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Probability and Statistics

Code 12090
Year 2
Semester S1
ECTS Credits 6
Workload TP(60H)
Scientific area Mathematics
Entry requirements None.
Mode of delivery Face to face.
Work placements Not applicable
Learning outcomes Students are expected to be able to obtain a sample to carry out a project, to describe the sample data and summarize the information. Students are also expected to solve problems using introductory topics of Theory of Probability, and inferential methods concerning confidence intervals and parametric hypothesis tests. The SPSS statistical program will be used.
Syllabus DESCRIPTIVE STATISTICS Data collection. Introduction to SPSS. Frequency tables of one-dimensional and two-dimensional variables. Graphical representations of one-dimensional and two-dimensional variables. Numerical characteristics of a distribution. Linear relationship between two variables.
PROBABILITY THEORY Random Experiments. Results space. Events. Axiomatic definition of probability. Properties. Laplace's law. Conditioned probability. Independence. Total Probability Theorem and Bayes Theorem. Random variables (discrete and continuous). Distribution function. Probability function. Probability density function. Expected value of a random variable. Variance and standard deviation of a random variable. Theoretical distributions.

STATISTICAL INFERENCE Sampling methods. Sample distribution of the mean. Confidence Intervals. Introduction to hypothesis testing. Validation of parametric test assumptions. Some parametric hypothesis tests.
Main Bibliography Pedrosa, A.C., Gama, S.M. (2008), Introdução Computacional à Probabilidade e Estatística, Porto Editora
Murteira, B., Ribeiro, C., Silva, J. e Pimenta, C. (2015), Introdução à Estatística – 3ª edição. Escolar Editora.
Maroco, João (2018). Análise Estatística com a utilização do SPSS, 7ª edição, Ed. Report Number.
Guimarães, R. C. e Sarsfield Cabral, J. A. (2010), Estatística – 2ª edição. Editora Verlag Dashofer.
Agresti, A., Finlay, B. (2009). Statistical Methods for the Social Sciences, 5th Edition. Pearson.
Teaching Methodologies and Assessment Criteria The teaching methodologies are consistent with the learning outcomes of the curricular unit because the exposition of the syllabus associated with the presentation of practical cases and the resolution of exercises allow the acquisition of the skills.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2021-10-14

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