دانلود کتاب مقدمه ای بر مدل راش با مثال هایی در R

The goal of this book is to provide an accessible introduction to the Rasch model (Rasch, 1960), an important tool in educational and psychological measurement named after the Danish mathematician Georg Rasch. The Rasch model mathematically describes the responses of a sample of test takers on a set of test items. The application of a mathematical model allows a precise description of the characteristics of test takers and test items. This in turn allows, for instance, the estimation of a person’s abilities based on their test performance and the detection of awed test items, which can a_ect the fairness of a test. One hurdle for many attempting to learn about this model is the mathematical and statistical background required to do so. We have collected all of this background knowledge into the chapters and appendices of this book, with the hope of making the mathematics and statistics behind the Rasch model accessible to everyone. For this reason, this book is well-suited for use in an introductory class within a psychology or educational science program, or for learning on your own. In many places in the book, you will _nd that we provide more detailed accounts of the steps involved in a computation than most other textbooks on this topic. We wanted to create a book that is accessible for a variety of audiences, and we have included this material to help readers with less mathematics training. Some readers may prefer focusing on the text and returning to the math sections later, if necessary. In addition to the theory, we also provide a number of hands-on examples in R, which is a free, open-source software platform for statistics. We do not assume any prior experience with R and provide all of the information you will need to get started in this book. That said, this is not a general introduction to R. If you would like to use R for other applications, we recommend an introductory R textbook.