Too few researchers understand what statistical significance testing does and does not do, and consequently their results are misinterpreted. This Digest explains the concept of statistical significance testing and discusses the meaning of probabilities, the concept of statistical significance, arguments against significance testing,…

A procedure for developing a nomogram that depicts expectancy of success on a criterion from performance on two predictors is presented. Data from 574 medical students attending Michigan State University College of Human Medicine's classes of 1979 through 1984 were used to develop a model for predicting the expectancy of success on Part I of the…

The Mastery-Learning test model is extended. Methods for estimating prior probabilities are described. The use of an adjustment matrix to transform a probability of mastery measure and empirical methods for estimating adjustment matrix parameters are derived. Adjustment matrices are interpreted as indicators of instructional effectiveness and as…

The Rasch item analysis model is supposed to yield norm-free estimates of ability and easiness values, but there are several possible interpretations of the nature and extent of such norm-freeness. One such interpretation was that to involve the scores of one single experimental group of testees which were embedded in four differently skewed…

This project is concerned with the development and implementation of some new statistical techniques that will facilitate a continuing input of information about the student to the instructional manager so that individualization of instruction can be managed effectively. The source of this informational input is typically a short…

The use of computers in areas of testing, selection, and placement processes for those in military services' training programs are viewed in this paper. Also discussed is a review of the motivational and theoretical foundation of admissible probability testing, the role of the computer in admissible probability testing, and the authors' experience…

Provides a short BASIC program, RANVAR, which generates random variates for various theoretical probability distributions. The seven variates include: uniform, exponential, normal, binomial, Poisson, Pascal, and triangular. (MVL)

This paper describes a classroom teaching experiment, concerning the concept of probability, with children aged 5 in a kindergarten school. The teaching experiment was based on constructivist and interactionist theories about the learning of school mathematics and lasted one month. The collection of the information was based on the tape-recorded…

The Maui Hawaii Educational consortium (the Maui School District and Maui Community College) sought scientifically based evidence for the effectiveness of the "Cognitive Tutor (CT) Algebra I Curriculum" to inform adoption decisions. Decision makers were particularly interested in whether the use of the "CT" program affects…

This report analyzes the relationship of Advanced Placement Program® (AP®) teacher practices and student performance on AP Biology and AP U.S. History Exams. Using a national survey of AP teachers, the study developed four models for each subject with public school teachers only and both public and nonpublic school teachers, using two standards of…

Traditional elementary statistics instruction for non-majors has focused on computation. Rarely have students had an opportunity to interact with real data sets or to use questioning to drive data analysis, common activities among professional statisticians. Inclusion of data gathering and analysis into whole class and small group activities…

A study was conducted at Scottsdale and Paradise Valley community colleges to assess the importance of math for the study of economic principles and the extent to which a student's math background determines performance in micro- and macro-economic courses. Students (N=156) from six economic principles classes were surveyed regarding their high…

This study compared essay scores from paper-based and computer-based versions of a writing test for prospective teachers. Scores for essays in the paper-based version averaged nearly half a standard deviation higher than those in the computer-based version, after applying a statistical control for demographic differences between the groups of…

In evaluation research studies, it often occurs that several program participants (experimentals) drop out of the program prior to completion. Since noncompleters generally differ substantially from completers in many respects, a control group which originally was representative of the participant group will most likely not be representative of…

This is a tongue-in-cheek rendering of an imaginary linguist's attempt to prove that a grammatical rule is not in fact optional, but conditioned. Through manipulation of the data, use of computers, etc., he succeeds in "proving" this. He also "proves" that this conditioning is contextual; that the rule which exhibits it is…