Multivariate Statistics

Code: MAT00919L

6 ECTS

Duration: 15 weeks/156 hours

Scientific Area: Mathematics

Teaching languages: Portuguese

Languages of tutoring support: Portuguese

Regime de Frequência: Presencial

Sustainable Development Goals

Educação de qualidade - Assegurar a educação inclusiva, e equitativa e de qualidade, e promover oportunidades de aprendizagem ao longo da vida para todos.

Learning Goals

In this course we study the most current models considered in Multivariate Statistics. These methods attempt to give students a broad education and current methods of multivariate statistics to be used in various scientific fields and various sets of data (categorical and continuous variables, statistical surveys, large databases, optimization problems, financial problems, economic and management, among others). Students, faced with a set of data and a particular objective, should be able to choose the adequate methodology and to be critical towards the results obtained. They should, similarly, have knowledge on the advantages, limitations and conditions of applicability of the several statistical methodologies presented in the curricular unit.The use of statistical software and analysis allow the treatment of databases.

Exploratory Analysis of Multivariate Data
Correspondence Analysis
Multidimensional Scaling
Decision Trees
Software: SPSS and R

Teaching Methods

Theoretical-practical lessons mainly lectured with a blackboard, with e-learning tools, and transparencies. Motivation of students attendance to the classroom and students continuous work.
Introduction to theoretical concepts appealing to different areas of applications to illustrate the importance of course contents. Exercises with emphasis in the resolution of real problems, to motivate interest in the course and to demonstrate its utility.
To stimulate individual and group participation within the classroom and at home.
To emphasize the critical analysis and interpretation of data, appealing to software outputs as much as possible.

Evaluation:
To privilege continued evaluation carrying out one test plus individual/group homework projects. If continuous evaluation is not feasible for the student, a final examination is possible, but the individual / group project is still required although with lesser weight for final grade.

Assessment

Avaliação em ingles

Two tests. The final grade corresponds to the weighted average of the 2 tests grades. The student completes successfully the course if he/she obtains a) a final grade greater than or equal to 9.5 values, b) a grade greater than 7 in both tests and if he/she attends at least 75% of the classes. Otherwise he/she will have to take an exam.

or

Exam. The final grade corresponds to the grade in the exam. The student completes successfully the course if he/she obtains a final grade greater than or equal to 9.5.
In either case, assessment by two tests or by exam, the students may be summoned for an oral test to confirm the final grade.