Some probabilistic illustrations of the reliability coefficient are provided to assist in interpretation of this measure. All explanations are derived under the assumption that the joint distribution of examinee scores from two parallel tests is well approximated by a bivariate normal distribution.

There are test-equating situations in which it may be appropriate to fit a loglinear or other type of probability model to the joint distribution of a total score on a test and a score on part of that test. For anchor test designs, this situation arises for internal anchor tests, which are embedded within the total test. Similarly, a part-whole…

Examples are given which show how Karnaugh maps can be used in questions involving probability. (DT)

The principal objects of the investigation reported were, first, to study qualitative probability relations on Boolean algebras, and secondly, to describe applications in the theories of probability logic, information, automata, and probabilistic measurement. The main contribution of this work is stated in 10 definitions and 20 theorems. The basic…

Two designs for comparing a judge's ratings with a known standard are compared: (1) Subjects are categorized into classes, with no knowledge of the size of either group; and (2) the judge is told the actual number allowed in each class. The probability distribution of the total number of correct choices is developed for each case, and their power…

A computer program for testing the association of two nominal variables using Fisher's exact probability test is described. Theoretical corrections according to recent literature are made. Various methods of discovering the source of association at the cellwise level are given. (Author/JKS)

A class of estimators which are asymptotically unbiased and mean square consistent are exhibited. Theorems giving necessary and sufficient conditions for uniform asymptotic unbiasedness and for mean square consistency are presented along with applications of the estimator to certain statistical problems. (Author/RC)

Analyzes the Gambler's Fallacy, the perception of interdependence among events which are in fact unrelated. Describes how reasoning errors occur when the perceived interdependence influences predictions about subsequent events. Elaborates the distinction between Gambler's Fallacy and similar but sound reasoning strategies. (BH)

It is suggested that theorists may develop both independence and exclusivity forms of multiple-process models, allowing choice between them to be made on empirical rather than a priori grounds. This theoretical approach is adopted in the specific case of memory retrival (Author/LMO)

Examined individuals differing in sex, age, profession, eminence and fame, and historical period for presence of the birthday-deathday phenomenon. Found a decrease in probability of death with approaching birthday followed by an increase in most males. Females showed an initial rise in probability of death with approaching birthday, followed by a…

Topics from statistics and probability are presented as appropriate for gifted middle school students. Topics stress simple ways to display, compare, and interpret data. Probability methods included examining a game for fairness. (Author/CL)

Instruction in mathematical probability to enhance higher levels of critical and creative thinking with gifted students is described. Among thinking skills developed by such an approach are analysis, synthesis, evaluation, fluency, and complexity. (CL)

This paper presents a method designed to assist practitioners in the interpretation of the practical significance of a statistically significant logistic regression coefficient is presented. To avoid the interpretation problems encountered when using the traditionally reported change in either the log odds or odds values, this method centers the…