Consistency of non parametric estimators of the area under the ROC curve

ABSTRACT

The area under the receiver operating characteristic (ROC) curve is a popular summary index that measures the accuracy of a continuous-scale diagnostic test to measure its accuracy. Under certain conditions on estimators of distribution functions, we prove a theorem on strong consistency of the non parametric “plugin” estimators of the area under the ROC curve. Based on this theorem, we construct some new “plugin” consistent estimators. The performance of the non parametric estimators considered is illustrated numerically and the estimators are compared in terms of bias, variance, and mean square error.     

Institutions as dispositions: Searle,Smith and the metaphysics of blind chess

This paper addresses the question what the fundamental nature and mode of being of institutional reality is. Besides the recent debate with Tony Lawson, Barry Smith is also one of the relatively few authors to have explicitly challenged John Searle's social ontology on this metaphysical question, with Smith's realism requirement for institutions conflicting with Searle's requirement of a one‐world naturalism. This paper proposes that an account of institutions as powers or dispositions is not only congenial to Searle's general account, but can also satisfy both the realism and the one world requirements. Searle's worry that such a dispositional account is unable to account for the deontic nature of institutions is countered by an appeal to higher‐order powers as well as Searle's notion of the gap and desire‐independent reasons for action.     

Recoverable robust spanning tree problem under interval uncertainty representations

This paper deals with the recoverable robust spanning tree problem under interval uncertainty representations. A strongly polynomial time, combinatorial algorithm for the recoverable spanning tree problem is first constructed. This problem generalizes the incremental spanning tree problem, previously discussed in literature. The algorithm built is then applied to solve the recoverable robust spanning tree problem, under the traditional interval uncertainty representation, in polynomial time. Moreover, the algorithm allows to obtain several approximation results for the recoverable robust spanning tree problem under the Bertsimas and Sim interval uncertainty representation and the interval uncertainty representation with a budget constraint.     

Why practitioners do (not) apply crisis communication theory in practice

Twenty-five in-depth interviews with Belgian crisis communication practitioners were conducted to examine the gap between theory and practice. Crisis communication has become an important research area within public relations. Several studies have resulted in theories and guidelines regarding the effective use of communication during organizational crises. Unfortunately, these findings are not always put into practice. This study examines to what extent public relations practitioners apply theory in practice during crises and why. The findings offer an opportunity to formulate potential ways in which we can bridge the scholar-practitioner divide in public relations, through guidelines for both scholars and practitioners.     

Developing intercultural competence of teachers of English as a foreign language through an international project

This paper reports an international project which took place at Nicolaus Copernicus University, where students and teachers from four European universities met for a two-week summer school. The main objective was to develop intercultural competence of teachers of English as a foreign language and their ability to demonstrate this skill during an English lesson. The paper depicts the tools implemented in the project and shows how they affected the learning outcomes by presenting the students’ and teachers’ perspectives.     

The Żmiąca effect

Monographs of local communities are a genre of sociological craft which — along with analyses of personal documents — became a distinguishing mark of Polish empirical sociology. In 2003 turned exactly 100 years from publication of the first sociologically mature village monograph in Poland, e. g. “?mi?ca. Wie? powiatu limanowskiego. Stosunki gospodarcze i spo?eczne” [?mi?ca. A village of the Limanowa county. Economic and social relations] by one of the founding fathers of Polish social sciences, Franciszek Bujak. This paper describes and analyses the impacts of this study and develops a typology of monographs. Additionally, problems of representativeness of monographs are discussed.     

The Scaled Uniform Model Revisited

Abstract

Sufficiency, conditionality, and invariance are basic principles of statistical inference. Current mathematical statistics courses do not devote much teaching time to these classical principles, and even ignore the latter two, in order to teach modern methods. However, being the philosophical cornerstones of statistical inference, a minimal understanding of these principles should be part of any curriculum in statistics. The scaled uniform model is used here to demonstrate the importance and usefulness of the conditionality principle, which is probably the most basic and less familiar among the three.