Extending The Partial Credit And Rating Scale Models Using The Hierarchical Multivariate Generalized Linear Model

Extending the Partial Credit and Rating Scale Models Using the Hierarchical Multivariate Generalized Linear Model

Advancing Methodologies to Support Both Summative and Formative Assessments

Over the past thirty years, student assessment has become an increasingly important component of public education. A variety of methodologies in testing have been developed to obtain and interpret the wealth of assessment outcomes. As assessment goals are getting increasingly multifaceted, new testing methodologies are called for to provide more accessible and reliable information on more complex constructs or processes, such as students' critical thinking and problem-solving skills. Testing methodologies are needed to extract information from assessments on such complicated skills, in order to advise teachers about certain areas of students that need intervention. It is even a bigger challenge, and a vital mission of today’s large-scale assessments, to gain such information from testing data in an efficient manner. For example PARCC and Smarter Balanced Assessments consortia are both striving to offer formative assessments through individualized, tailored testing. The book provides state-of-the-art coverage on new methodologies to support tradit ional summative assessment, and more importantly, for emerging formative assessments.

Multivariate and Mixture Distribution Rasch Models

This volume gathers together a set of extensions of the Rasch model, one of the most prominent models for measurement in educational research and - cial science developed by Danish mathematician Georg Rasch. The idea for this volume emerged during a meeting of the Psychometric Society in M- terey, CA. At that meeting, friends and colleagues discussed news about the impending retirement of Dr. Jurgen ̈ Rost, an important innovator and m- tor in this ?eld. To recognize Jurgen’s ̈ contributions, we decided to produce a collection of research on extending the Rasch model as well as embedding the Rasch model in more complex statistical models, an area that is receiving broad interest in many ?elds of social sciences at the current time. This collection contains 22 chapters by recognized international experts in the?eld.Thecontributionscovertopicsrangingfromgeneralmodelextensions to application in ?elds as diverse as cognition, personality, organizational and sports psychology, and health sciences and education. The Rasch model is designed for categorical data, often collected as ex- inees’ responses to multiple tasks such as cognitive items from psychological tests or from educational assessments. The Rasch model’s elegant mathema- cal form is suitable for extensions that allow for greater ?exibility in handling complex samples of examinees and collections of tasks from di?erent domains. In these extensions, the Rasch model is enhanced by additional structural - ements that account either for di?erences between diverse populations or for di?erences among observed variables.