Goldstein Harvey. Multilevel Statistical Models

4th ed. — John Wiley & Sons, 2011. — 358 p.In the mid-1980s, a number of researchers began to see how to introduce systematic.
approaches to the statistical modelling and analysis of hierarchically structured data.
The early work of Aitkin et al. (1981) on the teaching styles’ data and Aitkin’s subsequent work with Longford (1987) initiated a series of developments that by the early 1990s had resulted in a core set of established techniques, experience and software packages that could be applied routinely. These methods and further extensions of them are described in this book; they are now applied widely in areas.
such as education, epidemiology, geography, child growth and household surveys. In addition to the first, second and third editions of the present text (Goldstein, 1987b, Goldstein, 1995, Goldstein, 2003), several expository volumes have now appeared (see Section 1.15). The present text aims to integrate existing methodological developments within a consistent terminology and notation, provide examples and.
explain a number of new developments, especially in the areas of latent normal models, missing data, multiple membership structures, errors of measurement and survival data. In almost all cases, these developments are the subject of continuing research. The main text seeks to avoid undue statistical complexity, with derivations occurring in appendices. Examples and diagrams are used where possible to illustrate the application of the techniques and references are given to other works. The book is intended to be suitable for graduate level courses and as a general reference..