First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
STATISTICAL SCIENCES
Course unit
STATISTICAL MODELS 2
SCP4063744, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
STATISTICAL SCIENCES
SS1736, Degree course structure A.Y. 2014/15, A.Y. 2017/18
N0
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Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination STATISTICAL MODELS 2
Website of the academic structure http://scienzestatistiche.scienze.unipd.it/2017/laurea_magistrale
Department of reference Department of Statistical Sciences
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge ALESSANDRA SALVAN SECS-S/01
Other lecturers EULOGE CLOVIS KENNE PAGUI SECS-S/04

Mutuating
Course unit code Course unit name Teacher in charge Degree course code
SCP4063744 STATISTICAL MODELS 2 ALESSANDRA SALVAN SC2094

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Educational activities in elective or integrative disciplines SECS-S/01 Statistics 9.0

Mode of delivery (when and how)
Period First semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Laboratory 2.0 16 34.0 2
Lecture 7.0 48 127.0 No turn

Calendar
Start of activities 02/10/2017
End of activities 19/01/2018

Examination board
Board From To Members of the board
2 Commissione a.a.2017/18 01/10/2017 30/09/2018 SALVAN ALESSANDRA (Presidente)
KENNE PAGUI EULOGE CLOVIS (Membro Effettivo)
MENARDI GIOVANNA (Membro Effettivo)
SARTORI NICOLA (Membro Effettivo)

Syllabus
Prerequisites: Calculus
Introduction to Probability
Linear Algebra
Statistics 1 and 2
Statistical Models 1
Target skills and knowledge: The course aims to expand the knowledge of regression models, in particular introducing the students to the theory and applications of generalized linear models. These include models for continuous, binary, categorical, count data. The course also provides the tools necessary for data analysis usig generalized linear models, using the statistical software R.
Examination methods: Written exam in computer lab (answer to some exam questions will require the use of the software R).
Assessment criteria: Student’s assessment will consider how the topics presented are mastered in problems and applications.
Course unit contents: Generalized linear models (GLM)
- Exponetial families, exponential dispersion families and GLM's: models, moments, link function, likelihood.
- Inference on the parameters of a GLM (point and interval estimation, hypothesis testing).
- Model adequacy: deviance and residuals. Model selection.
- Models for binary data.
- Multinomial models for nominal and ordinal responses.
- Models for count data: sampling schemes, Poisson regression, contingency tables and log linear models.
- Overdispersion with binary and count data: diagnosis, mixture models, beta-binomial and negative binomial regression.
- Models for zero-inflated count data.
- Inference based on estimating equations and quasi-likelihood.
- Models for correlated responses: marginal models, multivariate normal responses, generalized estimating equations, generalized linear mixed models.
Planned learning activities and teaching methods: Lectures and Computer Labs classes.
Additional notes about suggested reading: Teaching material will be available on the course website.
Textbooks (and optional supplementary readings)
  • Agresti, A., Foundations of Linear and Generalized Linear Models. Hoboken: John Wiley & Sons Inc, 2015. Cerca nel catalogo
  • Dobson, A. and Barnett, A., An Introduction to Generalized Linear Models, Third Edition. Boca Raton, FL: Chapman and Hall/CRC, 2008. Cerca nel catalogo
  • Madsen, H. and Thyregod, P., Introduction to General and Generalized Linear Models. Boca Raton, FL: Chapman and Hall/CRC, 2010. Cerca nel catalogo
  • Azzalini, A., Inferenza Statistica: una Presentazione basata sul Concetto di Verosimiglianza. Milano: Springer-Italia, 2001. Capitolo 6 (in English: Azzalini, A. (1996). Statistical Inference, based on the Likelihood. Chapman and Hall, Chapter 6) Cerca nel catalogo
  • Pace, L., Salvan, A., Introduzione alla Statistica - II. Inferenza, Verosimiglianza, Modelli. Padova: Cedam, 2001. Capitoli 8 e 10 Cerca nel catalogo
  • Bortot, P., Ventura, L., Salvan, A., Inferenza Statistica: Applicazioni con S-Plus e R. Padova: Cedam, 2000. Capitolo 5 Cerca nel catalogo
  • Pace, L., Salvan, A., Teoria della Statistica: Metodi, Modelli, Approssimazioni Asintotiche. Padova: Cedam, 1996. Capitolo 6 (in English: Pace, L., Salvan, A. (1997). Principles of Statistical Inference. World Scientific, Singapore, Chapter 6) Cerca nel catalogo