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Code 12510
Year 2
Semester S2
ECTS Credits 6
Workload TP(60H)
Scientific area Mathematics
Entry requirements Knowledge of real analysis.
Mode of delivery Face to Face.
Work placements Not applicable
Learning outcomes At the end of the curricular unit, students should be able to:

- Obtain basic knowledge of Probability and Statistics, vital for future learning of more advanced concepts that arise in the course of academic and/or professional training.
- Select and apply proper statistical methods to draw conclusions under uncertainty in Optometry and Vision Science.
Syllabus 1. Brief review of Descriptive Statistics

2. Basic concepts of probability
- Random Experience, sample space and events.
- Classical definition of probability.
- Axiomatic definition of probability and its consequences.
- Conditional probability and independence of events.
- Real discrete and continuous random variables and therir probability distributions.
- Distribution moments.
- Characterization of some discrete and continuous probability distributions.
- Central Limit Theorem and its applications.

4 Introduction to statistical inference
- Point estimation and estimator properties
- Confidence Intervals
- Parametric and non-parametric hypothesis tests
Main Bibliography - Murteira, B., Ribeiro, C., Silva, J.A. and Pimenta, C. (2010). Introdução à estatística. Escolar Editora.
- Hall, A., Neves, C. and Pereira, A. (2011). Grande Maratona de Estatística no SPSS. Escolar Editora.
- Ross, S. (2009). Introduction to probability and statistics for engineers and scientists. Amsterdam Elsevier.
Planned learning activities and teaching methods Theoretical-practical classes - Presentation of the syllabus with illustrative examples that help to clarify the concepts and results presented. Problem solving with the encouragement of active participation of students and the use of a statistical software when justified. The organization of the curricular unit in theoretical-practical classes allows us to solve exercises immediately after each theoretical content and this improves the acquisition of knowledge and skills by the students. Most of the examples and exercises include the area of this degree.
Metodologias de Ensino e Critérios de Avaliação A avaliação de conhecimentos é feita ao longo do semestre com a realização de dois testes escritos e caso os estudantes não atinjam as competências esperadas a avaliação é feita por um exame escrito no final do semestre.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2016-06-09

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