A statistical analysis procedure is developed, based on the notion that many educational programs are dynamic interventions in natural growth processes, and is called value-added analysis. The theory of value-added analysis, and several applications are presented. (Author/JKS)

Data evolving from processes which are developmental or hierarchical in nature are often analyzed by using latent class or latent structure models. A procedure for estimating such models when the model is not "identifiable" is presented. (JKS)

Huynh (1976) suggested a method of approximating the reliability coefficient of a mastery test. The present study examines the accuracy of Huynh's approximation and also describes a computationally simpler approximation which appears to be generally more accurate than the former. (Author/RL)

When sample sizes and/or X intervals are unequal, the analysis of variance computations for trend analysis become quite complicated. This article shows how multiple regression/correlation analysis may be applied in order to accomplish with great simplicity trend analysis under "irregular" conditions. (Author/RL)

If heterogeneous regression slopes are present in analysis of covariance (ANCOVA), the likelihood of committing a Type I error is greater than what had been prespecified. The power of the ANCOVA test of hypothesis for all possible differences of treatment effects is not maximized. (Author/RL)

Empirically evaluates three measures of effectiveness of school district cash management: the rate of return method in common use and two new measures--efficiency rating and Net Present Value (NPV). The NPV approach allows examination of efficiency and provides a framework for evaluating other areas of educational policy. (Author/IRT)

Theoretical and research literature on learner, program, and adaptive control as forms of instructional management are critiqued in reference to the design of computer-based instruction. An adaptive control strategy using an online, iterative algorithmic model is proposed. (RAO)

The average citation per article in chemistry by age of citation is related to the Poisson frequency distribution. This provides a formula for calculation of a half-life for chemistry which depends on the structure of the research front exhibited in the literature. (Author/FM)

Fifteen examples using different formulas for calculating degrees of freedom for power analysis of multiple regression designs worked out by Cohen are presented, along with a more general formula for calculating such degrees of freedom. (Author/JKS)

Examines the main mathematical approaches to information retrieval, including both algebraic and probabilistic models, and describes difficulties which impede formalization of information retrieval processes. A number of developments are covered where new theoretical understandings have directly led to improved retrieval techniques and operations.…

A three-dimensional theory of frustration-aggression is presented. It is proposed that aggressiveness can be measured by computing the kinetic energy of a response. Aggressiveness is equated with energy state. Experimental and laboratory procedures are outlined. (Author/BEF)

This article deals with the problems of modeling the population densities of cities. Two types of models, the quadratic gamma and the equilibrium, are discussed and compared. (Author/MK)

The necessity of postulates of incidence and order is demonstrated by several examples of models for given axiomatic systems. Interdisciplinary interpretations are given. (MP)

Investigates two opposing views of creativity, that of the Freudian psychologists vs. the interpretation of humanistic psychologists, and offers a compromising, perhaps more gestalt solution, along with a new mathematical model and ideas for research in developing a more complete theory of creativity. (Author/RK)

A difference equation model of a university budget system is proposed and analyzed. The conditions for first-order and second-order dynamic equilibrium are determined, and it is shown that first-order equilibrium provides a useful criterion for financial health. (Author/JG)