unitinfoThis page provides helpful information about many coursework units offered by Computer Science and Software Engineering in 2023.The information here is not official - for official information please see the current UWA Handbook. Instead, it will help students to prepare for their future units, before the beginning of each semester, and before they have access to UWA's Learning Management System (LMS). |
Unit coordinator:
Dr Nazim Khan
[email protected] Unit homepage: |
week 1 | Introduction. Aims and Motivation. Unit outline. Introduction to $R, R Markdown. R libraries, ggplot |
week 2 | Population Proportion. Revision of Linear Statistical model. Model equation and assumptions, model fitting in R, model diagnostics. Interpretation and reporting results. Verifying model assumptions. |
week 3 | Inference for population proportion. Inference for population proportion based on a single sample, distribution of sample proportion, confidence interval for single proportion. |
week 4 | Analysis of categorical or count data. Chi-squared test for homogeneity and independence. Fisher's exact test. Cochran-Mantel-Haenszel Test |
week 5 | The Generalised Linear Model (GLM). Binary logistic regression model. Model equation, fitting the model in R. Model selection---Wald test. Plotting predicted probabilities. Model interpretation. |
week 6 | Logistic regression model for binomial data. Logistic regression for binomial counts, probability model, model fitting in R, model selection. Model interpretation. |
week 7 | Poisson regression. The Poisson probability model, hypothesis test for Poisson mean. The Poisson regression model, interpretation of model coefficients. Model fitting in R, model selection, model interpretation, |
week 8 | Negative binomial regression. Dispersion parameter, over-dispersion. Negative binomial probability model. Fitting negative binomial regression in R, model interpretation. Prediction |
week 9 | Maximum Likelihood. Likelihood function. Joint distributions, independence. The likelihood function. Examples in discrete cases. Likelihood for binary data, binomial data. Evaluating the likelihood in R, |
week 10 | Maximum likelihood estimation: Analytic and numerical solutions. Maximum likelihood estimates, simple examples. Two-parameter model. Score function. Zero-truncated |
week 11 | Information and Sampling distribution of MLEs. Relative likelihood. Observed information, Expected or Fisher Information, asymptotic variance of the MLE. Sampling distribution of MLEs, properties of MLEs. |
week 12 | Likelihood based inference. Confidence intervals, hypothesis tests, Wald test for a single parameter. Likelihood ratio tests. Goodness of fit and model comparison. Deviance test, Akaike's Information Criterion |