Cursos / 1º Ciclo / Faculty of Economy and Business Management :: Economics

Versao Portuguesa

ESTATÍSTICA - 2018/2019

2º curricular year
Semestralidade: 1st semester


Leading Teacher: Prof. Doutor Paulo Aguiar
Assistant Professor: Prof. Doutor Paulo Aguiar

Class type and School hours

Orientação Tutorial : 1 Horas
Teórico-prática : 2 Horas

Main Aims/Objectives

Enable students to gain an integrated view of basic and advanced concepts of frequently applied statistical techniques. The concepts and techniques are introduced through examples, intended in this way that students learn through concrete problems.

Specific Aims/Objectives

The student should be able to perform statistical studies and work with several distributions of discrete and continuous variables.

Skills to be acquired

It is expected that students become critical users of methods of statistical analysis, with autonomy to apply them in the preparation of decisions.

Teaching Procedures

Theoretical classes and tutorial classes will be given. Theoretical material will be exposed and exercises related to the subject will be solved.


1. Introduction
1.1. Purpose of statistics. Nature of method
2. Descriptive Statistics
2.1. Characterization of univariate and bivariate samples
3. Elementary Probability Theory
3.1. Sample spaces and events
3..2 The concept of probability
3.3. Conditional Probability
3.4. Independence.
3.5. Combinatorial analysis. Permutations, arrangements and combinations.
4. Random variables. Probability distributions
4.1. Random variables.
4.2. Distributions of discrete variables
4.3. Distributions of continuous variables
4.4. Parameters of distributions
5. Characterization of some univariate discrete distributions
5.1. Binomial Distribution
5.2. Negative Binomial Distribution
5.3. Hypergeometric Distribution
5.4. Poisson distribution
6. Characterization of some univariate continuous distributions
6.1. Uniform Distribution
6.2. Exponential Distribution Negative
6.3. Normal Distribution
6.4. Distribution of the Chi-square
6.5. Distribution t (of Student)
6.6. Distribution F
7. Sampling. Distribution of sample statistics
7.1. Random sampling
7.2. Sample distributions
7.3. Distribution of the sample mean
7.4. Central limit theorem
7.5. Generation of samples using the Monte Carlo technique
8. Estimation by interval. Confidence intervals
8.1. The concept of confidence interval
8.2. Specifying confidence intervals
8.3. Sizing of samples

Evaluation Type

The continuous assessment consists of two written examinations each with the duration of about one hour and half. The first one covers the first half of the course contents and takes place approximately half way through the semester and the second one covers the second half of the course contents and takes place towards the end of the semester.

Teaching Resources

The theoretical-practical classes will be given using computer resources, namely with Microsoft PowerPoint graphical projections.
Moodle notes and exercises will be available for students, however students are invited to read the recommended bibliography and to carry out the exercises proposed there.
In the assessment the students can use the scientific and non-graphical calculating machine and use only the tables of the studied distributions available in Moodle.


Probability; Statistic; Population; Distribution

Main Bibliography

Author GUIMARÃES, Rui & CABRAL, José António
Title Estatística
Edition 2ª Ed.
Place Porto
Editor McGraw-Hill
Year 2010
Author MURTEIRA, Bento; RIBEIRO, Carlos; SILVA, João, PIM
Title Introdução à Estatística
Edition 3ª Edição
Place Lisboa
Editor Escolar Editora
Year 2015
Author WONNACOTT, Thomas & WONNACOTT, Ronald
Title Introductory Statistics
Edition 5th Edition
Place New York, USA
Editor John Wiley & Sons

Complementary Bibliography

Author MARÔCO, João
Title Análise Estatística com o SPSS Statistics
Edition 6ª Edição
Place Lisboa
Editor Wook
Year 2014
Author CHATFIELD, Christopher
Title Statistics for Technology
Edition 3th Edition
Place USA
Editor Chapman & Hall