An elementary proof using matrix theory is given for the following criterion: if "F"/"K" and "L"/"K" are field extensions, with "F" and "L" both contained in a common extension field, then "F" and "L" are linearly disjoint over "K" if (and only if) some…

In this short article, we prove an identity from which a theorem of Katsuura and two conjectures previously posed in this JOURNAL follow directly.

We discuss the motivation for dimension reduction in the context of the modern data revolution and introduce a key result in this field, the Johnson-Lindenstrauss flattening lemma. Then we leap into high-dimensional space for a glimpse of the phenomenon called concentration of measure, and use it to sketch a proof of the lemma. We end by tying…

The two studies conducted by Weiss, Keith, Zhu, and Chen in 2013 on the Wechsler Adult Intelligence Scale (WAIS-IV) and the Wechsler Intelligence Scale for Children (WISC-IV), respectively, provide strong evidence for the validity of a four-factor solution corresponding to the current hierarchical model of both scales. These analyses support the…

Fidelity measurement is critical for testing the effectiveness and implementation in practice of psychosocial interventions. Adherence is a critical component of fidelity. The purposes of this review were to catalogue adherence measurement methods and assess existing evidence for the valid and reliable use of the scores that they generate and the…

This study assessed the validity of the Social Communication Questionnaire (SCQ) in a sample of 69 adults, aged 18-40 years old. Participants included 21 adults diagnosed with an autism spectrum disorder (ASD) and intellectual disability (ID), and 48 individuals diagnosed with ID and no diagnosis of an ASD. The SCQ yielded a sensitivity of 0.71…

The majority of documented phishing attacks have been carried by email, yet few studies have measured the impact of email headers on the predictive accuracy of machine learning techniques in detecting email phishing attacks. Research has shown that the inclusion of a limited subset of email headers as features in training machine learning…

Background/Context: Recent U.S. policy has brought a shift in assessment use, from measurement tools to policy levers. In particular, testing has become a core part of teacher evaluation policies in many states, with test results becoming akin to a job evaluation. Purpose: To explore the notion of consequential validity in assessment use and…

In validating uses of testing, it is helpful to distinguish those that rely directly on the information provided by scores or score distributions ("direct" uses and consequences) versus those that instead capitalize on the motivational effects of testing, or use testing and test reporting to shape public opinion ("indirect" uses and consequences).…

Developing writers make qualitative changes in their written products as they progress from scribbling and drawing to conventional, paragraph level writing. As yet, a comprehensive measurement tool does not exist that captures the linguistic and communicative changes (not just emergent spelling) in the early stages of this progression. The…

Divorce is often accompanied by feelings of guilt toward the former spouse. So far, no scale has been available to measure such feelings. For this purpose, the authors developed the Guilt in Separation Scale (GiSS). Content validity was assured by using experts and lay experts to generate and select items. Exploratory analyses were run on samples…

A program of research is necessary to examine the psychometric properties of instruments designed to measure individuals' achievement goal orientations. Recently, research on achievement goal orientation has examined the stability of achievement goals to assess how context might influence individuals' achievement goals. Accordingly, studies are…

This paper reports three studies examining construct validity evidence for two recently developed measures of the positive side of the work-family interface: work-to-family positive spillover (WFPS; Hanson, Hammer, & Colton, 2006) and work-to-family enrichment (WFE; Carlson, Kacmar, Wayne, & Grzywacz, 2006). Using confirmatory factor analysis, the…

The aim of the study was to examine the importance of reliability and validity as necessary foundation for fair assessment. The concepts of reliability, validity, fair assessment and their relationships were analysed. Qualities of fair assessment were discussed. A number of recommendations were made to make assessors be more cautious in award of…

The discrete Fourier series is a valuable tool developed and used by mathematicians and engineers alike. One of the most prominent applications is signal processing. Usually, it is important that the signals be transmitted fast, for example, when transmitting images over large distances such as between the moon and the earth or when generating…