Introduction to Multi-level Models

Published

Last modified: 2026-04-14: 19:59:04 (UTC)

1 Introduction to multi-level models for correlated data

For more, see:

David Rocke’s materials from the 2021 edition of this course
- May 25 - June 1 lectures
Other UC Davis courses:
- EVE 225: “Linear Mixed Modeling in Ecology & Evolution”
  - usually taught every other winter or spring by Kate Laskowski
  - materials, including syllabus and lecture videos: https://laskowskilab.faculty.ucdavis.edu/teaching-2/
- STA/BST 224: “Analysis of Longitudinal Data”
  - usually taught every spring by Shuai Chen
  - should be accessible after completing Epi 204
- EPI 226 “Methods for Longitudinal & Repeated Measurement Data”
  - usually taught by Heejung Bang
- PSC 205D “Multilevel Models”
- PSC 205G “Applied Longitudinal Data Analysis”
- STA 101 “Advanced Applied Statistics for the Biological Sciences”
- STA 207 “Statistical Methods for Research II”
- STA 232B “Applied Statistics II”
  - usually taught every winter by Jiming Jiang
- PLS 207: “Applied Statistical Modeling for the Environmental Sciences”
- EDU 236: “Application of Hierarchical Linear Models in Education Research”
- HDE 205: “Longitudinal Data Analysis”
Books:
- Dobson and Barnett (2018) Chapter 11
- Vittinghoff et al. (2012) Chapter 7
- Gelman and Hill (2007)
- Jiang and Nguyen (2021)
  - by UC Davis Statistics Professor and GGE faculty member Jiming Jiang
- Faraway (2016)
- McCulloch et al. (2008)
- Hedeker and Gibbons (2006)
- Wakefield (2013)
- Zuur (2009)
- Diggle et al. (2013)
- Fitzmaurice et al. (2012)
- Fitzmaurice et al. (2009)
- Gałecki and Burzykowski (2013)
- Congdon (2020)
- Molenberghs and Verbeke (2005)
- Verbeke and Molenberghs (2000)
- Jewell and Hubbard (2016)
  - by UC Berkeley professors

References

Congdon, Peter D. 2020. Bayesian Hierarchical Models: With Applications Using R, Second Edition. 2nd edition. CRC Press.

Diggle, Peter, Scott Zeger, Patrick Heagerty, and Kung-Yee Liang. 2013. Analysis of Longitudinal Data. Second edition. Vol. 25. Oxford Statistical Science Series. Oxford University Press.

Dobson, Annette J, and Adrian G Barnett. 2018. An Introduction to Generalized Linear Models. 4th ed. CRC press. https://doi.org/10.1201/9781315182780.

Faraway, Julian J. 2016. Extending the Linear Model with r: Generalized Linear, Mixed Effects and Nonparametric Regression Models. 2nd ed. Chapman; Hall/CRC. https://doi.org/10.1201/9781315382722.

Fitzmaurice, Garrett M, Marie Davidian, Geert Verbeke, and Geert Molenberghs. 2009. Longitudinal Data Analysis. Chapman & Hall/CRC Handbooks of Modern Statistical Methods. CRC Press. https://doi.org/10.1201/9781420011579.

Fitzmaurice, Garrett M, Nan M Laird, and James H Ware. 2012. Applied Longitudinal Analysis. 2nd ed. Vol. 998. Wiley Series in Probability and Statistics. Wiley. https://doi.org/10.1002/9781119513469.

Gałecki, Andrzej T., and Tomasz. Burzykowski. 2013. Linear Mixed-Effects Models Using R : A Step-by-Step Approach. Springer Texts in Statistics. Springer. https://doi.org/10.1007/978-1-4614-3900-4.

Gelman, Andrew, and Jennifer Hill. 2007. Data Analysis Using Regression and Multilevel/Hierarchical Models. Analytical Methods for Social Research. Cambridge University Press.

Hedeker, Donald R., and Robert D. Gibbons. 2006. Longitudinal Data Analysis. Wiley Series in Probability and Statistics. Wiley-Interscience.

Jewell, Nicholas P, and Alan E Hubbard. 2016. Analysis of Longitudinal Studies in Epidemiology. Chapman & Hall/CRC Texts in Statistical Science. Taylor & Francis. https://books.google.com/books?id=-LoLPQAACAAJ.

Jiang, Jiming, and Thuan Nguyen. 2021. Linear and Generalized Linear Mixed Models and Their Applications. Second edition. Springer Series in Statistics. Springer. https://doi.org/10.1007/978-1-0716-1282-8.

McCulloch, Charles E, Searle Shayle R, and John M Neuhaus. 2008. Generalized, Linear, and Mixed Models. 2nd ed. Vol. 651. John Wiley & Sons.

Molenberghs, Geert., and Geert. Verbeke. 2005. Models for Discrete Longitudinal Data. Springer Series in Statistics. Springer Science+Business Media, Inc. https://doi.org/10.1007/0-387-28980-1.

Verbeke, Geert, and Geert Molenberghs. 2000. Linear Mixed Models for Longitudinal Data. 1st ed. Springer Series in Statistics. SpringerLink (Online service); Springer. https://doi.org/10.1007/978-1-4419-0300-6.

Vittinghoff, Eric, David V Glidden, Stephen C Shiboski, and Charles E McCulloch. 2012. Regression Methods in Biostatistics: Linear, Logistic, Survival, and Repeated Measures Models. 2nd ed. Springer. https://doi.org/10.1007/978-1-4614-1353-0.

Wakefield, Jon. 2013. Bayesian and Frequentist Regression Methods. 1st ed. 2013. Springer Series in Statistics. Springer New York.

Zuur, Alain F. 2009. Mixed Effects Models and Extensions in Ecology with r. Statistics for Biology and Health. Springer.