Probabilistic thinking is a structure of thinking characterized by scenarios that allow one to explore reality. Therefore, the characteristic of probabilistic thinking is problem-oriented that will occur in a future full of uncertainty. Nevertheless, few studies examine the students' probabilistic thinking level based on the Stress Tolerance…

This article investigates the racial and gender dynamics of educational inequality in suburban public schools in the United States during an era of rapid demographic change. As suburban schools transition from predominantly White enclaves to more diverse settings, it is unclear to what extent the popular narrative of "suburban advantage"…

Stochastic independence is not an easy notion. Because it is part of the probability structure, it can have some surprising non-properties, which is beneficial for teachers and students to see illustrated. Neither is the relationship to causal independence an easy one.

In Norway 5.8% of students report being bullied as much as three or more times a month [UDIR. 2021a. Student Survey 2020 [Elevundersøkelsen 2020]. https://www.udir.no/tall-og-forskning/finn-forskning/rapporter/elevundersokelsen-2020-nasjonale-tall-formobbing-og-arbeidsro/]. The present study investigates the likelihood of students being bullied…

Teacher turnover is especially pronounced among teachers of color who play critically important roles in the success of students of color. A growing literature points to racial isolation as one factor that is associated with Black teacher job satisfaction in particular, which in turn could play a role in a teacher's decision to remain in a school.…

This study highlights the relationship between high school grade point average (GPA), ACT Composite score, and the likelihood of developmental course placement in college. Higher high school grade point averages (HSGPA) and ACT Composite scores were associated with lower probabilities of developmental course placement. This study also highlights…

Merit aid is an increasingly important component of college scholarships, but policymakers are concerned that merit aid is often given to students who would enroll anyway. As a baseline we use a regression discontinuity (RD) framework to test an institution-level merit aid program at a public research university and find that the merit aid program…

The transition from the probability mass function for discrete random variables to the probability density function for continuous random variables is not straightforward, especially to students from the health and social sciences. An R Shiny application was created to assist the learning process of probability density function.

Two approaches for the statistical analysis of social network generation are widely used; the tie-oriented exponential random graph model (ERGM) and the stochastic actor-oriented model (SAOM) or Siena model. While the choice for either model by empirical researchers often seems arbitrary, there are important differences between these models that…

Purpose: Children who are hard of hearing (CHH) have restricted access to acoustic and linguistic information. Increased audibility provided by hearing aids influences language outcomes, but the benefits of hearing aids are often limited by acoustic factors and distance. Remote microphone (RM) systems further increase auditory access by reducing…

A large-scale simulation study of the assessment effectiveness of a particular instantiation of knowledge space theory is described. In this study, data from more than 700,000 actual assessments in mathematics using the ALEKS (Assessment and LEarning in Knowledge Spaces) software were used to determine response probabilities for the same number of…

The purpose of this study was to write programs to define sampling sizes and observation units by probability sampling methods and to provide an idea for software developers. The algorithms of the programs were written in Python 3. The programs may be run by double-clicking on the Windows operating system or by the command prompt of the DOS…

Employing a statistical modeling inspired pedagogy is becoming a widespread practice in the statistics education community. Many have incorporated the practice of formulating conjectures in their modeling-enhanced educational designs and have reported on its benefits. We further elucidate the mechanism through which students' conjecturing may be…

Educators who teach programming subjects are often wondering "which programming language should I teach first?" The debate behind this question has a long history and coming up with a definite answer to this question would be farfetched. Nonetheless, several efforts can be identified in the literature wherein pros and cons of mainstream…

We consider two-level models where a continuous response R and continuous covariates C are assumed missing at random. Inferences based on maximum likelihood or Bayes are routinely made by estimating their joint normal distribution from observed data R[subscript obs] and C[subscript obs]. However, if the model for R given C includes random…