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Categorical Data: Models and Methods (MAST90099)

Graduate courseworkPoints: 12.5On Campus (Parkville)

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Overview

Year of offer2019
Subject levelGraduate coursework
Subject codeMAST90099
Campus
Parkville
Availability
Semester 2
FeesSubject EFTSL, Level, Discipline & Census Date

Introduction to and revision of conventional methods for contingency tables especially in epidemiology:

  • Odds ratios and relative risks;
  • Chi-squared tests for independence;
  • Mantel Haenszel methods for stratified tables;
  • Methods for paired data.

The exponential family of distributions;

  • Generalized Linear Models (GLMs);
  • Parameter estimation for GLMs;
  • Inference for GLMs, including the use of score, Wald and deviance statistics (including residuals) for confidence intervals and hypothesis tests.

Binary variables and logistic regression models:

  • Methods for assessing model adequacy;
  • Nominal and ordinal logistic regression for categorical response variables with more than two categories;

Count data and Poisson regression models:

  • Log-linear models.

Software:

  • Fitting GLMs in Stata and R.

Intended learning outcomes

  • Understand the mathematical theory behind generalised linear models (GLMs) to analyse categorical data with proper attention to the underlying assumptions.
  • Appreciate that most conventional methods of analysis of contingency table data are special cases of GLMs.
  • Operate the Stata and R statistical packages to fit GLMs to data, extract, summarise, present and report the results.
  • Emphasise the importance of the practical interpretation and communication of results to colleagues and clients who are not statisticians.

Generic skills

  • Independent problem solving,
  • Facility with abstract reasoning,
  • Clarity of written expression,
  • Sound communication of technical concepts

Last updated: 15 August 2019