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5 - Multilevel Models

Published online by Cambridge University Press:  05 September 2012

Edward W. Frees
Affiliation:
University of Wisconsin, Madison
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Summary

Abstract. This chapter describes a conditional modeling framework that takes into account hierarchical and clustered data structures. The data and models, known as multilevel, are used extensively in educational science and related disciplines in the social and behavioral sciences. We show that a multilevel model can be viewed as a linear mixed-effects model, and hence the statistical inference techniques introduced in Chapter 3 are readily applicable. By considering multilevel data and models as a separate unit, we expand the breadth of applications that linear mixed-effects models enjoy.

Cross-Sectional Multilevel Models

Educational systems are often described by structures in which the units of observation at one level are grouped within units at a higher level of structure. To illustrate, suppose that we are interested in assessing student performance based on an achievement test. Students are grouped into classes, classes are grouped into schools, and schools are grouped into districts. At each level, there are variables that may affect responses from a student. For example, at the class level, education of the teacher may be important, at the school level, the school size may be important, and at the district level, funding may be important. Further, each level of grouping may be of scientific interest. Finally, there may be not only relationships among variables within each group but also across groups that should be considered.

Type
Chapter
Information
Longitudinal and Panel Data
Analysis and Applications in the Social Sciences
, pp. 166 - 198
Publisher: Cambridge University Press
Print publication year: 2004

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  • Multilevel Models
  • Edward W. Frees, University of Wisconsin, Madison
  • Book: Longitudinal and Panel Data
  • Online publication: 05 September 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511790928.006
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  • Multilevel Models
  • Edward W. Frees, University of Wisconsin, Madison
  • Book: Longitudinal and Panel Data
  • Online publication: 05 September 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511790928.006
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Multilevel Models
  • Edward W. Frees, University of Wisconsin, Madison
  • Book: Longitudinal and Panel Data
  • Online publication: 05 September 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511790928.006
Available formats
×