Skip to Main Content (Press Enter)

Logo UNIBG
  • ×
  • Home
  • Degrees
  • Courses
  • People
  • Outputs
  • Organizations
  • Third Mission
  • Projects
  • Expertise & Skills

UNI-FIND
Logo UNIBG

|

UNI-FIND

unibg.it
  • ×
  • Home
  • Degrees
  • Courses
  • People
  • Outputs
  • Organizations
  • Third Mission
  • Projects
  • Expertise & Skills
  1. Courses

Statistics - 20111-1

courses
ID:
20111-1
Dettaglio:
SSD: Statistics for Experimental and Technological Research Duration: 48 CFU: 6
Located in:
DALMINE
Url:
Course Details:
INGEGNERIA DELLE TECNOLOGIE PER L'EDILIZIA - 20-270-TE/PERCORSO GENERICO Year: 2
INGEGNERIA DELLE TECNOLOGIE PER L'EDILIZIA - 20-270-TE/Geometra Laureato Year: 2
Year:
2025
Course Catalogue:
https://unibg.coursecatalogue.cineca.it/af/2025?co...
  • Overview
  • Syllabus
  • Degrees
  • People
  • Other

Overview

Date/time interval

Primo Semestre (15/09/2025 - 20/12/2025)

Syllabus

Course Objectives

The student obtains elements of applied probability theory, including Bayes formula, discrete and continuous random variables and elements of statistical inference, including estimation, hypothesis testing and simple regression analysis. They can use Excel to perform related computations.


Course Prerequisites

Concepts of Mathematical Analysis, Calculus including derivatives, integrals and series are extensively used.
Moreover, notions about matrix algebra and multiple integrals are also used.

Teaching Methods

Classroom lectures and tutorials using Excel.
A case study developed in group work and presented in front of the class.

Assessment Methods

----------------- Mode A -----------------

For those who can attend and prepare continuously, through intermediate tests and a group case study.


I) Intermediate tests.

- A self-assessment test to be carried out independently with the help of Excel.

- Two computerized intermediate tests that require the use of Excel. The intermediate tests are passed with an average of at least 18/30. The weights of each question within a test are initially equal, as the intermediate tests have the same weight. It is possible to recover the test evaluated with the lowest score during the ordinary session;


II) Case study on regression.

Development in a group and presentation of a case study on the topic of linear regression applied to a data set provided by the teachers. The paper that illustrates the developed case study and the Excel sheet with the computations must be delivered well before the exam. More details will be provided by December.


III) Presentation and discussion of the case study.

Group presentation in front of the class and discussion on contents, results and methodologies used. Each group member must also answer a theoretical question, valid for the oral exam, concerning the methods used in the case study. In case of an insufficient theoretical question, the student must take the oral exam, see point IV). All students participate in the discussion of the other groups and intervene with questions.


IV) Oral exam Those who do not present the group work referred to in modality III) sustain a final oral exam focusing on the theoretical contents and the paper developed in the group.


V) Groups. To carry out the above case study, students aggregate into groups of four people. The case study is uploaded by a representative designated by the group following the procedures indicated in the e-learning page's specific section. VI) Final grade. After I) and IV) are passed, the final grade is obtained as a weighted average between the grade of the intermediate tests referred to in point I) and that of the oral exam referred to in points III) or IV).


The weights are as follows:


- 40% for the two intermediate tests

- 30% for the report

- 30% for the oral exam


----------------- Mode B -----------------

In ordinary exam sessions, a single computerized test and an oral exam are passed in the same appeal. The required preparation includes the ability to do statistical computations using Excel and to show a theoretical understanding. The oral exam discusses the course's methods and evaluates the understanding of language, formalism and concepts at a descriptive and interpretative level. A non-exhaustive list of possible questions is available as an example on the e-learning page.


Contents

Random experiments.
Introduction to probability.
Conditional probability, independence.
Bayes' theorem.
Discrete random variables. Expectation, variance, moments.
Bernoulli, Binomial, Hypergeometric, Poisson and Geometric distributions.
Continuous random variables.
Existence of moments.
Uniform, Gaussian, Negative exponential, Gamma, Chi-square distribution.
Poisson process.
Central limit theorem.

Statistical inference.
Estimation: unbiasedness, consistency and efficiency.
Sample mean, percentage and variance.
Laws of large numbers.
Confidence Intervals.

Test of Hypoteses: P-value,
Neymann-Pearson approach: 1st and 2nd type errors.
Significance and power.
Testing the mean and asymptotically Gaussian tests.
Testing a percentage.
Testing variance.

Covariance and correlation.
Least squares and regression.
ANOVA of regression and determination coefficient
Tests and Confidence Intervals for regression coefficients.
Confidence Intervals for regerssion expected values.
Confidence Intervals for regression forecasts.

Online Resources

  • E-learning
  • Leganto - Reading lists

More information

Materiali del corso su MS TEAMS o Moodle

Degrees

Degrees

INGEGNERIA DELLE TECNOLOGIE PER L'EDILIZIA - 20-270-TE 
Bachelor's Degree
3 years
No Results Found

People

People

FASSO' Alessandro
Gruppo 13/STAT-01 - STATISTICA
AREA MIN. 13 - Scienze economiche e statistiche
Settore STAT-01/B - Statistica per la ricerca sperimentale e tecnologica
Professori Ordinari
No Results Found

Other

Main module

Integrated Course in Statistics and Topography
  • Use of cookies

Powered by VIVO | Designed by Cineca | 26.4.0.0