electiveHQ

This module introduces the basic concepts of probability and statistical modelling. Strong emphasis is placed on using the material covered in problem-solving scenarios. The main sections of the course are:- Descriptive Statistics; numerical and graphical methods- Laws of Probability - Random variables; both discrete and continuous, properties of expectation and variance are also covered- Statistical inference; sampling distributions, the central limit theorem, confidence intervals and hypothesis testing- Simple linear regression; correlation, least squares estimation, hypothesis testing, model diagnostics and prediction- Statistical methods for quality controlIn addition students are required to complete a sequence of computer laboratory sessions using the R software package. Students will learn how to perform exploratory data analyses using graphical and numerical descriptive statistics, how to calculate probabilities and simulate from common probability distributions, how to calculate confidence intervals and perform hypothesis tests and finally to fit linear regression models.