## Studying at the University of Verona

Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.

## Academic calendar

The academic calendar shows the deadlines and scheduled events that are relevant to students, teaching and technical-administrative staff of the University. Public holidays and University closures are also indicated. The academic year normally begins on 1 October each year and ends on 30 September of the following year.

## Course calendar

The Academic Calendar sets out the degree programme lecture and exam timetables, as well as the relevant university closure dates..

Period | From | To |
---|---|---|

primo semestre | Sep 23, 2013 | Jan 10, 2014 |

secondo semestre | Feb 17, 2014 | May 30, 2014 |

Session | From | To |
---|---|---|

Sessione Prove Parziali - Primo Semestre | Nov 11, 2013 | Nov 15, 2013 |

Sessione Invernale Esami | Jan 13, 2014 | Feb 15, 2014 |

Sessione Prove Parziali - Secondo semestre | Apr 14, 2014 | Apr 18, 2014 |

Sessione Estiva esami | Jun 3, 2014 | Jul 12, 2014 |

Sessione Autunnale Esami | Aug 25, 2014 | Sep 10, 2014 |

Session | From | To |
---|---|---|

Sessione di Lauree - Novembre | Nov 7, 2013 | Nov 8, 2013 |

Sessione di Lauree - Aprile - Vicenza | Apr 11, 2014 | Apr 11, 2014 |

Sessione di Lauree - Settembre | Sep 11, 2014 | Sep 12, 2014 |

Period | From | To |
---|---|---|

Vacanze Natalizie | Dec 23, 2013 | Jan 4, 2014 |

Vacanze Estive | Aug 11, 2014 | Aug 23, 2014 |

## Exam calendar

Exam dates and rounds are managed by the relevant Economics Teaching and Student Services Unit.

To view all the exam sessions available, please use the Exam dashboard on ESSE3.

If you forgot your login details or have problems logging in, please contact the relevant IT HelpDesk, or check the login details recovery web page.

## Academic staff

## Study Plan

The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University. Please select your Study Plan based on your enrolment year.

Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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1° Year

Modules | Credits | TAF | SSD |
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2° Year

Modules | Credits | TAF | SSD |
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3° Year

Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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#### Legend | Type of training activity (TTA)

TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.

### Statistics (2014/2015)

Teaching code

4S00121

Credits

9

Also offered in courses

Language

Italian

Scientific Disciplinary Sector (SSD)

SECS-S/01 - STATISTICS

The teaching is organized as follows:

##### lezione

##### esercitazione

## Learning outcomes

The course is intended to provide an introduction to Descriptive Statistics, Probability, and Inferential Statistics. The course is for students in Economics and Business Administration. Prerequisite to the course is the mastering of a few basic mathematical concepts such as limit, derivative, and integration at the level of an undergraduate first year introductory course in calculus. The statistical techniques that will be illustrated in the course are intended to provide instruments useful for description and interpretation of collective data. From a practical point of view, methods are necessary for interpreting official statistics and for performing statistical studies of economical and social phenomena. The course is also intended to provide instruments for a critical analysis of the methodology.

## Program

a) Descriptive Statistics

Introduction; data collection; population, sample, statistical unit; survey; questionnaire; data classification; data types; statistical sources.

Statistical data; matrix data; types of frequency distributions; graphical representations.

Cumulative frequency; cumulative distribution function.

Measures of central tendency; arithmetic mean, geometric mean and harmonic mean; properties of the arithmetic mean; quadratic and cubic mean; mood; median; quartiles and percentiles.

Variability and measures of dispersion; variance and standard deviation; coefficient of variation.

Moments; indices of skewness and kurtosis.

Fixed and varying base indices; Laspayres and Paasche indices.

Double and multivariate distributions; frequency tables; covariance; variance of the sum of two or more than two variables; conditional distributions; conditional mean and variance; scatterplots; covariance; variance of the sum of two or more than two variables; chi-squared index of dependence; index of association C.

Least squares metod; scatterplot; least-squares regression line; Pearson’s coefficient of linear correlation r; Cauchy-Schwarz inequality; R-square coefficient; regression and residual deviance.

b) Probability

Deterministic and probabilistic models; events, probability spaces and event trees.

Combinatorics.

Definition and probability; probability function; theorems; conditional probability; independence; Bayes' theorem.

Discrete and continuous random variables; distribution function; expectation and variance; Markov and Tchebycheff inequalities; discrete uniform distribution; Bernoulli distribution; binomial distribution; Poisson distribution; continuous uniform distribution; normal distribution; multivariate discrete random variables; joint probability distribution; marginal and conditional probability distributions; independence; expectation and covariance; correlation coefficient; conditional expectation and variance.

Linear combinations of random variables; average of random variables; sum of independent normals.

Weak law of large numbers.

Central limit theorem.

c) Inferential Statistics

Introduction; sample and sampling variability; sample statistics and sampling distributions.

Point estimates and estimators; unbiasedness; efficiency; consistency; estimate of the mean, of a proportion, and of a variance.

Confidence intervals; intervals for a mean, for a proportion (large samples) and for a variance.

Hypothesis testing; first- and second-type errors and power of a test; one and two tails tests for a mean, for a proportion (large samples) and for a variance; hypothesis testing for differences in two means, two proportions (large samples) and two variances.

Book

- G. CICCHITELLI (2012), Statistica: principi e metodi, Second edition, Pearson Italia, Milano.

Other books

- D. PICCOLO (1998), Statistica, Second edition 2000. Il Mulino, Bologna.

- D. PICCOLO (2010), Statistica per le decisioni, New edition. Il Mulino, Bologna.

- M. R. MIDDLETON (2004), Analisi statistica con Excel. Apogeo.

- E. BATTISTINI (2004), Probabilità e statistica: un approccio interattivo con Excel. McGraw-Hill, Milano.

- F. P. BORAZZO, P. PERCHINUNNO (2007), Analisi statistiche con Excel. Pearson, Education.

Details

The course consists of a series of lectures (56 hours) and of twelve exercise classes (24 hours). The working language is Italian.

It is assumed that students have a basic knowledge of mathematics, in particular about limits, derivation methods, and integration techniques.

The material which will be used during the exercise lessons will be made available online (e-learning).

## Examination Methods

The examination consists of two separate tests, one with a series of questions, and one with some exercises. The total examination will take about 2 hours and 30 minutes.

The examination is considered successful if the candidate has passed both the two written tests: students must receive at least 16 out of 30 in both written tests, and the final average score has to be at least equal to 18/30. Final scores equal to 16/30 or 17/30 allow students to face an oral and optional examination.

No books or personal material are allowed during the examination. Only the calculating machine is allowed. Material to use for evaluating the quantiles or the probabilities of statistical distributions will be made available by the teacher during the examination. The students are required to attend the examination with the identity card or a similar document.

In mid-November 2014, students have the opportunity to take an intermediate examination on the first part of the program. The intermediate examination (about 1 hour) consists in a series of questions. The final positive score will be considered during the two Winter examination sessions. The final score of the intermediate examination can provide an increase of at most three points of the (positive) result of the written examination of the Winter sessions.

## Type D and Type F activities

**Modules not yet included**

## Career prospects

## Module/Programme news

##### News for students

There you will find information, resources and services useful during your time at the University (Student’s exam record, your study plan on ESSE3, Distance Learning courses, university email account, office forms, administrative procedures, etc.). You can log into MyUnivr with your GIA login details.

## Further services

I servizi e le attività di orientamento sono pensati per fornire alle future matricole gli strumenti e le informazioni che consentano loro di compiere una scelta consapevole del corso di studi universitario.

## Graduation

## List of theses and work experience proposals

theses proposals | Research area |
---|---|

Tesi di laurea - Il credit scoring | Statistics - Foundational and philosophical topics |