Phantastes Chapter 23: The Countess of Pembroke’s Arcadia

Sir Philip Sidney (1554-1583) was an Elizabethan courtier, soldier, and poet. The quotation derives from The Countess of Pembroke’s Arcadia (1590), and sets out Sidney’s definition of a gentleman. Late in his writing career, MacDonald published a collection of excerpts from Sidney: A Cabinet of Gems, Cut and Polished by Sir Philip Sidney (1892). MacDonald lectured on Sidney as early as 1854

A Differential Response Functioning Framework for Understanding Item, Bundle, and Test Bias

This dissertation extends the parametric sampling method and area-based statistics for differential test functioning (DTF) proposed by Chalmers, Counsell, and Flora (2016). Measures for differential item and bundle functioning are first introduced as a special case of the DTF statistics. Next, these extensions are presented in concert with the original DTF measures as a unified framework for quantifying differential response functioning (DRF) of items, bundles, and tests. To evaluate the utility of the new family of measures, the DRF framework is compared to the previously established simultaneous item bias test (SIBTEST) and differential functioning of items and tests (DFIT) frameworks. A series of Monte Carlo simulation conditions were designed to estimate the power to detect differential effects when compensatory and non-compensatory differential effects are present, as well as to evaluate Type I error control. Benefits inherent to the DRF framework are discussed, extensions are suggested, and alternative methods for generating composite-level sampling variability are presented. Finally, it is argued that the area-based measures in the DRF framework provide an intuitive and meaningful quantification of marginal and conditional response bias over and above what has been offered by the previously established statistical frameworks

What Becomes of Global Color

The recent demise of certain global unbroken symmetry generators in the presence of a grand unified magnetic monopole leads us to consider more carefully the notion of charges associated with gauge symmetries. It turns out that global transformations associated with the generators of the gauge group, and their charges, make sense only for extended systems which are sufficiently localized. GUT monopoles fail this criterion. Detailed consideration of the monopole-antimonopole system helps remove apparent paradoxes related to the chromodyon excitations of a single monopole and agrees with the previous result that some, but not all, of the states naively expected do exist. The remaining states ns needed to fill out color multiplets are spread throughout space; they are recovered as long-lived excitations when an antimonopole is brought in from infinity

Elleen

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