Take a family of independent events. If some of these events, or all of them, are replaced by their complements, then independence still holds. This fact, which is agreed upon by the members of the statistical/probability communities, is tremendously well known, is fairly intuitive and has always been frequently used for easing probability…

The purpose of this article is to provide an explicit formula for the bounds of integration of the regular simplex centred at the origin. Furthermore, this article rigorously proves that these integration bounds recover the volume of the regular simplex. To the authors' knowledge, this is the first time that such integration bounds have been…

Response process validity evidence can provide researchers with insight into how and why participants interpret items on instruments such as tests and questionnaires. In chemistry education research literature and the social sciences more broadly, response process validity evidence has been used and reported in a variety of ways. This paper's…

An online intro-to-proof course provided an unexpected opportunity for a series of email exchanges that yielded insights into one student's mathematical thinking and the ambiguous role of mathematical jargon in miscuing this student's reasoning. The jargon deals with the notation [limit value of a function], which encapsulates multiple conceptual…

Geometric constructions present an opportunity to help students develop geometric proofs and justifications while actively creating mathematical representations (Mariotti, 2001). Though traditionally carried out with paper and pencil, dynamic geometry software allows students to produce more precise constructions with greater certainty…

In language assessment, AI technology has been incorporated in task design, assessment delivery, automated scoring of performance-based tasks, score reporting, and provision of feedback. AI technology is also used for collecting and analyzing performance data in language assessment validation. Research has been conducted to investigate the…

Creativity testing as it is now done is often based on a defective assumption that different kinds of creativity can be compressed into a single unidimensional scale. There is no reason to believe that the different kinds of creativity represent, simply, different amounts of a single unidimensional construct. The article shows how three different…

Psychometrics is the field of designing tests and assessments to measure certain psychological concepts. It is chiefly concerned with two fundamental properties: reliability and validity. These properties are often influenced by confounding variables: other things that can influence performance but are not what you are trying to measure. Here, I…

Artificial intelligence (AI) is transforming multiple facets of the competitive business world and education. Despite this, the full potential of AI applications within education remains unclear because of the lack of a comprehensive framework on how to use AI in developing assessments across various academic disciplines. While incorporating AI…

While noncompliance is a concerning challenging behavior and commonly reported by educators, its measurement is likely to be invalid and inaccurate given the subjectivity of the operational definition. Engagement is offered as a more valid, accurate measurement that may provide data regarding the amount of instruction accessed by the student. In…

Over the past decade, testing and assessing spoken-language interpreting has garnered an increasing amount of attention from stakeholders in interpreter education, professional certification, and interpreting research. This is because in these fields assessment results provide a critical evidential basis for high-stakes decisions, such as the…

India is the second largest higher education network in the world, where the business environment is highly complex and competitive. So, what we need is an element of distinctiveness in our institutions of higher learning. A modification is required in the way these institutions are being run and supervised. A workable solution for managing and…

This guide offers a comprehensive handbook to scientific research methodology and experimental design, specifically for novice MA and PhD researchers in Education and Language Learning (TESOL/TEFL). It establishes scientific research as a systematic, objective inquiry focused on identifying cause-and-effect relationships through empirical data.…

This technical manual describes the purpose and intended uses of the TOEFL iBT test, its target test-taker population, and relevant language use domains. The test design and scoring procedures are presented first, followed by a research agenda intended to support the interpretation and use of test scores. Given the updates to the test starting…

The objective of this paper is to comment on the think-aloud methods presented in the three papers included in this special issue. The commentary offered stems from the author's own psychological investigations of unobservable information processes and the conditions under which the most defensible claims can be advanced. The structure of this…