STU12502 Introduction to Statistics

Module CodeSTU12502
Module NameIntroduction to Statistics
ECTS Weighting[1]5 ECTS
Semester taughtSemester 2
Module Coordinator/s  Athanasios G. Georgiadis

Module Learning Outcomes

On successful completion of this module, students will be able to:
LO1. Describe, analyze and present data via statistical machinery;
LO2. Estimate population parameters using maximum likelihood estimators;
LO3. Deal with the Central Limit Theorem;
LO4. Extract confidence intervals for population parameters;
LO5. Study hypothesis tests and decide about values of several population
parameters;
LO6. Deal with regression models and do statistical inference on their
parameters;
LO7. Build ANOVA tables and study relations between groups.

Module Content

To introduce Students to Statistics. The main notions of Statistics that are
fundamental for a Mathematician, will be studied.
• Descriptive Statistics;
• Statistical estimation;
• The Central Limit Theorem;
• Confidence intervals;
• Statistical inference: Hypothesis testing;
• Regression;
• ANOVA;
Basic Statistical notions as an outcome of Probability Theory, will be in the disposal of
Math Students.

Teaching and learning Methods

Two lectures and one tutorial per week.

Assessment Details

The final mark is the weighted average of the 1 assessment and the 3-hour, in person
examination mark


Assessment ComponentBrief DescriptionLearning Outcomes Addressed% of TotalWeek SetWeek Due
ExaminationIn person written examination- 3hours80%N/AN/A
AssessmentAssignment20%Week 6Week 7

Reassessment Details

In person written examination, 3 hours, 100%.

Recommended Reading List.


Full manuscripts and videos as well as corresponding exercises, will be provided by
the instructor to Students. Some auxiliary literature for the mainstream Statistics
follows:
Sheldon M. Ross-Introduction to Probability and Statistics for Engineers and
Scientists-Academic Press (2004).
Hayter A.J. – Probability and Statistics for Engineers and Scientists-Doxbury (2012).
Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying E. Ye – Probability and
Statistics for Engineers and Scientists (9th Edition) -Prentice Hall (2011).

Module Pre-requisites Prerequisite modules: STU12501.
Other/alternative non-module prerequisites: knowledge of elementary probability,
especially the normal distribution, expectation and variance.


Module Website: Available in Blackboard.