In psychiatry, the use of rating scales as measures of outcome in clinical trials allows us to generate continuous outcome data, where each individual's outcome is measured in numbers. Continuous outcomes can be divided into two categories, such as improved and not improved, or may be kept continuous. This article briefly presents the main advantages and disadvantages of these two approaches, w...

: DNA methylation plays an important role in many biological processes by regulating gene expression. It is commonly accepted that turning on the DNA methylation leads to silencing of the expression of the corresponding genes. While methylation is often described as a binary on-off signal, it is typically measured using beta values derived from either microarray or sequencing technologies, whic...

Abstract The Fairlie-Gumbel-Morgenstern (FGM) family has been investigated in detail for various continuous marginals such as Cauchy, normal, exponential, gamma, Weibull, lognormal and others. It has been a popular model for the bivariate distribution with mild dependence. However, bivariate FGM’s with continuous marginals on a bounded support discussed in the literature are only those with uni...

For every k ≥ 1 and ℓ , we prove that there is a finite number of -vertex-critical ( P 2 + ) -free graphs. This result establishes the existence new polynomial-time certifying algorithms for deciding -colorability Together with previous research, our also implies following characterization: There H graphs order fixed 5 if only one K 4 ¯ or 3 . We improve recent known all by showing such have at...

In medical research, continuous variables are often converted into categorical variables by grouping values into two or more categories. We consider in detail issues pertaining to creating just two groups, a common approach in clinical research. We argue that the simplicity achieved is gained at a cost; dichotomization may create rather than avoid problems, notably a considerable loss of power ...

This paper gives an overview of promising new developments in robust stability and performance analysis of linear control systems with real parametric uncertainty. The goal is to develop a practical algorithm for medium size problems, where medium size means less than 100 real parameters, and \practical" means avoiding combinatoric (nonpolynomial) growth in computation with the number of parame...

1. Prefatory Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Several Perspectives on Transversal Matroids . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.1. Set systems, transversals, partial transversals, and Hall’s theorem . . . . . . . . 2 2.2. Transversal matroids via matrix encodings of set systems . . . . . ....

Jose Francisco Cumsille. Effect of Dichotomizing Continuous Variables in Regression Models (Under the Direction of Dr. Shrikant I. Bangdiwala). The dichotomization of continuous variables is a very common practice when people analyze data. Some of the consequences of such dichotomization are well known: loss of information, grouping people in the same group when they are different, loss of powe...