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# Statistical Methods

 Code: EIC0105 Acronym: MEST

Keywords
Classification Keyword
OFICIAL Mathematics

## Instance: 2012/2013 - 2S

 Active? Yes Web Page: http://paginas.fe.up.pt/~jlborges/statistics/mest_2013.html Responsible unit: Department of Industrial Engineering and Management Course/CS Responsible: Master in Informatics and Computing Engineering

### Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
MIEIC 203 Syllabus since 2009/2010 1 - 5 56 135

### Teaching Staff - Responsibilities

Teacher Responsibility
José Luís Cabral Moura Borges

### Teaching - Hours

 Lectures: 2,00 Recitations: 2,00
Type Teacher Classes Hour
Lectures Totals 1 2,00
José Luís Cabral Moura Borges 2,00
Recitations Totals 7 14,00
Andreia Zanella 4,00
José Luís Cabral Moura Borges 6,00
Maria João Medeiros de Vasconcelos 4,00
Last updated on 2013-02-22.

Fields changed: Objectives, Bibliografia Complementar, Bibliografia Obrigatória

Portuguese

### Objectives

This course unit aims to provide students with an integrated vision of the basic concepts and techniques of Statistics.

### Learning outcomes and competences

At the end of this course unit, students should be capable of:

-using methods to explore, summarize and present data;

- using statistical inference methods.

Presencial

### Program

1. Scope and method of Statistics 2. Descriptive Statistics: characterisation of univariate and bivariate samples constituted by quantitative or qualitative data 3. Elementary probability theory 4. Random Variables and Probability Distributions: distribution of discrete and continuous variables; distribution parameters; transformed variables; 5. Joint Distribution of Two Random Variables: Joint, marginal and conditional distributions; Independent variables; Covariance and correlation; Distribution of functions of two or more random variables; 6. Characterisation of some univariate discrete distributions: Binomial, Hypergeometric and Poisson 7. Characterisation of some univariate continuous distributions: uniform, negative exponential, normal, chi-square, t and F; 8. Random Sampling and Sampling Distributions: distribution of a sample average; central limit theorem; generation of random variables 9. Confidence intervals: specification of confidence intervals; 10. Hypothesis Testing: Specification of hypothesis tests

### Mandatory literature

Guimarães, Rui Manuel Campos; Estatística. ISBN: 978-84-481-5589-6
Rui Campos Guimarães e José António Sarsfield Cabral; Estatística, 2ª edição, Verlag Dashofer, 2011. ISBN: 978-989--642-108-3
Deborah Rumsey; Statistics Essentials FOR Dummies, wiley, 2010. ISBN: 978-0-470-61839-4

### Complementary Bibliography

Wonnacott, Thomas H.; Introductory statistics. ISBN: 0-471-51733-X
Rui Campos Guimarães, José A. Sarsfield Cabral; Estatística. ISBN: 978-84-481-5589-6

### Teaching methods and learning activities

Theoretical classes: presentation of the course unit themes followed by examples and problem solving Theoretical-practical classes: problem solving and clarification of doubts

### Evaluation Type

Distributed evaluation with final exam

### Assessment Components

Description Type Time (hours) Weight (%) End date
Attendance (estimated) Participação presencial 68,00
Exame 4,00
Exame 3,00
Exame 72,00
Intermediate Evaluation Teste 4,00 30,00
Final Exam Exame 3,00 70,00
Total: - 100,00

### Amount of time allocated to each course unit

Description Type Time (hours) End date
Study Estudo autónomo 72
Classes Frequência das aulas 56
Total: 128,00

### Eligibility for exams

Students cannot miss more classes than allowed by the rules. Students have to reach a minimum average grade of 6.00 in the mini-tests, in order to be admitted to the final exam.

### Calculation formula of final grade

Final Grade= MT1 * 0.15 + MT2 * 0.15 + Exam * 0.70

In order to be approved it is necessary to have:

(MT1 + MT2)/2 >= 6.00

Exam >= 8.00

### Special assessment (TE, DA, ...)

Students who do not need to attend classes (according to the rules) will be assessed based on the grade of the final exam. However, students can decide to attend the mini-tests (the professor must be informed) and their grade will be based on the following formula: MT1 * 0.15 + MT2 * 0.15 + Exam * 0.70 If students choose to be assessed by mini-tests and final exam, they will have to reach a minimum average grade of 6.00 in the mini-tests, to be admitted to the final exam.

If a student decides to attend the first mini-test it means that they will be assessed based on the continuous assessment rules, therefore they will have to attend both mini-tests.

### Classification improvement

Students can improve the mark of their mini-tests at recurso (resit) season. However, this is only possible for students who completed the course at the normal season. Thus, students who want to improve their marks, have to reach a minimum grade of 9.5 out of 20 in the weighted average of the mini-tests and the regular season exam grade. If that is the case, the mini-tests grades will not be taken into account at the recurso (resit) season and the final grade will be solely based on the grade of the final exam.