Coronavirus (Covid-19): Latest updates and information
Skip to main content Skip to navigation

MA930 - Module Resources

Syllabus 2016-17

Probability

  • Probability spaces, random variables, independence
  • Probability distributions for statistical modelling
  • Characteristic functions, the law of large numbers and the central limit theorem

Statistics

  • Sufficient statistics and the factorization theorem
  • Maximum likelihood estimators
  • Interval estimation
  • Hypothesis testing and p-values
  • The Neman-Pearson Lemma
  • Bayesian Statistics
  • Regression

Data Analysis

  • Introduction to R
  • Preprocessing
  • Exploratory data analysis: summary statistics, histograms, scatterplots, correlations, common data transformations

Books

Software

  • http://www.rstudio.com/
  • http://www.r-project.org/


Course details for 2015/16

Sessions

Monday 5/10: Introduction, probability Ch1.pdf Lab1.pdf

Thursday 8/10: Expectation Ch2.pdf Ch2 distributions.Rmd Lab2.pdf

Monday 12/10: Random samples Ch3.pdf Lab3.pdf

Thursday 15/10: Means and medians ch4.pdf lab4.pdf

Monday 19/10: Maximum likelihood ch5 lab5.pdf

#Data for Lab question 5. 
data=c(2.0582697,5.3987926,3.7980060,0.5723188,-0.8537236,5.2077133,1.7208107,1.2269579,-0.8410253,-0.4433062,-0.1174654,0.6887862,
4.7057282,-1.0619563,2.1769875,4.3302787,6.1962575,0.6178603,1.9534011,5.5710332,0.1928814,4.5072816,-0.2718686,3.2802962,
0.6318410,5.7242686,1.5233587,0.1942172,1.4516769,0.4185925,5.9795991,6.2865825,1.3173983,6.9508923,2.3739107,4.6371979,
0.7390665,-1.2841400,7.3626970,5.3745078,2.2985148,2.6716183,4.9858429,1.8885585,5.2478598,1.2618415,-0.3364170,6.2956129,
0.3255105,1.9101088)

Thursday 22/10 Hypothesis testing ch6.pdf lab6.pdf

Monday 26/10 ch7.pdf lab7.pdf

Thursday 29/10 ch8.pdf lab8.pdf

Past exams

2014/15 class test

Key dates

Assignment 1 due 20/10/2015.
Assignment 2 due 2/11/2015.
90 minute class test 2/11/2015 2pm.
Vivas 5/11/2015 (all day).


http://www.rstudio.com/

http://www.r-project.org/