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Literature: The Multilevel Modeling
- Bressoux, Pascal, Coustère, Paul & Leroy-Audouin, Christine (1997): Les modèles multiniveau dans l'analyse écologique: le case de la recherche en éducation, in: Revue française de sociologie, 38, 67-96.
Some like it French: An introductory paper on multilevel analysis of educational achievement, with good data. No maths.
- Bryk, A. S. & Raudenbush, S. W. (1992): Hierarchical Linear Models. Applications and Data Analysis Methods. Newbury Park, CA: Sage.
Very good for those who wish to arrive at an advanced understanding.
- DiPrete, Thomas A. & Forristal, Jerry D. (1994): Multilevel Models: Methods and Substance, in: Annual Review of Sociology, 20, 331-357.
A good overview of the basic ideas and of applications, with most emphasis on random-coefficient models.
- Ditton, Hartmut (1998): Mehrebenenanalyse. Grundlagen und Anwendungen des Hierarchisch Linearen Modells. Weinheim und München: Juventa.
This book is specifically useful for those who want to analyze school data (and have to resort to books in German). However, readers of chapter 3 (dealing largely with centering) should consult chapter 5.2 in Kreft/de Leeuw 1998 and the paper by Kreft/de Leeuw/Aiken 1995.
- Engel, Uwe (1998): Einführung in die Mehrebenenanalyse. Opladen: Westdeutscher Verlag (WV Studium 182).
The wide coverage of this book has much to recommend it - for users who already have acquired an elementary understanding.
- Goldstein, Harvey (1995): Multilevel Statistical Models. London: Arnold.
A more advanced introduction by one of the " fathers" of multilevel modeling, now (2003) in its third ediation. An earlier version of the book can be downloaded here.
- Hox, Joop (1995): Multilevel Analysis. Techniques and Applications. Mahwah, NJ: Erlbaum.
This book is the expanded and updated version of an earlier book, Multilevel Analysis, Amsterdam: TT Publishers, 1995, which is downloadable for free (attention, this is a PDF file with a size of several MB).
- Hox, Joop J. & Kreft, Ita G. G. (1994): Multilevel Analysis Methods, in: Sociological Methods & Research, 22, 283-299.
This introduction to a special issue of SMR gives a brief overview of problems resulting from using traditional approaches for multilevel data, of the basic structure of the random coefficient model, of available software, and of current problems and possible future developments.
- Kreft, Ita G. G. (1991): Using Hierarchically Linear Models to Analyse Multilevel Data. In: ZUMA-Nachrichten, 29, 44-56.
A brief introduction that should be found in most German sociology libraries, but (naturally) cannot replace a textbook.
- Kreft, Ita & de Leeuw, Jan (1998): Introducing Multilevel Modeling, London: Sage.
This is certainly the most helpful textbook for those with a strong dislike of maths, formal derivations and the like. The reader is carefully guided through a number of examples. However, one should be aware that there are many advanced topics that are not dealt with in this book.
- Longford, N. (1993): Random coefficient models. Oxford: Oxford University Press.
In this book, statistical reasoning is paramount, but it is also applied to several datasets with helpful discussions of the results.
- Ohr, Dieter (1999): Modellierung von Kontexteffekten: Voraussetzungen, Verfahren und eine empirische Anwendung am Beispiel des politischen Informationsverhaltens, in: ZA- Information 44, 39-63.
A fine brief introduction, but I feel that it is somewhat infortunate that MM is introduced via an example where the gains from using a MM approach are almost nil (statistically speaking, i.e. the MM analysis barely differs from OLS regression results).
- Snijders, Tom & Bosker, Roel (1999): Multilevel Analysis. An introduction to basic and advanced multilevel modeling. London, Thousand Oaks: SAGE.
This is a very thorough introduction that requires quite some effort on part of the student - but it pays. Especially chapters 8 and 9 should be studied carefully, as I have found no comparable discussion of heteroscedascity and the basic assumptions (and how to check them) of multilevel modeling.
[此贴子已经被作者于2006-5-2 12:22:32编辑过]
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