An "n"-dimensional generalization of the standard cross product leads to an "n"-dimensional generalization of the Pythagorean theorem.

If students are presented the standard proof of irrationality of [square root]2, can they generalize it to a proof of the irrationality of "[square root]p", "p" a prime if, instead of considering divisibility by "p", they cling to the notions of even and odd used in the standard proof?

Kane (this issue) presents a comprehensive review of validity theory and reminds us that the focus of validation is on test score interpretations and use. In reacting to his article, I support the argument-based approach to validity and all of the major points regarding validation made by Dr. Kane. In addition, I call for a simpler, three-step…

According to Kane (this issue), "the validity of a proposed interpretation or use depends on how well the evidence supports" the claims being made. Because truth and evidence are distinct, this means that the validity of a test score interpretation could be high even though the interpretation is false. As an illustration, we discuss the case of…

Simulations are widely used. Simulations produce numbers that are deductive demonstrations of what a model says will happen.They produce numerical results that are consistent with the premises of the model used to generate the numbers. These simulated numerical results are not empirical data that address aspects of the world that lies outside the…

Community service is deeply rooted in American culture. There have been repeated calls for the necessity of evaluating these programs, especially for service-learning. The purpose of this research was to validate an easy-to-use scale that measures 10 components of students' attitudes toward community service. The sample was drawn from two…

Poor construct definition has characterized research on virtue, beginning with Hartshorne and May's honesty studies and continuing to the present. Recently, scholars have begun to define virtues in ways that improve the prospects for measuring virtue constructs, but a coordinated, programmatic approach is necessary for success in virtue…

Purpose: The authors provide a review of the psychometric properties of 6 norm-referenced tests designed to measure children's phonological error patterns. Three aspects of the tests' psychometric adequacy were evaluated: the normative sample, reliability, and validity. Method: The specific criteria used for determining the psychometric…

This paper focuses on the particular kinds of difficulties which arise in the study of an emergent tone-system, exemplified by Tamang in Nepal, where pitch, phonation and other laryngeal features combine in the definition of a tone. As a consequence, conducting a well-ordered analysis in stages first of phonetic transcription, then variation in…

Health education and behavior researchers and practitioners often develop, adapt, or adopt surveys/scales to quantify and measure cognitive, behavioral, emotional, and psychosocial characteristics. To ensure the integrity of data collected from these scales, it is vital that psychometric properties (i.e., validity and reliability) be assessed. The…

Interest in collecting and mining large sets of educational data on student background and performance to conduct research on learning and instruction has developed as an area generally referred to as learning analytics. Higher education leaders are recognizing the value of learning analytics for improving not only learning and teaching but also…

The current study aims to evaluate the psychometric properties of the Emotion Regulation and Social Skills Questionnaire (ERSSQ), a rating scale designed specifically to assess the social skills of young people with Autism Spectrum Disorder (ASD). The participants were 84 children and young adolescents with ASD, aged between 7.97 and 14.16 years…

The current study describes the development and psychometric properties of a new measure targeting sensitivity to change of core autism spectrum disorder (ASD) symptoms, the Autism Impact Measure (AIM). The AIM uses a 2-week recall period with items rated on two corresponding 5-point scales (frequency and impact). Psychometric properties were…

This article examines the issue of the quality of teacher-produced tests, limiting itself in the current context to objective, multiple-choice tests. The article investigates a short, two-part 20-item English language test. After a brief overview of the key test qualities of reliability and validity, the article examines the two subtests in terms…

We investigated influences of non-alphanumeric rapid naming on decoding skill growth for regularly and irregularly spelled English words. In a longitudinal study, 52 at-risk and 69 not-at-risk readers were tracked from Grade 1 to Grade 3. Non-alphanumeric rapid naming ability measured in Grade 1 accounted for unique variance in irregular word…