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Statistics 2017/2018

  • 5 ECTS
  • Taught in Portuguese
  • Continuous Assessment

Objectives

It is intended that the student is able to:
i. Analyze and interpret a data set from the notions of Descriptive Statistics / Data Analysis.
ii.Know the counting techniques and apply combinatorial calculation in solving probability problems.
iii. Interpret, analyze and apply the theory of probability to various practical problems.
iv. Define, classify and use random variables
v. Know, identify and apply discrete theoretical distributions
The student should be able to perform statistical inferences within the course units that succeed (Quantitative Methods and Econometrics), built from the basics of descriptive statistics and probability theory.

Recommended Prerequisites

Basic knowledge of Mathematics and Descriptive Statistics.

Teaching Metodology

Presentation and discussion from case studies.
We use the lecture method to introduce the syllabus supplemented with the presentation of practical application examples (with application of SPSS).

Body of Work

1) Descriptive Statistics
1.1 Important concepts (revisions) :data, population/sample and varibles
1.2 Univariate Distributions (revisions): Frequency distributions, graphical representations and descriptive measures (location, dispersion).
1.3 Bivariate Distributions: correlation
1.4 Applications (software SPSS).
2) Probability Theory
2.1 Combinatorial analysis (Revision).
2.2 Introduction: randomized trials; Space results and events.
2.3 Probability Concepts. Conditional probability. Theorems. Bayes Theorem. Independence.

3) Variable Random
3.1 Random variables: definition and classification of variables.
3.2 Distribution function (properties).
3.3 Probability function of a discrete random variable. Density probability function of a continuous random variable.
3.4 Expected value. Variance and standard deviation.

Recommended Bibliography

Murteira, B., Ribeiro, C., Andrade e Silva, J., Pimenta, C. Pimenta, F. (2015). Introdução à Estatística (3ª edição). Escolar Editora.

Afonso, A. e Nunes, C. (2011). Estatística e Probabilidades. Aplicações e soluções em SPSS. Escolar Editora.

Newbold, P., Carlson, W. and Thorne, B. (2013). Statistics for Business and Economics. Pearson.

Complementary Bibliography

Figueiredo,F., Figueiredo, A., Ramos, A. e Teles,P. (2007) Estatística Descritiva e Probabilidades, Escolar Editora.

Guimarães, R. C. e Sarsfield Cabral, J. A.(2010) Estatística, Editora: Verlag Dashofer (Portugal).

Paulino, C. D. e Branco, J. (2006) Exercícios de Probabilidade e Estatística, Escolar Editora.

Pedrosa, A. e Gama, S. (2007) Introdução Computacional à Probabilidade e Estatística, Porto Editora.

Weekly Planning

Week 1: Presentation of the program content, sources of information and evaluation methods of the UC. Main concepts of Descriptive Statistics (revisions).
Week 2: Frequency distributions and graphical representations (discrete and continuous variables).
Week 3: Descriptive measures of location and dispersion.
Week 4: Correlation: Pearson correlation coefficient
Week 5: Pratical applications with SPSS.
Week 6: Reviews of Combinatorial analysis.
Week 7: Probability Theory: random experiences; Results space; Events. Algebra of events.
Week 8: Probability Theory: properties of operations with events. Frequencist, Classical and Probability Axiomatic Definition (fundamental theorems).
Week 9: Conditional Probability. Bayes Theorem. Independent events.
Week 10: Probability Theory (cont.)
Week 11: Random variables - definition and classification of variables.
Week 12: Distribution Function. Practical applications.
Week 13: Probability function. Probability density function. Practical applications.
Week 14: Expected value. Variance and standard deviation. Practical applications of the measures studied.
Week 15: Practical applications.

Demonstration of the syllabus coherence with the curricular unit's objectives

The selected program content, aim to meet consistently the learning objectives.
For the purpose i) of the U.C. contributes point 1) of the program. This allows the student to recall the basic concepts of Descriptive Statistics to analyze, reduce, and interpret data.
For the purpose of ii) U.C. contributes 2.1) program. This allows analysis calculation for subsequent application in solving probability problems. The learning of probability theory concepts, sections 2.2) and 2.3) of the program allows students to obtain a solid knowledge in this area (Objective III). With regard to objectives iv) and v) directly contribute points 3) and 4)of the program.
Furthermore, the contents of this U.C. allows students to create practical skills by performing various practical exercises, to perform statistical inferences within the U.C that succeed.

Demonstration of the teaching methodologies coherence with the curricular unit's objectives

In the lecture presents the basic theoretical concepts for students to become able to apply the probability theory techniques. Practical classes allow solving practical exercises and study of practical applications of interest, with the completion of critical interpretation and analysis of the results.

relevant generic skillimproved?assessed?
Achieving practical application of theoretical knowledgeYesYes
Adapting to new situationsYesYes
Analytical and synthetic skillsYesYes
Balanced decision makingYesYes
Commitment to qualityYesYes
CreativityYes 
Ethical and responsible behaviourYes 
Event organization, planning and managementYesYes
Foreign language proficiency  
Information and learning managementYes 
IT and technology proficiencyYes 
Problem Analysis and AssessmentYesYes
Problem-solvingYesYes
Relating to othersYes 
Research skillsYes 
Self-assessment  
TeamworkYesYes
Written and verbal communications skillsYesYes
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