COMPARING THE STRUCTURAL COMPONENTS VARIANCE ESTIMATOR AND USTATISTICS VARIANCE ESTIMATOR WHEN ASSESSING THE DIFERENCE BETWEEN CORRELATED AUCs WITH FINITE SAMPLES By Anna Leigh Bosse, M.S. A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science at Virginia Commonwealth University. Virginia Commonwealth University, 2017 Major Director: Dr. Le Kang, Assoc...

Smooth linear statistics of random permutation matrices, sampled under a general Ewens distribution, exhibit an interesting non-universality phenomenon. Though they have bounded variance, their fluctuations are asymptotically non-Gaussian but infinitely divisible. The fluctuations are asymptotically Gaussian for less smooth linear statistics for which the variance diverges. The degree of smooth...

Motivated by coding applications,two enumeration problems are considered: the number of distinct divisors a degree-m polynomial over F = GF(q), and ways can be written as product two polynomials degree at most n F. For problems, bounds obtained on maximum factorizations, characterization is presented for attaining that maximum. Finally, expressions average variance any given m (respectively, n).

A student’s peers are often thought to influence his or her educational outcomes. If so, an unequal distribution of advantaged and disadvantaged students across schools (“sorting”) in a community will amplify existing inequalities. This paper explores the relationship between the degree of sorting across schools within a community and educational inequality as measured by the variance of standa...

This study was conducted with the objective of evaluating the variance structure of the trunk and racket arm joint angles in table tennis topspin forehand using the uncontrolled manifold (UCM) approach, regarding racket orientation as the task variable. Nine advanced and eight intermediate male collegiate table tennis players performed the topspin strokes against backspin balls. The trunk, uppe...

To investigate the influence of demographic and physiological variables on the degree of distress associated with asthma, 124 patients were recruited from six countries. All patients responded to 76 items relating to symptoms and impacts of asthma on daily living by marking a 10 cm visual analogue scale (VAS) to indicate the degree of distress associated with any particular item. The influence ...

Real-world networks tend to be scale free, having heavy-tailed degree distributions with more hubs than predicted by classical random graph generation methods. Preferential attachment and growth are the most commonly accepted mechanisms leading these incorporated in Barabási–Albert (BA) model (Barabási, 2009 [1]). We provide an alternative using a randomly stopped linking process inspired gener...