Course: 2022/2023

Statistics

(15073)

By the end of this course, students will be able to have:
1. knowledge and understanding of the statistic principles underlying their branch of engineering;
2. the ability to apply their knowledge and understanding to identify, formulate and solve statistic problems using established methods;
3. the ability to apply their knowledge and understanding to analyse engineering products, processes and methods;
4. an understanding of statistics methodologies, and an ability to use them.
5. the ability to select and use appropriate statistic tools and methods;
6. the ability to combine theory and practice to solve engineering problems;
7. an understanding of applicable statistic techniques and methods, and of their limitations;

Skills and learning outcomes

Description of contents: programme

BLOCK 0: DESCRIPTIVE STATISTICS
0. Descriptive Statistics
BLOCK I: PROBABILITY
1. Introduction to Probability
1.1 Introduction
1.2 Random phenomena
1.3 Definition of probability and properties
1.4 Assessment of probabilities in practice
1.5 Conditional probability
1.6 Bayes Theorem
2. Random variables
2.1 Definition of random variable
2.2 Discrete random variables
2.3 Continuous random variables
2.4 Characteristic features of a random variable
2.5 Independence of random variables
BLOCK II: PARAMETRIC MODELS AND INFERENCE
3. Distribution models
3.1 Binomial distribution
3.2 Geometric distribution
3.3 Poisson distribution
3.4 Uniform distribution (continuous)
3.5 Exponential distribution
3.6 Normal distribution (with CLT)
4. Statistical Inference
4.1 Introduction
4.2 Estimators and their distributions
4.3 Confidence Intervals
4.4 Hypothesis testing
4.5 Particualr tests on a single sample
4.6 Comparison of two populations
BLOCK III: APPLICATIONS
5. Quality control
5.1 Introduction, control charts
5.2 Variables control charts, the X-bar chart
5.3 Attributes control charts, the p and np charts
6. Linear regression
6.1 Introduction
6.2 Simple linear regression
6.3 Multiple linear regression

Learning activities and methodology

- Lectures: introducing the theoretical concepts and developments with examples, 2.2 ECTS
- Problem solving sessions: 2.2 ECTS
- Computer (practical) sessions: 0.6 ECTS -- 4 SESSIONS
- Evaluation sessions (continuous evaluation and final exam): 1 ECTS

Assessment System

- % end-of-term-examination 40
- % of continuous assessment (assigments, laboratory, practicals...) 60

Basic Bibliography

- MONTGOMERY, D.C., RUNGER, G.C. . Applied Statistics and Probability for Engineers. John Wiley & Sons. 2003
- Navidi, W. . Statistics for Engineers and Scientists. McGraw-Hill. 2006
- SONG, TT. Fundamentals of Probability and Statistics for Engineers. John Wiley & Sons. 2004

Additional Bibliography

- GUTTMAN, L., WILKS, S.S., HUNTER, J.S. . Introductory Engineering Statistics. Wiley. 1992

Detailed subject contents or complementary information about assessment system of B.T.

The course syllabus may change due academic events or other reasons.