denotative meaning subsystems in semantic differential ratings of any homogeneous concept domain is developed and illustrated using personality ratings data. Possible applications of this method are discussed. (Author/JKS)

Two simple quantitative models were derived from a series of experiments which explored the role of information storage in working memory when performing mental arithmetic. The decay model is a tractable analysis of a complex task which assumes a decay process in working storage. Similar analyses are recommended for problem solving activities…

Tree searching was applied as a computer model of simple addition sentences. Results indicated that the number of problem reductions performed in tree searching accounted for most of the variance across problems in student error rate and solution time. The technique constitutes a computer test for the adequacy of a problem solving prescription.…

Examines some questions arising in connection with the application and usefulness of Bradford's Law, which describes the dispersion of articles on a particular subject among journal titles. (Author)

A situation in which shoppers are waiting in supermarket check-out lines is simulated to determine an optimum number of check-outs using data on the number of shoppers and the serving time. (MN)

An example of a mathematical modeling problem involving student enrollment and attrition is given along with a discussion of methods and conclusions. (MN)

An example is given of a mathematical modeling problem involving the number of people that get on and off an elevator and the expected number of stops it makes. (MN)

The author presents an approach to the teaching of undergraduate introductory probability and statistics. He also presents experimental evidence that suggests the approach helps students rely upon probability theory in making estimates for the likelihood of events rather than rely upon heuristic principles which may bias probability estimates. (MN)