Statistica - ENG

STATISTICS

Course A – Prof. Aldo Goia
Course B – Prof. Enea Bongiorno

Course Code: EA007
Subject code: SECS-S/01
8 ECTS – 64 hours
Location: Novara


Educational aims

The goal of the course is to introduce some basic techniques of univariate and bivariate data analysis and some elements of inferential statistics.


Content of the course

Part I – Univariate descriptive statistics
The population and the variables.Frequency distributions and graphics.
Analysis of quantitative variables: the cumulative distribution functions and the quantiles. Measures of the central tendency and variability. Measures of shape.
Analysis of qualitative variables: the heterogeneity.

Part II – Bivariate descriptive statistics
The joint distributions and the conditional distributions.
The study of the dependence. The Chi square index. The correlation and the decomposition of variance. The linear correlation and the covariance.
The linear regression. The OLS method. Goodness of fit.

Part III – Elements of Probability and Inference
The random experiments and the probability space. Probability measure on finite sample spaces. Conditional probability and independence.
The random variables. Moments. Some useful probability distributions. Linear combination of random variables.
The populations and the samples.
Asymptotic statistics: consistency, the Central Limit Theorem and the plug-in principle. The point estimation and the asymptotic confidence intervals for mean, proportion, variance and regression coefficient. Introducing hypothesis testing.


Prerequisites

Basic elements of mathematics and calculus.


Course Texts

Lecture notes and exercises are available in the web page of the course at the URL:

https://eco.dir.unipmn.it/


Teaching methods

Lectures and exercises. Some on-line supports are available on the web page of the course.


Examination

A compulsory written proof and an optional oral test.