MAST20005 - Statistics Notes

Description

This is a comprehensive compilation of information from MAST20005 lectures, the textbook, tutorials, practicals, workshops, problem booklets and other useful sources I found online to aid my study. Each section (particularly the harder concepts) is supported by easy to read and understand dot points, diagrams, pictures and thorough example exam-style questions. Includes all summarised formulae required to know for each topic. Topics included are: 1. Introduction to statistics and review of probability concepts. 2. Point estimation 3. Interval estimation (calculating confidence intervals) 4. Regression 5. Hypothesis testing (power, Type I and Type II errors, p-values) 6. Distribution free methods (Wilcoxon tests, goodness of fit tests) 7. ANOVA 8. Ordered statistics and quantiles (cdf's, pdf's) 9. Bayesian inference (Bayes' theorem, prior and posterior distributions) 10. Asymptotics and optimality (sufficiency, efficiency, derivation of MLE sampling distribution)