1. Analysis of categorical RVs (week 1)
Multinomial distribution
Two-way table analysis
- Joint and marginal distributions
- Conditional distributions.
Chi-squared goodness-of-fit test
- Hypotheses
- Test statistic.
Chi-squared independence test
- Hypotheses
- Test statistic.
Relative risks
Odds and odds ratios
Working examples.
2. Simple logistic regression (week 2)
Binary response variable
Attempting to model probability of success using OLS
Modelling a transform of probability of success as a linear function
Link functions
- Probit
- Cloglog
- Loglog
- Logit.
Estimation of parameters
- Log-likelihood function
- Deviance.
Wald test
- Null hypothesis and upper, lower and two-tail alternative hypotheses
- Test statistic
- Test decision via p-values, rejection regions and confidence intervals.
Interpretation of parameters
Working examples.
3. Multiple logistic regression (week 2)
Estimation of parameters
- Log-likelihood function
- Deviance.
Omnibus test
- Null hypothesis and upper, lower and two-tail alternative hypotheses
- Test statistic
- Test decision via p-values, rejection regions and confidence intervals.
Partial omnibus test
- Null hypothesis and upper, lower and two-tail alternative hypotheses
- Test statistic
- Test decision via p-values, rejection regions and confidence intervals.
Interpretation of parameters
- Continuous predictors
- Categorical predictors.
Working examples.
4. Assessing model fit (week 2)
Pseudo-R statistics
Hosmer-Lemeshow test
- Hypotheses
- Test statistic
- Test decision via p-values, rejection regions and confidence intervals.
Pearson chi-squared statistic and deviance
Classification tables
ROC curve
Working examples.
Course delivery
This microcredential will be presented in online mode and will run over 4 weeks. Each week will consist of a 2-hour lecture and 1.5-hour PC lab. Theoretical material will be presented in the lecture and students will work on practical problems during the PC labs using the R programming language.
To ensure maximum flexibility for participants working full time, the lectures and PC labs will be pre-recorded in MP4 screencast format for study at a suitable time.
