A pivotal theorem which is of critical importance to statistical inference in probability and statistics is the Central Limit Theorem (CLT). The theorem concerns the sampling distribution of random samples taken from a population, including population distributions that do not have to be normal distributions. This paper contains a brief history of…

This Monte Carlo study examines whether, given various numbers of variables, treatments, and sample sizes, in a one-way multivariate analysis of variance, Type I error rates of the test approximations provided by the BMDP program, the Statistical Analysis System (SAS), and the Statistical Package for the Social Sciences (SPSS) for Roy's largest…

This study examined the development of children's decisionmaking abilities and the effects of age and gender differences on their use of probability, gain, and loss information about risky alternatives. Subjects were 158 children of 7-13 years of age who were observed during a task in which they chose among alternative gambles in a computer game.…

This is a teacher's guide to secondary school mathematics. Developed for use in the Duval County Public Schools, Jacksonville, Florida. Areas of mathematics covered are algebra, analysis, calculus, computer literacy, computer science, geometry, analytic geometry, general mathematics, consumer mathematics, pre-algebra, probability and statistics,…

Students were given the problem: Given a deck of cards in a certain order, after how many shuffles will it return to its original order? They worked with small decks of cards to develop a general formula, but were unhappy with the results. (SD)

Four problems in which elementary mathematics can be used in constructing models are described. (SD)

The similarity between two apparently dissimilar problems is explored. Pascal's triangle is involved. (SD)

This paper identifies typical sampling problems, including improper application of the Central Limit Theorem, that are associated with the probability-based sampling procedures currently used in clinical psychology research. It then presents two alternative research designs, the theory validation model and the extended case study model, which…

The second volume of these conference proceedings includes 35 papers presented under seven topic headings. The topic headings are: (1) education and training in statistics in developing countries; (2) co-operation between academic and practicing statisticians; (3) teaching survey sampling; (4) teaching design and analysis of experiments; (5)…

This book is designed to introduce the reader to some fundamental ideas about probability. The mathematical theory of probability plays an increasingly important role in science, government, industry, business, and economics. An understanding of the basic concepts of probability is essential for the study of statistical methods that are widely…

This book is designed to introduce the reader to some fundamental ideas about probability. It is assumed that the reader has completed chapters 1 to 7 of SMSG Introduction to Probability, Part 1. While the book is designed for junior high school students, some elementary algebra is required for a number of the exercises. The difficult exercises…

The effectiveness of the learning cell, or student dyad, for the acquisition of principles of probability was explored in Grades 5, 9, and college age. Analysis indicates that student's evaluations of the learning cell was unrelated to achievement. (Author/DEP)

Examines the propensity of teachers to strike and, using a logit model, how this propensity can be affected by certain decision variables, notably a teacher's political leaning, sex, cynicism, moonlighting, colleague orientation, orientation to the public, age, teaching load, total family income, morale, and attitude toward peer evaluation.…

The effect of certain methodological changes on the fit of the Wyer subjective probability model and the effect of belief change on cognitive structure were investigated. Using syllogistically-related proposition sets of the form "A,""If A then B,""If not A then B,""B," it was found that certain…

Basic issues in criterion-referenced measurement are addressed. In section II, issues involved in determining what a person does and can do are considered. A preliminary analysis of "can" is given which shows that there are several important senses of "can". In section III, results of an analysis of "ability" are…