This article shows how the use of factorial moments provides a simple, consistent yet elegant approach to finding the mean and variance of standard discrete probability distributions.

This paper examines a real life question of gamble facing lottery players. Combinatorial dependence plays a central role in shaping the game probabilistic structure, but might not carry the merited weight in punters' considerations.

Several probabilistic models for subset choice have been proposed in the literature, for example, to explain approval voting data. We show that Marley et al.'s latent scale model is subsumed by Falmagne and Regenwetter's size-independent model, in the sense that every choice probability distribution generated by the former can also be explained by…

This study examined the substance use and delinquency outcomes for the nearest age siblings of substance abusing and delinquent adolescents that participated in a randomized clinical trial evaluating the effectiveness of integrating evidence-based practices into juvenile drug court. The sample of 70 siblings averaged 14.4 years of age, 50% were…

The chaos theory of careers emphasizes both stability and change in its account of career development. This article outlines counseling strategies derived from this emphasis in terms of convergent or probability thinking and emergent or possibility thinking. These 2 perspectives are characterized, and practical counseling strategy implications are…

Radical behaviorism considers private events to be a part of ongoing observable behavior and to share the properties of public events. Although private events cannot be measured directly, their roles in overt action can be inferred from mathematical models that relate private responses to external stimuli and reinforcers according to the same…

Recently, high-probability request sequences has shown promise as a method to enhance student compliance using positive methods without sacrificing the quality of the assignment. High-probability request sequences use a series of preferred behaviors to increase the likelihood that nonpreferred behaviors will occur. For this intervention, a series…

The overreliance on linear methods in students' reasoning and problem solving has been documented and discussed by several scholars in the field. So far, however, there have been no attempts to assemble the evidence and to analyze it is a systematic way. This article provides an overview and a conceptual analysis of students' tendency to use…

Integrity[TM], an online application for testing both the statistical integrity of the test and the academic integrity of the examinees, was evaluated for this review. Program features and the program output are described. An overview of the statistics in Integrity[TM] is provided, and the application is illustrated with a small simulation study.…

This study provides the first estimates of the causal impact of education on hospitalization. It improves upon existing studies on health and education by using a larger data set and more efficient estimation methods. Using a Danish school reform to identify a causal effect of education on hospitalization, we find that education has a substantial…

Measurement invariance in the partial credit model (PCM) can be conceptualized in several different but compatible ways. In this article the authors distinguish between three forms of measurement invariance in the PCM: step invariance, item invariance, and threshold invariance. Approaches for modeling these three forms of invariance are proposed,…

Research has demonstrated that interspersing mastered tasks with new tasks facilitates learning under certain conditions; however, little is known about factors that influence the effectiveness of this treatment strategy. The initial purpose of the current investigation was to evaluate the effects of similar versus dissimilar interspersed tasks…

Research with general knowledge items demonstrates extreme overconfidence when people estimate confidence intervals for unknown quantities, but close to zero overconfidence when the same intervals are assessed by probability judgment. In 3 experiments, the authors investigated if the overconfidence specific to confidence intervals derives from…

Purpose: The purpose of this paper is to evaluate the evidence on whether grade inflation has led to an increasing emphasis on standardized test scores as a criterion for law school admissions. Design/methodology/approach: Fit probabilistic models to admissions data for American law schools during the mid to late 1990s, a period during which…

The properties of the arrival time distribution of particles in a detector have been studied by the use of a small Geiger counter, with a GPS device to tag the event time. The experiment is intended to check the basic properties of the random arrival time distribution between successive events and to simulate the investigations carried out by…