Statistics II

Code:

1EC209

Acronym:

ESTII

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2022/2023 - 2S

Active?	Yes
Responsible unit:	Agrupamento Científico de Matemática e Sistemas de Informação
Course/CS Responsible:	Bachelor in Economics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LECO	414	Bologna Syllabus since 2012	2	-	6	42	162

Teaching language

Portuguese

Objectives

In the end of the course, students should:
1. Know the most important concepts of the Statistical Inference, which are essential for the study of Econometrics.
2. Be able to apply the statistical methods to solve problems in new situations, never forgetting their rigourous mathematical formularisation.

Learning outcomes and competences

By the end of the CU the students should understand the concepts leading to statistical inference; be able to apply statistical methods, bearing in mind their rigorous mathematical formulation and applicability conditions.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

The curricular unit Estatística I. Software R

Program

Introduction. Random Sampling.

Point Estimation of Parameters. Properties of estimators: unbiasedness, efficiency, consistency and sufficiency. Methods of point estimation: method of moments and method of maximum likelihood.
Interval estimation. 

Confidence intervals for the parameters of a Normal population and for the proportion (large samples). Confidence intervals for the difference of means and ratio of variances of Normal populations. Confidence intervals for the difference of proportions.

Tests of Hypothesis for a single sample. Tests of hypotheses for 2 samples. 

Chi-squared tests: goodness of fit. Analysis of variance with 1 factor. 

Mandatory literature

Figueiredo Fernanda Otília de Sousa 070; Inferência estatística. ISBN: 978-972-592-501-0
Murteira Bento José Ferreira 070; Introdução à estatística. ISBN: 978-972-592-282-8
Guimarães Rui Manuel Campos; Estatística. ISBN: 978-989-642-108-3
Hines William W.; Probability and statistics in engineering and management science. ISBN: 0-471-60090-3
Keller Gerald; Statistics for management and economics. ISBN: 978-0-324-56949-0

Teaching methods and learning activities

The methods are presented and discussed in class in the context of practical problems and exercises. There is a discussion on the applicability condtions of the methods. The software/programming environment R is used to ilustrate the application of the methods with emphasis on the interpretation of the results.
All classes are in Portuguese.

Software

R Project (www.r-project.org)

keywords

Physical sciences > Mathematics > Statistics

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation	Weight (%)
Teste	100,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	123,00
Frequência das aulas	39,00
Total:	162,00

Eligibility for exams

i) Continuous evaluation scheme (evaluation with tests).

40%*Classification of 1st test + 60%*Classification of 2nd test (both tests must have a classification greather or equal than 6.0) or Classification of final examination.



ii) Classification of final examination (Exam).

Calculation formula of final grade

Evaluation: 
i) 2 tests. The first test weights 40% and the second test weights 60% of the final mark and will be realized on dates to be announced.
The minimum mark in each test is 6.0.

ii) Final Exam

Special assessment (TE, DA, ...)

General UP and FEP regulations apply.