Hierarchical and Covariance Models for Public Health Data

Center for Disease Control and Prevention (CDC) - Atlanta, GA

Sep 15th - Sep 16th, 2010

Prof. Sudipto Banerjee

University of Minnesota

http://www.biostat.umn.edu/~sudiptob


This course provides a two-day introduction to Bayesian hierarchical models for statisticians who need to examine correlated data. The course will cover models dealing with three types of data: univariate, multivariate, and spatial. The course will also discuss the use of survey sampling and generalized linear models in the context of hierarchical modeling and spatial data analysis. Examples using public health and environmental data will be illustrated using R and WinBUGS.

The following are useful text books for Bayesian statistics, modeling and hierarchical models:

  • Banerjee, S., Carlin, B.P. and Gelfand, A.E. (2004). Hierarchical Modeling and Analysis for Spatial Data. Publisher: CRC/Chapman and Hall.
  • Waller, L. and Gotway, C. (2004). Applied Spatial Statistics for Public Health Data. Publishers: John Wiley and Sons.
  • Carlin, B.P. and Louis, T.A. (2008). Bayesian Methods for Data Analysis. Third Edition. Publisher: CRC/Chapman and Hall.
  • Gelman, A., Carlin, J.B., Stern, H.S. and Rubin, D.B. (2004). Bayesian Data Analysis. Second Edition. Publisher: CRC/Chapman and Hall.
  • Dalgaard, P. (2002). Introductory Statistics with R.
  • Faraway, J.J. (2005). Linear Models with R. Publisher: CRC/Chapman and Hall.
  • Lee, P.M. (2004). Bayesian Statistics Publisher: Hodder Arnold

    The web sites for softwares:

  • WinBUGS or OpenBUGS
  • You can download the new registration key for WinBUGS from HERE. NOTE THAT YOU DO NOT REQUIRE ANY REGISTRATION KEY FOR OPENBUGS.
  • R.

    Course Notes

    September 15th, Wednesday

    8:30am - 9:30am: Principles of Bayesian Statistics (handout)

    9:30am - 10:10am: Bayesian hierarchical linear regression models (handout)

    10:10am - 10:20am: BREAK

    10:20am - 11:00am: Bayesian linear regression examples with R

    11:00am - 12:00pm: Introducing WinBUGS with the linear regression model

    12:00pm - 1:00pm: LUNCH

    1:00pm - 2:00pm: Bayesian model comparisons (handout)

    2:00pm - 2:45pm: Hierarchical longitudinal modeling (handout)

    2:45pm - 3:00pm: BREAK

    3:00pm - 3:30pm: Bayesian GLM example: Logistic regression with random effects (handout)

    3:30pm - 4:00pm: Bayesian survival analysis in WinBUGS (handout) and Another example with frailties (correlated survival data) (handout)

    4:00pm - 4:30pm: Repeated measurements example with multivariate priors in WinBUGS (handout)


    September 16th, Thursday

    8:30am - 9:15am: Bayesian finite population survey sampling (handout)

    9:15am - 10:10am: Introduction to spatial data (handout)

    10:10am - 10:20am: BREAK

    10:20pm - 12:00pm: Elements of areal modeling (handout)

    12:00pm - 1:00pm: LUNCH

    1:00pm - 2:45pm: Elements of point-referenced modeling (including kriging) (handout)

    2:45pm - 3:00pm: BREAK

    3:00pm - 4:30pm: Hierarchical modeling for univariate point-referenced data (handout) AND Bayesian kriging in WinBUGS. (handout).