DFIT: An R Package for Raju's Differential Functioning of Items and Tests Framework

This paper presents DFIT, an R package that implements the differential functioning of items and tests framework as well as the Monte Carlo item parameter replication approach for producing cut-off points for differential item functioning indices. Furthermore, it illustrates how to use the package to calculate power for the NCDIF index, both post hoc, as has regularly been the case in differential item functioning empirical and simulation studies, as well as a priori given certain item parameters. The version reviewed here implements all DFIT indices and Raju's area measures for tests comprised of items modeled with the same parametric item response unidimensional model (1-, 2-, and 3-parameters, generalized partial credit model or graded response model), the Mantel-Haenszel statistic with an underlying dichotomous item response model, and the item parameter replication method for any of the estimated indices with dichotomous item response models

Ermakov Systems with Multiplicative Noise

Using the Euler-Maruyama numerical method, we present calculations of the Ermakov-Lewis invariant and the dynamic, geometric, and total phases for several cases of stochastic parametric oscillators, including the simplest case of the stochastic harmonic oscillator. The results are compared with the corresponding numerical noiseless cases to evaluate the effect of the noise. Besides, the noiseless cases are analytic and their analytic solutions are briefly presented. The Ermakov-Lewis invariant is not affected by the multiplicative noise in the three particular examples presented in this work, whereas there is a shift effect in the case of the phasesComment: 12 pages, 4 figures, 22 reference

Model of unidirectional block formation leading to reentrant ventricular tachycardia in the infarct border zone of postinfarction canine hearts

AbstractBackgroundWhen the infarct border zone is stimulated prematurely, a unidirectional block line (UBL) can form and lead to double-loop (figure-of-eight) reentrant ventricular tachycardia (VT) with a central isthmus. The isthmus is composed of an entrance, center, and exit. It was hypothesized that for certain stimulus site locations and coupling intervals, the UBL would coincide with the isthmus entrance boundary, where infarct border zone thickness changes from thin-to-thick in the travel direction of the premature stimulus wavefront.MethodA quantitative model was developed to describe how thin-to-thick changes in the border zone result in critically convex wavefront curvature leading to conduction block, which is dependent upon coupling interval. The model was tested in 12 retrospectively analyzed postinfarction canine experiments. Electrical activation was mapped for premature stimulation and for the first reentrant VT cycle. The relationship of functional conduction block forming during premature stimulation to functional block during reentrant VT was quantified.ResultsFor an appropriately placed stimulus, in accord with model predictions: 1. The UBL and reentrant VT isthmus lateral boundaries overlapped (error: 4.8±5.7mm). 2. The UBL leading edge coincided with the distal isthmus where the center-entrance boundary would be expected to occur. 3. The mean coupling interval was 164.6±11.0ms during premature stimulation and 190.7±20.4ms during the first reentrant VT cycle, in accord with model calculations, which resulted in critically convex wavefront curvature and functional conduction block, respectively, at the location of the isthmus entrance boundary and at the lateral isthmus edges.DiscussionReentrant VT onset following premature stimulation can be explained by the presence of critically convex wavefront curvature and unidirectional block at the isthmus entrance boundary when the premature stimulation interval is sufficiently short. The double-loop reentrant circuit pattern is a consequence of wavefront bifurcation around this UBL followed by coalescence, and then impulse propagation through the isthmus. The wavefront is blocked from propagating laterally away from the isthmus by sharp increases in border zone thickness, which results in critically convex wavefront curvature at VT cycle lengths

Hypercyclic systems of measurements

Cyclic systems have played a dominant role in the foundations of quantum mechanics, especially in contextuality analysis. By now we have an essentially complete theory of the cyclic systems, both without and with disturbance, including different measures of contextuality and their properties. In this concept paper we introduce a new class of systems of measurements, one that generalizes the class of cyclic systems while preserving some of their structural characteristics. We suggest that theoretical and experimental analysis of these hypercyclic systems may prove to be beneficial in developing theories of contextuality.Comment: 4 pp, 1 figur