## Details

Instructor: Emanuele Taufer

Class hours: 18

## Contents of the Course

- General introduction to the statistical method.

- Preliminary definitions and glossary.

- Type of statistical characters and their properties.

- Tables and frequency distributions.

- Graphical representations.

- Measures of centrality and dispersion.

- Contingency tables, independence and measures of association.

- Correlation and linear regression.

- Probability: definitions, basic concepts and theorems.

- Conditional probability. Independence.

- Random variables (discrete and continuous), probability and distribution functions and expected values. Linear combinations of random variables.

- Sampling and sampling distributions.

- Pointwise estimation and interval estimation for the mean, for the variance and for the proportion of a population.

- Hypothesis testing for the mean, for the variance and for the proportion of a population.

## Learning outcomes

At the end of the course the students will be able to:

- address and propose solutions to simple problems of economic nature on the basis of the information contained in the available data and duly summarized through appropriate statistical analysis techniques;
- be able to analyze a data set with the software R.

## Pre-requirements

The course holds almost everywhere an introductory level and requires only the knowledge of a basic course in Mathematics.

## Teaching methods

The course consists of lectures in lab mode with discussion of techniques of analysis, examples of practical analysis and contextual applications on real data.

## Final assessment

The final exam consists in solving theoretical and applied exercises supported by the use of the softare R.

## Bibliography

Schmuller, J. (2017). Statistical Analysis with R For Dummies. John Wiley & Sons, Inc., Hoboken, NJ 07030-5774. ISBN: 978-1-119-33706-5.

Dalgaard, P. (2008). Introductory Statistics with R (II ed.). Springer Science+Business Media, LLC, New York, NY 10013. ISBN: 978-0-387-79053-4