Described is a laboratory program at Hope College, Holland, Michigan. Examples of laboratory exercises are provided. (RH)

Presents a method of solving decision problems in conditions of incomplete knowledge of the probabilities of the states of nature. It uses all available information in order to delimit the region of ignorance as closely as possible. (Author)

A probabilistic approach is introduced to classify and diagnose erroneous rules of operation resulting from a variety of misconceptions ("bugs") in a procedural domain of arithmetic. The model is contrasted with the deterministic approach which has commonly been used in the field of artificial intelligence, and the advantage of treating the…

The Pearson and likelihood ratio statistics are frequently used for assessing the absolute fit of probability models. Researchers are often interested in comparing fits provided by different models which may have a subsuming or non-subsuming relation. A subsuming relation exists when the parameters of the reduced model form a subset of those…

A mathematical setting based on a statistical sampling probability mechanism is described. In this setting, a mathematical meaning is given for the information function; and it becomes possible to study the relative merits of various ability-estimating procedures. The maximum likelihood estimation procedure under the one-, two-, three-parameter…

In the educational research literature alpha, the a priori level of significance, and p, the a posteriori probability of obtaining a test statistic of at least a certain value when the null hypothesis is true, are often confused. Explanations for this confusion are offered. Paradoxically, alpha retains a prominent place in textbook discussions of…

It is easy to observe that meta-analysis is quickly establishing itself as useful tool of the social sciences. Perusal of representative journals confirms that meta-analysis has been applied in various ways to diverse literatures. It is imperative, therefore, that reviewers, publishers, consumers, and critics of these reviews be best informed…

Investigated were cognitive processes involved in probability guessing in terms of autonomic changes with 48 educable mentally retarded adolescents. (Author/DB)

Seventy-one college students were taught probability and statistics for one month by one of three methods: MP, manipulative-pictorial; P, pictorial; and S, symbolic. Analysis of variance yielded significant differences (p.05) between treatment groups for selected subtests of an achievement test and generally favored MP and P over S.

Nine problem situations involving the use of random numbers are given. Topics include cooking, hunting, bacteria contamination, waiting lines, ransom walks, and branching. In addition to the problem situation, questions are suggested which can be used to extend the investigations. (LS)

This unit is designed for elementary school students in intermediate grades. It is designed to make mathematics enjoyable, promote systematic thinking, practice and reinforce arithmetic skills, and provide opportunity for independent research. The student manual contains twelve lessons with background information and activities. In addition, the…

Decision analysis is a quantitative method that permits the systematic evaluation of the costs or benefits accruing to courses of action that might be taken in a decision problem. It entails identification of the alternative choices involved, the assignment of values (costs/benefits) for possible outcomes, and the expression of the probability of…

A Bayesian statistical procedure separating storage from retrieval was used to study development and release of proactive interference in the Brown-Peterson paradigm. A theory of PI is developed stressing response competition at test time and interference in transfer between short- and long-term memory. (CHK)

Several ideas for activities related to statistical concepts and the methods of using probability to analyze situations are presented. (SD)