Standard Error of Measurement

The standard error of measurement (SEM) is the standard deviation of errors of measurement that are associated with test scores from a particular group of examinees. When used to calculate confidence bands around obtained test scores, it can be helpful in expressing the unreliability of individual test scores in an understandable way. Score bands can also be used to interpret intraindividual and interindividual score differences. Interpreters should be wary of over-interpretation when using approximations for correctly calculated score bands. It is recommended that SEMs at various score levels be used in calculating score bands rather than a single SEM value.     

Infinite sequences and their h-type indices

Starting from the notion of h-type indices for infinite sequences we investigate if these indices satisfy natural inequalities related to the arithmetic, the geometric and the harmonic mean. If f denotes an h-type index, such as the h- or the g-index, then we investigate inequalities such as min(f(X),f(Y)) ≤ f((X?+?Y)/2) ≤ max(f(X), f(Y)). We further investigate if: f(min(X,Y)) = min(f(X),f(Y)) and if f(max(X,Y)) = max(f(X),f(Y)). It is shown that the h-index satisfies all the equalities and inequalities we investigate but the g-index does not always, while it is always possible to find a counterexample involving the R-index. This shows that the h-index enjoys a number of interesting mathematical properties as an operator in the partially ordered positive cone (R⁺)^∞ of all infinite sequences with non-negative real values.In a second part we consider decreasing vectors X and Y with components at most at distance d. Denoting by D the constant sequence (d,d,d, …) and by Y-D the vector (max(y_r-d), 0)_r, we prove that under certain natural conditions, the double inequality h(Y-D) ≤ h(X) ≤ h(Y?+?D) holds.     

Death education--where is thy sting?

We are not free to choose whether anyone will learn about death, though we have some choice about how they will learn. The author discusses the basic questions that need to be answered in planning death education at any level, and the possible goals, in terms of cognitive gain, skills, and attitudinal objectives. Some principles in regard to teaching methods and evaluation are described, with illustrations from the experiences of medical students and others. It is important that the teacher should be able to deal with the problems that such programs may arouse. Cheap emotional arousal is easy to produce, but trivial, unless creatively used for a valued purpose and adequately resolved. Death is infinitely exploitable, and the growth of death voyeurism via "education" is alarming. The capacity to recognize and avoid being exploited or exploiting others must be one of our principle educational objectives.     

The relationship between school belonging,sibling aggression and bullying involvement: implications for students with and without disabilities

Bullying is grounded in the interactions between an individual and complex social–ecological systems. Therefore, bullying involvement is not just confined to the classroom or school. Recent research suggests that sibling aggression may be a predictor for peer-level aggression. These findings may be more relevant for students with disabilities because studies suggest that students with disabilities are disproportionately involved in the bullying dynamic. Therefore, this study explored the intersection between sibling aggression and school belonging on bullying, victimisation and fighting for 14,508 students, including 1183 students with disabilities and 13,325 students without disabilities in grades 6 through 12. As hypothesised, students with disabilities reported higher levels of victimisation, bullying and fighting. Additionally, high levels of school belonging partially buffered fighting and bullying behaviours for students with and without disabilities. These findings demonstrate the importance of establishing an inclusive and safe environment for school-aged youth.     

On sustenance: Teaching and learning the great works

This essay is for J. Walter Sterling and my students during the Fall 1988 Semester.     

Assessing postgraduate student perceptions and measures of learning in a peer review feedback process

Peer review feedback, developed to assist students with increasing the quality of group reports and developing peer review skills, was added to a master’s level Climate Change Policy and Planning unit. A pre- and post-survey was conducted to determine whether students found the process a valuable learning opportunity: 87% of students responding to the post-review survey indicated they saw benefit in both developing and receiving peer review feedback. Peer review design minimising the potential for plagiarism resulted in low levels of student concern surrounding plagiarism. Marks allocated by students were valid (consistent with the lecturer) and were generally reliable; however, distribution of marks had a higher variance where group report quality was low. Training on completing the peer review template could result in more reliable feedback. Consistent with the literature, the feedback developed during the peer review process focused on style and presentation preferentially to content. Seven out of eight group reports improved between report submissions, with all groups responding to peer review feedback. Peer review feedback and changes made to group reports indicated students had limited capacity to judge the quality of referencing and critical analysis.