Models proposed by Cleary, Thorndike, Cole, Einhorn and Bass, and Darlington for analyzing bias in the use of tests in a selection strategy are surveyed. Six additional models for test bias are also introduced. The purpose is to describe, compare, contrast, and evaluate these models while, at the same time, extracting such useful ideas as may be…

Approaches the representation of quantum mechanics through Hilbert space postulates. Demonstrates that if the representation is to be accurate, an evolution operator of the form of a Hamiltonian must be used. (CP)

Kaminsky and Nelson's method for estimating the times of future "success" from the times of earlier "successes" in the same sample is discussed in terms of its potential applications to long term psychological treatment, research, or training programs. (Author/JKS)

Describes a statistical model that can predict, throughout the fiscal year, the amount of money that will be spent on firm orders against a given fund, thereby predicting the number of orders that must still be placed to totally spend but not overspend that fund. Data tables are included. (Author/JD)

Looks at opportunities and needs within the teaching of physics at the secondary level to develop ideas of chance, and to set these within a discussion of some of the problems of what the subject should be like at this level. (Author/GA)

A magazine article is shown to contain material that could lead to discussions of several topics in mathematics. The article and the related mathematics are discussed in detail. (MP)

Several Bayesian approaches to the simultaneous estimation of the means of k binomial populations are discussed. This has particular applicability to criterion-referenced or mastery testing. (Author/JKS)

The author presents three methods for dealing with the problem of the number of tosses of a fair coin needed to obtain two consecutive heads. (MN)

Previous knowledge of the difficulty index and the intercorrelations of the items will allow group results to be predicted and manipulated. A compound bionomial probability function of a testscore is established for which a computer program has been written. Three item selections and the appropriate probability distributions are given which give…

A problem illustrating how physics and mathematics complement one another when analyzing problems of the physical world is described. (JT)

Presents adaptation of a probabilistic theoretical model previously used in relevance feedback for use in automatic indexing of documents (in the sense of imitating) human indexers. Methods for model application are proposed, independence assumptions used in the model are interpreted, and the probability of a dependence model is discussed.…

Two stage multiple-comparison procedures give an exact solution to problems of power and Type I errors, but require equal sample sizes in the first stage. This paper suggests a method of evaluating the experimentwise Type I error probability when the first stage has unequal sample sizes. (Author/BW)

Instructional alignment is the extent to which stimulus conditions match three instructional components. This paper demonstrates a new perspective in which instructional alignment generates larger effects in research and practice for less "cost" than other instructional constructs. (VM)

Presented are ideas for teaching mathematics with a microcomputer. Ideas include using Apple II Logo to help select students for activities (Wheel of Fortune) and activities to explore how the programming operates. (RH)

Modeling the process by which participants are selected into groups, rather than adjusting for preexisting group differences, provides the basis for several new approaches to the analysis of data from nonrandomized studies. Econometric approaches, the propensity scores approach, and the relative assignment variable approach to the modeling of…