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E-book
Author Andrich, David, author

Title A course in Rasch measurement theory : measuring in the educational, social and health sciences / David Andrich, Ida Marais
Published Singapore : Springer, [2019]

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Description 1 online resource
Series Springer texts in education
Springer texts in education.
Contents Intro; Preface; Acknowledgements; Contents; General Principles and the Dichotomous Rasch Model; 1 The Idea of Measurement; Latent Traits; Assessment: A Distinction Between Latent and Manifest; Scoring Assessments; Dichotomous Items and Their Scoring; Polytomous Items and Their Scoring; Key Features of Measurement in the Natural Sciences; Stevens' Levels of Measurement; Nominal Use of Numbers; Ordinal Use of Numbers; Interval Use of Numbers; Ratio Use of Numbers; Reliability and Validity; Some Definitions; A Model of Measurement; Exercises; References
2 Constructing Instruments to Achieve MeasurementConstructing Tests of Proficiency to Achieve Measurements; Constructing Rating Scales to Achieve Measurements; Number, Order and Wording of Response Categories; An Example of the Assessment of Writing by Raters; An Example of the Assessment of the Early Development Indicator Instrument; The Measurement of Attitudes: Two Response Mechanisms; An Example: The Cumulative Mechanism; An Example: The Unfolding Mechanism; A Practical Approach: Likert Scales; Exercises; References; 3 Classical Test Theory; Elements of CTT
Common Factors Affecting Reliability and ValidityCausal and Index Variables; Exercises; References; 5 The Guttman Structure and Analysis of Responses; The Guttman Structure; Interpretations of the Continuum in the Guttman Structure; Elementary Analysis According to the Guttman Structure in the Case of a Proficiency Example; Item Analysis; Person Analysis; Extended Guttman Analysis: Polytomous Items; Exercises; References; 6 The Dichotomous Rasch Model-The Simplest Modern Test Theory Model; Abstracting the Proportion of Successes in a Class Interval to Probabilities
A Two-Way Frame of Reference and Modelling a Person's Response to an ItemEngagements of Persons with Items; Formalizing Parameters in Models; Effects of Spread of Item Difficulties; Person-Item Engagements; Examples; Item Characteristic Curve and the Location of an Item; The Dichotomous Rasch Model: A General Formula; Specific Objectivity; Exercises; References; 7 Invariance of Comparisons-Separation of Person and Item Parameters; Conditional Probabilities with Two Items in the Rasch Model; Example; The Condition of Local Independence; The Principle of Invariant Comparisons; Exercises
Summary This book applies Rasch measurement theory to the fields of education, psychology, sociology, marketing and health outcomes in order to measure various social constructs. The chief focus is on first principles of both the theory and its applications. Because software is readily available to carry out analyses of real data, numerous small examples are provided in the book. The software used in these examples, and which is helpful in working through the text, is RUMM2030 (Rasch unidimensional models for measurement). The book's main goals are to equip researchers with the confidence they need in order to be in control of the analysis and interpretation of data, and to make professional rather than primarily statistical decisions mechanically. Because statistical principles are necessarily involved, reviews of the requisite statistics are provided in the Appendix. The content is based on courses that have been taught both online and in intensive form for over two decades. Although first principles are emphasised, much of the book is based on research conducted by the two authors and their colleagues
Notes Online resource; title from digital title page (viewed on September 06, 2019)
Subject Social sciences -- Mathematical models
Rasch models.
Rasch models
Social sciences -- Mathematical models
Form Electronic book
Author Marais, Ida, author
ISBN 9811374961
9789811374975
981137497X
9789811374968