In the mid 1980s a number of researchers began to pursue systematic approaches to the statistical modelling and analysis of hierarchically structured data. Aitkin's early work on teaching styles and his subsequent classic work with Longford initiated a series of developments that by the early 1990s had resulted in a core of established techniques and software. The methods are now finding wide applications in education, epidemiology, geography, child development, and sociology. This new edition aims to integrate existing methodological developments, provide examples, and explain new developments, especially in discrete response data, times series models, random cross classifications, errors of measurement, missing data, and nonlinear models.
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Goldstein integrates existing statistical methodologies within a consistent terminology and avoids undue statistical complexity. He explains a number of new developments, particularly in the areas of discrete response data, random cross classifications, time series and nonlinear models, measurement errors and missing data. Numerous examples and diagrams illustrate the applications of techniques and methodological derivations are included in the appendices.
Throughout the social, medical and other sciences the importance of understanding complex hierarchical data structures is well understood. Multilevel modelling is now the accepted statistical technique for handling such data and is widely available in computer software packages. A thorough understanding of these techniques is therefore important for all those working in these areas. This new edition of Multilevel Statistical Models brings these techniques together, starting from basic ideas and illustrating how more complex models are derived. Bayesian methodology using MCMC has been extended along with new material on smoothing models, multivariate responses, missing data, latent normal transformations for discrete responses, structural equation modeling and survival models.
Key Features:
· Provides a clear introduction and a comprehensive account of the
of multilevel models.
· New methodological developments and applications are explored.
· Written by a leading expert in the field of multilevel methodology.
· Illustrated throughout with real-life examples, explaining theoretical
concepts.
This book is suitable as a comprehensive text for postgraduate courses, as well as a general reference guide. Applied statisticians in the social sciences, economics, biological and medical disciplines will find this book beneficial
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