Underestimation of reliability is discussed from the viewpoint of deflation in estimates of reliability caused by artificial systematic technical or mechanical error in the estimates of correlation. Most traditional estimators of reliability embed product–moment correlation coefficient in the form of item–score correlation or principal component or factor loading. PMC is known to be severely affected by several sources of deflation such as the difficulty level of the item and discrepancy of the scales of the variables of interest and, hence, the (...) estimates by Rit and λi are always deflated in the settings related to estimating reliability. As a short-cut to deflation-corrected estimators of reliability, this article suggests a procedure where Rit and λi in the estimators of reliability are replaced by alternative estimators of correlation that are less deflated. These estimators are called deflation-corrected estimators of reliability. Several families of DCERs are proposed and their behavior is studied by using polychoric correlation coefficient, Goodman–Kruskal gamma, and Somers delta as examples of MEC-corrected coefficients of correlation. (shrink)

The reliability of a test score is discussed from the viewpoint of underestimation of and, specifically, deflation in estimates or reliability. Many widely used estimators are known to underestimate reliability. Empirical cases have shown that estimates by widely used estimators such as alpha, theta, omega, and rho may be deflated by up to 0.60 units of reliability or even more, with certain types of datasets. The reason for this radical deflation lies in the item–score correlation embedded in the estimators: because (...) the estimates by Rit are deflated when the number of categories in scales are far from each other, as is always the case with item and score, the estimates of reliability are deflated as well. A short-cut method to reach estimates closer to the true magnitude, new types of estimators, and deflation-corrected estimators of reliability, are studied in the article. The empirical section is a study on the characteristics of combinations of DCERs formed by different bases for estimators, different alternative estimators of correlation as the linking factor between item and the score variable, and different conditions. Based on the simulation, an initial typology of the families of DCERs is presented: some estimators are better with binary items and some with polytomous items; some are better with small sample sizes and some with larger ones. (shrink)

Effective teachers use mnemonic tools or mnemonic triggers to improve the students’ retention of the study material. This article discusses mnemonic triggers from a theoretical viewpoint based on Jerome S. Bruner’s writings. Fifty small linguistic–cognitive, constructive-, rhetorical-, and phonological mnemonic triggers are detected. These triggers may be the elements our brain use when “constructing the realities” in a Brunerian sense when ordering, differentiating, comparing, and handling information, stories and experiences in our brain. Many of these are small, hidden linguistic elements (...) in speech. This article discusses their usage in the educational talk and textbooks. (shrink)