# Data Analysis - programmaData Analysis - programma

CHIARA TOMMASI , responsabile dell'insegnamento

Corso di laurea in COMUNICAZIONE PUBBLICA E D'IMPRESA (COM) Immatricolati dall'a.a. 2015/2016 - Laurea Magistrale - CORPORATE COMMUNICATION - 2018/2019

Insegnamento obbligatorio No 1s primo trimestre SECS-S/01 - Statistica 9 -

## Informazioni generali

Obiettivi: Graduate students, researchers in the public and private sector, heads of departments and managers are increasingly dealing with surveys.
This course is intended as an introduction at master/graduate level for those who are new to survey. The aim of the course is to provide an overview of basic probability sampling and estimation methods.
After the course, participants are ready to apply the learned surveys and are able to critically assess existing surveys and survey documentation

Lingua dell'insegnamento: English

Metodi didattici: During lectures, Professor presents a problem and then describes how to solve it by using the more adequate sampling scheme and the corresponding estimator.
Professor explains writing everything on the white-board, usually she does not present slides.

## Programma di studio

### Pagina web di riferimento:

http://analisidati.ariel.ctu.unimi.it/v5/home/Default.aspx

Programma: Basic concepts in Probability and Statistics: definition of Bernoulli and Normal random variables; point estimation of a mean and a proportion; definition of unbiasedness; definition of variance and mean square error; interval estimation.

The central concept of probability sampling.

The simple random sampling procedure (estimating the mean, the population total and the proportion; variance and standard error of the estimates; confidence intervals and the choice of sample size).

Random sampling with replacement method (estimating the mean, the population total and the proportion; the variance of the estimates; the standard errors; confidence intervals and the choice of sample size).

Non equal probability selection methods (Horvitz-Thompson estimator and Hansen-Hurvitz estimator; variance and standard error of the estimates)

Stratified simple random sampling (estimating the mean, the population total and the proportion; variance and standard error of the estimates; confidence intervals ; optimum choice of stratum sample sizes).

Cluster sampling (estimating the mean, the population total and the proportion; the variance of the estimates; the standard errors; confidence intervals).

Systematic sampling (as a form of cluster sampling).

Programma per non frequentanti: Basic concepts in Probability and Statistics: definition of Bernoulli and Normal random variables; point estimation of a mean and a proportion; definition of unbiasedness; definition of variance and mean square error; interval estimation.

The central concept of probability sampling.

The simple random sampling procedure (estimating the mean, the population total and the proportion; variance and standard error of the estimates; confidence intervals and the choice of sample size).

Random sampling with replacement method (estimating the mean, the population total and the proportion; the variance of the estimates; the standard errors; confidence intervals and the choice of sample size).

Non equal probability selection methods (Horvitz-Thompson estimator and Hansen-Hurvitz estimator; variance and standard error of the estimates)

Stratified simple random sampling (estimating the mean, the population total and the proportion; variance and standard error of the estimates; confidence intervals ; optimum choice of stratum sample sizes).

Cluster sampling (estimating the mean, the population total and the proportion; the variance of the estimates; the standard errors; confidence intervals).

Systematic sampling (as a form of cluster sampling).

### Short course description

The objective of this course is to provide an introduction to sample survey.
The first 20 hours of the course are devoted to learn some basic concepts in Statistics, which are useful to understand the core of the course concerning the sample survey theory.
In the rest of the course, different probability sampling methods and the corresponding estimators are described in detail.

Bibliografia e altri materiali didattici: Introductory statistics; Sheldon M. Ross, Ed. Accademic Press: Chapters 1, 2, 3 (Seccions: 3.1, 3.2, 3.5, 3.6), 4 (except Seccion 4.6), 5 (Seccions: 5.1, 5.2, 5.3, 5.4), 6.

Lecture notes available on the web site of the course ( or Sample survey: principles and methods; Vic Barnett, Ed. Arnod (London), 2002: Chapters 1, 2, 4, 5).

Bibliografia e altri materiali didattici per non frequentanti: Introductory statistics; Sheldon M. Ross, Ed. Accademic Press: Chapters 1, 2, 3 (Seccions: 3.1, 3.2, 3.5, 3.6), 4 (except Seccion 4.6), 5 (Seccions: 5.1, 5.2, 5.3, 5.4), 6.

Lecture notes available on the web site of the course ( or Sample survey: principles and methods; Vic Barnett, Ed. Arnod (London), 2002: Chapters 1, 2, 4, 5).

## Modalità di esame, prerequisiti, esami propedeutici

Esame in un'unica volta o suddiviso in parti unico Esame voto verbalizzato in trentesimi

Prerequisiti e modalità di esame No previous knowledge about statistics is necessary to follow this course. The first part of the course is devoted to cope the concepts in statistics which are useful to understand the rest of the course, concerning the probability sampling methods.

The exam is written and lasts 1 hour and half. It consists in 3 exercices and 5 multiple choice questions. During the exam students can use books and notes of any kind, because Professor's aim is to test if a student knows when a specific sampling method has to be used. Formulas to be applied can be copied.

Some lecture notes written by the Professor are available on the web site of the course (ARIEL). A reference book is also suggested but it is a bit difficult for students without any background in statistics (the comprehension of this book is not necessary for passing the exam; the lecture notes are enough).

Prerequisiti e modalità di esame per non frequentanti No previous knowledge about statistics is necessary to follow this course. The first part of the course is devoted to cope the concepts in statistics which are useful to understand the rest of the course, concerning the probability sampling methods.

The exam is written and lasts 1 hour and half. It consists in 3 exercices and 5 multiple choice questions. During the exam students can use books and notes of any kind, because Professor's aim is to test if a student knows when a specific sampling method has to be used. Formulas to be applied can be copied.

Some lecture notes written by the Professor are available on the web site of the course (ARIEL). A reference book is also suggested but it is a bit difficult for students without any background in statistics (the comprehension of this book is not necessary for passing the exam; the lecture notes are enough).

Attività propedeutiche consigliate No previous knowledge about statistics is necessary. The first part of the course is devoted to cope the concepts of probability and statistics which are necessary to understand the rest of the course.

## Organizzazione della didattica

Settori e relativi crediti

• Settore: SECS-S/01 - Statistica - Crediti: 9
Attività didattiche previste

Lezioni: 60 ore

## Ricevimento Docenti

Orario di ricevimento Docenti
DocenteOrario di ricevimentoLuogo di ricevimento
CHIARA TOMMASI , responsabile dell'insegnamentoVenerdì 1 giugno il ricevimento è sospeso per motivi di famiglia, viene recuperato il 5 giugno dalle 9:00 alle 12:00. Solitamente il ricevimento si tiene di venerdì dalle 9:00 alle 12:00 (controllare sempre la bacheca di ARIEL per eventuali cambiamenti).Via Conservatorio 7, III piano, ufficio n.35
ELENA MIGLIORINI

## Avvertenze e altre informazioni

The first part of the course is devoted to cope the concepts in probability and statistics which are useful to understand the rest of the course. For this part the following book is suggested:
Introductory statistics; Sheldon M. Ross, Ed. Accademic Press: Chapters 1, 2, 3 (Seccions: 3.1, 3.2, 3.5, 3.6), 4 (except Seccion 4.6), 5 (Seccions: 5.1, 5.2, 5.3, 5.4), 6.

For the core of the course, concerning the probability sampling methods, some lecture notes written by the Professor are available on the web site of the course; this material is enough in order to understand the subject and to pass the exam.

Only for students with a background in statistics, if they are interested in studying this topic more in depth, a reference book is:
Sample survey: principles and methods; Vic Barnett, Ed. Arnod (London), 2002: Chapters 1, 2, 4, 5.