This book gathers original studies presented at the PROMS 2016 conference on Rasch theories and Rasch-based applications. It provides significant examples used to address practical measurement problems across a range of disciplines, including: Classic Testing Theory (CTT), Item Response Theory (IRT), philosophy of measurement, dimensionality, the role of fit statistics and research, business and industrial applications, health-related research and the latest Rasch-based computer software. PROMS welcomes empirical and theoretical studies and workshops, preferably with an emphasis on the Rasch model. Special attention is paid to manuscripts submitted by non-native English-speaking authors from Pacific Rim countries, regions and beyond. PROMS 2016 (Pacific Rim Objective Measurement Symposium) was held July 30-August 3, 2016 in Xi'an, China. The goal of the conference was to bring together researchers, scholars and professors from research institutes, universities, hospitals, business and management sectors, as well as professional practitioners, to exchange and share ideas, problems and solutions regarding the multifaceted aspects of the Rasch model and on the much debated yet highly topical issues of objective assessment.

This book gathers original studies presented at the PROMS 2016 conference on Rasch theories and Rasch-based applications. It provides significant examples used to address practical measurement problems across a range of disciplines, including: Classic Testing Theory (CTT), Item Response Theory (IRT), philosophy of measurement, dimensionality, the role of fit statistics and research, business and industrial applications, health-related research and the latest Rasch-based computer software. PROMS welcomes empirical and theoretical studies and workshops, preferably with an emphasis on the Rasch model. Special attention is paid to manuscripts submitted by non-native English-speaking authors from Pacific Rim countries, regions and beyond. PROMS 2016 (Pacific Rim Objective Measurement Symposium) was held July 30-August 3, 2016 in Xi'an, China. The goal of the conference was to bring together researchers, scholars and professors from research institutes, universities, hospitals, business and management sectors, as well as professional practitioners, to exchange and share ideas, problems and solutions regarding the multifaceted aspects of the Rasch model and on the much debated yet highly topical issues of objective assessment.

Entrusted by the Board of Management of the Pacific Rim Objective Measurement Symposium (PROMS), PROMS2012 is held in Jiaxing, China from August 6-9, 2012. Over the past years, PROMS has been hosted in many parts of the Pacific Rim, in Singapore, Malaysia, Hong Kong, Taiwan and Tokyo, which has greatly promoted the research of and contributed to the development of Rasch Model in one way or another. As early as in 1980s, the ideas and concepts regarding IRT was first introduced into China by Prof. Gui Shichun, my Ph.D supervisor, and it is Prof. Gui who first conducted with great success the ten-year long (1990-1999) Equating Project for Matriculation English Test (MET) in China. MET is the most influential entrance examination for higher education administered annually to over 3.3 million candidates then. The Equating Project won recognition by Charles Alderson and other foreign counterparts during 1990s. Academically, those were Good Old Days for Chinese testing experts and psychometricians. Then for certain reasons, the equating practice abruptly discontinued. Therefore, in China nowadays, the application of IRT-based software like BILOG, Parscale, Iteman 4 and others to real testing problem solving is confined to an extremely small 'band' of people. In this sense, PROMS2012 meets an important need in that it provides an excellent introduction of IRT and its application. And anyone who is seriously interested in research and development in the field of psychometrics or language testing will find such a symposium and related workshops to be an excellent source of information about the application of Rasch Model. PROMS2012 focuses on recent advances in objective measurement and provides an international forum on both the latest research in using Rasch measurement and non-Rasch practice.

This book collects and organizes the original studies presented at PROMS 2014 conference on theories and applications of Rasch model. It provides useful examples of the Rasch model used to address practical measurement problems across a range of different disciplines including: Item Response Theory (IRT), philosophy of measurement, dimensionality, the role of fit statistics and residuals, application, educational application, language testing, health related research, business and industrial application and Rasch-based computer software. PROMS 2014 (Pacific Rim Objective Measurement Symposium) was held August 2 - 6, 2014 in Guangzhou, China. The goal of this conference is to bring together the researchers from academia, universities, hospitals, industry, management sector as well as practitioners to share ideas, problems and solutions relating to the multifaceted aspects of Rasch Model.

The famous Circuit Double Cover conjecture (and its numerous variants) is considered one of the major open problems in graph theory owing to its close relationship with topological graph theory, integer flow theory, graph coloring and the structure of snarks. It is easy to state: every 2-connected graph has a family of circuits covering every edge precisely twice. C.-Q. Zhang provides an up-to-date overview of the subject containing all of the techniques, methods and results developed to help solve the conjecture since the first publication of the subject in the 1940s. It is a useful survey for researchers already working on the problem and a fitting introduction for those just entering the field. The end-of-chapter exercises have been designed to challenge readers at every level and hints are provided in an appendix.