# 00914 - Statistics

## Learning outcomes

At the end of the course the students know fundamental concepts of statistics useful for the analysis of simple datasets. In particular, students - are able to apply descriptive tools for data analysis; - are aware of the basic concepts of probability; - know the fundamental of statistical inference, hence can compute relevant summaries from the data and quantify the associated uncertainty. Pre-knowledge of mathematics is required.

## Course contents

PART I

Types of variables. Statistical units, population and sample. Data collection and organization. Data matrices and frequency distributions. Graphical representations. Mean values: mode, median, quartiles, arithmetic mean. Statistical indices. Main variability measures and concentration. Introduction to bivariate analysis. The relationship among two variables: association. The relationship among two variables: covariance and linear correlation. The simple linear regression.

PART II

PROBABILITY: random events and sample space. Axioms of probability. Conditional probability. Density and probability fuctions of a random variable; expectaed value and variance of a random variable. Bernoulli and Binomial distributions. Normal and Normal Standard distribution. Central limit theorem.

STATISTICAL INFERENCE: sample variability of an estimator; the sample mean estimator and its properties, point estimation and confidence intervals; statistical tests; basics on inference in regression models.

S. Borra, A. Di Ciaccio. Statistica – metodologie per le scienze economiche e sociali, terza edizione, McGraw-Hill, Milano, 2014.

## Teaching methods

Frontal lectures based mostly on slides. Lectures will be on methods and practicals (tutorials sessions with excersises on blackboard).

## Assessment methods

Written examination consisting in exercises, multiple-choice items and open-ended items. During written examinations, students have the possibility to bring a self-written formulary.

The examination rules apply for both students attending and not attending classes.

## Teaching tools

Lessons, exercises.

## Office hours

See the website of Fedele Pasquale Greco

See the website of Mariagiulia Matteucci