Module Overview

Probability and Statistical Inference

The module aims to introduce the student to probability theory and basic methods of statistical inference, why they are needed and how they are used in constructing a data analysis. The aim will be achieved through a mixture of theory and practice.

Module Code

MATH 9102

ECTS Credits

5

*Curricular information is subject to change
  • Fundamentals of using statistics in data analysis
    • Populations and samples; Representativeness; Sample Size; Central Limit Theorem and its role in data analysis; Sources of bias and dealing with bias
    • Different data types; Data distributions and how to recognise and describe them Measures of centrality and variance; Role of normality
    • Goodness of fit; Fitting a model; Validity and Reliability
    • Measuring effect size; Type I and Type II errors; Statistical significance and statistical power
    • Probability: basic concepts and definitions;  interpreting probability; different distributions; confidence intervals
  • Conducting Basic Statistical Tests
    • Hypothesis Testing; Identifying correct tests to use in a range of analyses
    • Understanding and interpreting test statistics
    • Tests for correlation, comparing means, analysis of variance; Parametric and non-parametric
  • Regression
    • Building and interpreting a regression model using Simple Linear, Multiple Linear and Logistic Regression
    • Assessing the fit of a regression model
  • Data Reduction
    • Exploratory and Confirmatory Factor Analysis
    • Principal Component Analysis
  • Reporting Analysis
  • Structuring a report on data analysis; Descriptive statistics required for different data types and tests; Graphical representations required for different data and tests

The module is designed to be delivered within a blended learning model, employing mixed modes (online and face to face) of learning, teaching and assessment. 

TU059 will be delivered primarily in a face-to-face mode while TU256 and TU060 will be delivered in a blended mode.

Lectures, tutorials and computer laboratory sessions

Module Content & Assessment
Assessment Breakdown %
Other Assessment(s)100