Statistics I

Recommended Prerequisites

Mathematics A, Mathematics B (High School).

Teaching Methods

Theoretical Classes: exposition of matters and presentation of illustrative examples taking recourse to data show.

Practical Classes: resolution of practical exercises that illustrate and complements the matters presented in the theoretical classes.

Learning Outcomes

Overall objectives

Students should be able to do exploratory analysis of data using numerical and graphical methods, so that the most relevant aspects may be identified, with potential use in Management and Economics. He should understand concepts and be able to do some calculations concerning probabilities.

Specific objectives

Characterization of the distribution of a statistical variable with the aim at taking decisions. Analysis of the relation between two statistical variables. Relations between the values of one or more statistical variables. Knowledge of basic definitions and results on probabilities.

Generic competencies

Capacity for: analysis and synthesis, oral and written communication, computing skills, problem solving, applying knowledge in practice.

Specific competencies

Ability to: do logic and deductive thinking, use intuition to solve problems, use graphical representations to interpret results, resume and take conclusions on the data so as to make decisions.

Work Placement(s)

No

Syllabus

1 Descriptive Statistics

1.1 Introductory Concepts

1.2 Frequency Distributions

1.2.1 Frequency Tables and empirical distribution function

1.2.2 Graphical representation

1.2.3 Measures concerning a distribution

1.3 Simple Correlation and regression

1.3.1 Linear regression

1.3.2 Correlation and goodness of fit

- Coefficient of linear correlation

- Coefficient of determination

1.4 index numbers

1.4.1 Introduction

1.4.2 Elementary index and composed index

1.4.3 Laspeyres, Paasche and Fisher indexes

1.4.4 Inflation index

1.4.5 Fixed base index and moving base index

1.4.6 Base change; Index conciliation

1.4.7 Issues on index number construction

2. Probabilities and random variables

2.1 Experiments and events

2.2 Definitions of probability

2.3 Independence and  dependence; conditioning

2.4 Bayes formula

2.5 Random variables

Head Lecturer(s)

Rui Armando Pardal Silva Pascoal

Assessment Methods

Assessment
Exam (100%) or Exam (80%) + assignment (20%): 100.0%

Bibliography

ALMEIDA, Rui de - Estatística matemática : rudimentos comedidos. Coimbra : FEUC, 1999.

ANDERSON, David Ray ; SWEENEY, Dennis J. ; WILLIAMS, Thomas A. - Estatística aplicada à administração e economia. 2ª ed.. São Paulo : Thomson Learning, 2007. 

ESTATÍSTICA descritiva e probabilidades : problemas resolvidos e propostos com aplicações em R.. Fernanda Figueiredo [et al.]. 2ª ed. Lisboa : Escolar Editora, 2009.

MURTEIRA, Bento — Análise exploratória de dados : estatística descritiva. Lisboa : Editora McGraw-Hill de Portugal, 1996.

MURTEIRA, Bento ; BLACK, George Hubert Joseph — Estatística descritiva. Lisboa : Editora McGraw-Hill de Portugal, 1983.

PINTO, J. C. Castro ; CURTO, J. J. Dias - Estatística para economia e gestão : instrumentos de apoio à tomada de decisão : com aplicações em Excel. Lisboa : Edições Sílabo, 1999.

SILVA, Maria Manuela Vivaldo Santos — Noções de estatística descritiva. Coimbra : FEUC, 1998.