Statistics

In this curricular unit are used the following teaching methodologies:

1) Verbal Methodologies (say), making use of pedagogical resources: Exhibition, Explanation, Dialogue and Interrogation;

2) Intuitive Methodologies (show), making use of pedagogical resources: Demonstration, Audiovisual and Written Texts.

The objectives of this curricular unit are:

1. Introduce the basics of Descriptive Statistics and Probabilities, in order to familiarize the student with terminology and main techniques;

2.Learn inferential statistical techniques and their assumptions in order to use them judiciously and critically, aware of their limitations, and to correctly interpret the results;

3. To know important concepts of sampling theory in order to operationalize it through statistical inference;

4. To know and know how to use statistical decision techniques: to formulate hypotheses and to evaluate them through hypothesis tests.

1. Descriptive statistics: Data Classification, Characterization of Univariate and Bivariate Samples.

2. Elementary Probability Theory: Probability; Conditional probability.

3. Random Variables – Probability Distribution: Probability and Density Function; Distribution Function; Parameters.

4: Characteristics of some Univariate Distributions: Discrete and Continuous Distributions.

5. Sample distributions: Random sample, estimator, estimate, sample distribution.

6. Sampling: Sample sizing and composition; Obtaining, analysis and classification of samples; Statistical treatment of samples.

7. Confidence intervals. confidence interval for population mean, variance, standard deviation, proportion.

8. Hypothesis Tests: Significance test: for means, for variances and for proportions.

NAO

–  Fonseca, J. S., Martins, G. A. – Curso de Estatística, 6ª edição, Editora Atlas S.A. 1996.

–  Figueiredo, F., Figueiredo, A., Ramos, A., Teles, P. – Estatística Descritiva e Probabilidades. Exercícios resolvidos e propostos com aplicações em R, Escolar Editora, 2007.

–  Murteira, B. – Probabilidades e Estatística, Vol. I, II, McGraw-Hill, 1990.

–  Murteira, B., Ribeiro, C.S., Silva, J.A., Pimenta, e C. – Introdução à Estatística, (2ª edição), McGraw-Hill, 2007.

–  Pestana, M., Gageiro, J. – Análise de dados para Ciências Sociais: A complementaridade do SPSS . ed. 4, Edições Sílabo, Lda. 2005.

–  Reis, E., Melo, P., Andrade,R., Calapez, T. – Estatística Aplicada vol I e II, Edições Sílabo 2001.