Categorical Data Analysis (8 ECTS)

Course Code: 
6108
Semester: 
8th
Elective Courses
Διδάσκων: 

Types of categorical data. Contingency tables, joint, marginal and conditional probabilities, independence, comparison of proportions in 2x2 contingency tables (difference of proportions, relative risk, odds ratio), types of observational studies (retrospective, cross-sectional, prospective), odds ratio and other measures of correlation in LxJ tables. χ2 test of independence, exact tests, partition of the statistical function χ2 , test of independence for ordinal data, tests of linear trend for 2xL tables. Correlated data pairs, comparison of correlated proportions, Mc Nemar test for comparison of marginal proportions, measures of raters’ agreement, odds ratio for agreement, kappa measure of agreement. Correlation in multidimensional contingency tables, conditional and marginal odds ratios, Simpson’s paradox, partial-conditional independence, homogeneity, collapsibility, Cochran-Mantel-Haenszel tests. Logistic regression, interpretation of model parameters, inference in logistic regression, the case of categorical predictive variables, multiple logistic regression, model selection, test of goodness of fit. Models of logistic regression for polytomous variables.

Recommended Reading

  • Agresti A., (2013). Categorical data analysis, Wiley
  • Agresti A., (2007). An Introduction to Categorical Data Analysis, Wiley.
  • Hosmer, D., Lemeshow, S. and Sturdivant, R. (2013) Applied Logistic Regression, Wiley
  • Kateri, M. (2014). Contingency Table Analysis, Springer.