Unlike previous studies on fixed logistics nodes, this research explored how consumer distribution impacts store selection and inventory balance, integrating the "ship-from-store" strategy to increase fulfillment within multiperiod sales plans. Specifically, omnichannel retailers (O-tailer) must sequentially decide on inventory…

Controlling Type 1 error and encouraging reproducible research are important in clinical and translational research. These concepts are frequently discussed in lectures with mathematical language, analytic examples, and probability distributions that demonstrate the issues. However, first-time learners in biostatistics courses focusing on…

Natural language contains a variety of means for expressing possibilities consistent with what is known. Particularly well-studied among them are the epistemic modal auxiliaries "might" and "must": (1) a. Ann: "Where is Peter?" b. Mary: "He {might/must} be in his office." There is broad agreement that…

Inflammatory bowel disease (IBD) has been shown to be connected to a greater possibility of neurologically developed problems, such as autism spectrum disorders (ASDs). However, the proof linking parental IBD with ASD in offspring is inconclusive. Thus, we carried out a meta-analysis and comprehensive review to elucidate such linking. Prior…

Two novel proofs show that the sum of a specific pair of normal random variables is not normal are established in this note. This is one of the most often misunderstood facts by first-year students in probability theory and statistics. The first proof is concise using the moment generating function. The second proof checks whether the moments of…

Do children think of genetic inheritance as deterministic or probabilistic? In two novel tasks, children viewed the eye colors of animal parents and judged and selected possible phenotypes of offspring. Across three studies (N = 353, 162 girls, 172 boys, 2 non-binary; 17 did not report gender) with predominantly White U.S. participants collected…

Navigating the transition to university is a challenge for many students with numerous negative consequences if not successful. The current literature body is disparate and contains numerous methodological and analytical inconsistencies that make it difficult to identify the most salient and effective factors that help predict transition success…

Suppose "X" and "Y" are binary exposure and outcome variables, and we have full knowledge of the distribution of "Y," given application of "X." We are interested in assessing whether an outcome in some case is due to the exposure. This "probability of causation" is of interest in comparative…

Binary logistic regression is one of the most widely used statistical tools. The method uses odds, log odds, and odds ratios, which are difficult to understand and interpret. Understanding of logistic regression tends to fall down in one of three ways: (1) Many students and researchers come to believe that an odds ratio translates directly into…

This study aims to investigate the influence of an undergraduate course on teaching statistics and probability on the statistical knowledge of preservice mathematics teachers. Statistics Concept Inventory (SCI) was used to measure the statistical understanding of the participants. It was implemented at both the beginning and the end of the course.…

Recruiting and retaining a high-quality teacher workforce is a challenge for many of today's school leaders. One way to address this challenge is to understand the role of teachers' psychological experiences at work in their career decisions. Although substantial research has explored the role of negative psychological experiences (such as…

Background: Though approximately 80% of teachers are women, they hold only about 50% of all principalships, and just a quarter of superintendent positions (Finnan and McCord, 2017; Robinson et al., 2017; Tienken, 2021; White, 2023). When women do take on leadership positions, evidence suggests they tend to work in districts serving students with…

Humans implicitly pick up on probabilities of stimuli and events, yet it remains unclear how statistical learning builds expectations that affect perception. Across 29 experiments, we examine the influence of task-irrelevant distributions--defined across acoustic frequency--on both tone detection in noise and tone duration judgments. The shape and…

This study investigated 3- to 5-year-olds' (N = 64, 37 girls, 62.5% White, data collected between 2021-2022) ability to use probabilistic information gleaned through active search to appropriately change or maintain expectations. In an online fishing game, children first learned that one of two ponds was good for catching fish. During a subsequent…

Recent years have seen the development of many novel scoring tools for disease prognosis and prediction. To become accepted for use in clinical applications, these tools have to be validated on external data. In practice, validation is often hampered by logistical issues, resulting in multiple small-sized validation studies. It is therefore…