SPATIO-TEMPORAL STATISTICAL MODELS

Statistics provides a powerful approach to make sense of data and to take into account the uncertainties which come from the randomness of complex systems. To provide PHD students with the most suitable statistical training for their research needs and to adapt to the different background and previous experiences this course is part of a 4-course series which is available to doctoral students of the Department. The courses are

* Introductory Statistics
* Regression models and distribution fitting
* Statistical models: generalised linear models and extensions
* Spatio-temporal statistical models

Each course is worth 3 credits. Students from the Science and Management of Climate Change must take (at least) two courses. Students from the Environmental Sciences program can take as many courses as needed. Students who are interested in gaining a more solid background in statistical sciences are highly encouraged to follow all courses.

It is recommended that all students discuss with the instructors of the courses, their PhD supervisor and/or the PhD director the most suitable combination of courses to take for their PhD plan.

Gli studenti saranno in grado di effettuare correttamente un'analisi statistica delle variabili ambientali e climatiche utilizzando software statistici, individuando l'approccio statistico più adatto al problema oggetto di studio e identificando potenziali benefici e insidie dei vari approcci analitici.

Prima di partecipare a questo corso consigliamo di seguire gli altri corsi offerti, in particolare il primo corso Introductory Statistics.

The course will introduce some elements of analysis in the presence of temporal dependence (time series analysis: autocorrelation function, trend estimation, seasonality, ARIMA models) and in the presence of spatial dependence (analysis of spatial data, spatial dependence, covariogram, Kriging). We will consider the analysis of case studies in the environmental and experimental fields.

Book open source on R and data analysis
Scientific manuscripts
Slides provided by the lecturer

The examination will take place in the computer lab.
Students will be asked to answer a few written questions and to carry out a data-analysis task, providing a small report on their analysis.
The grade will be based on the number of correct answers provided in the written questions and on the level of the presentation for the data analysis task. In particular, the following items will be evaluated: clarity of the presentation and, appropriateness of the statistical approaches and data visualization methods, readability of the code.

Teaching will be organized in:
a) lessons on the main theoretical concepts and the description of the various methods;
b) exercises in which the theoretical concepts are put into practice, writing code, analyzing data, interpreting and communicating the results.

English

written