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Advanced Topics in Regression

Unit Code: HMS793




Duration

Contact Hours

Campus

Prerequisite

Corequisite

One semester / teaching period

3 Hours per Week

Hawthorn, Online

HMS780 Multivariate Statistics Multivariate Statistics

Nil

Credit Points: 12.5 Credit Points


Related Course/s:

A unit of study in the Master of Science (Applied Statistics).

Aims & Objectives:

Aims
To provide an introduction to more advanced modeling techniques, including nonlinear regression, ordinal and multinomial regression, logistic regression, multi-level regression analysis and survival analysis.  
 
Learning Objectives:
After completing this unit of study you will be able to
·         To identify some advanced regression techniques commonly used in social and health research and to understand the assumptions underlying their use.
·         To apply these techniques to relevant situations using statistical packages (in particular SPSS) and to interpret the results of the analyses.
 ·         To develop the capacity to carry out and report independent statistical analyses, together with an awareness of the limitations involved in generalizing the results of such investigations

Teaching Methods:

Classes are held in a computer laboratory and practical exercises are integrated with class teaching throughout the sessions.

Assessment:

Online Quizzes (10%), Assignments (40%), Exam (50%).

Content:

Topics will be chosen from regression methods; log-linear models for investigating relationships in categorical data, non-linear regression to handle data which does not satisfy the assumptions required in linear models, an introduction to multi-level modeling, logistic regression for binary, nominal and ordinal data and survival analysis.

Textbooks:

HMS793: Advanced Topics in regression. D. Meyer (Available from the Swinburne Bookshop)
 
Software:
IBM SPSS Statistics and HLM Student Version (free)

References:

Agresti, A (1990),Categorical Data Analysis, Wiley.
Agresti, A (1996), An Introduction to Categorical Data Analysis, Wiley.
Aiken, LS & West, SG (1991), Multiple Regression: testing and Interpreting Interactions, Sage.
Dobson, AJ (1999), An Introduction to Generalized Linear Models, Second Edition.
Dobson, A (1983), An Introduction to Statistical Modelling, Chapman and Hall, London.
Fienberg, SE (1980), The Analysis of Cross-Classified Categorical Data, 2nd edn, MIT Press.
Draper, NR & Smith, H (1998) Applied Regression Analysis, Wiley Series in Probability and Statistics, New York.
Hosmer, D & Lemeshow, S (2000), Applied Logistic Regression (2nd Edition).
Lattin, JM, Carroll, JD & Green PE (2001), Analyzing Multivariate Data, Duxbury.
Montgomery, DC, Peck, EA,  & Vining, GG (2001), Introduction to Linear Regression Analysis, 3rd edn.

Multi-level modelling.
Snijders, TAB, Bosker, RJ (2003),  Multilevel Analysis : An Introduction to Basic and Advanced Multilevel Modeling.
Leyland, AH, Goldstein, H (2001), Multilevel Modelling of Health Statistics, Wiley.
Bryk, AS, Raudenbush, SW (1992), Hierarchical Linear Models : Applications and Data Analysis Methods.