Statistical Methods

Code:

M171

Acronym:

M171

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2013/2014 - 1S

Active?	Yes
Web Page:	https://moodle.up.pt/course/view.php?id=556
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Geology

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:BQ	71	Plano de Estudos a partir de 2007	2	-	5	-
L:CTA	71	Plano de estudos de 2008 até 2015/16	2	-	5	-
L:G	40	P.E - estudantes com 1ª matricula em 09/10	2	-	5	-
L:Q	88	Plano de estudos Oficial	2	-	5	-

Teaching language

Portuguese

Objectives

To introduce the fundamental concepts, principles and methods of statistics. Emphasis is given to the understanding of the concepts and to the critical application of the methods.

Learning outcomes and competences

Working method

Presencial

Program

1. Brief introduction to the objectives and methodology of statistics. 

2. Probability theory: basic concepts, operations between events, counting methods (review of the combinatorial calculus), interpretations of probability, independence of events and conditional probability, Bayes' theorem and the total probability theorem. 

3. Random variables: definition of random variable, probability function, probability density function and distribution function. Expected value, variance and their properties; two-dimensional variables. 

4. Some probability distributions: discrete distributions (binomial, geometric, hypergeometric and Poisson) and continuous (uniform, normal, exponential, chi-square and t-student); de Moivre-Laplace and the Central Limit theorems. 

5. Descriptive Statistics: definition of a statistic, types of observations and measurement scales; techniques for summarizing data (tables, graphs, measures of location and dispersion), outlier definition and the concept of correlation. 

6. Techniques of statistical inference: point estimation (main concepts and properties of the estimators), interval estimation (confidence intervals for mean, difference of means, proportions, difference of proportions, variance) and introduction to hypothesis testing. 

7. Statistical analysis of real problems using the software R. 

Mandatory literature

000101723. ISBN: 978-84-481-6099-2
000089262. ISBN: 0-471-45232-7
000038821

Teaching methods and learning activities

The practical classes are accompanied by exercise sheets relating to each of the programmatic sections; some sections are also accompanied by the use of statistical software in practical classes with computer.

Software

Software R

keywords

Physical sciences > Mathematics > Statistics

Evaluation Type

Distributed evaluation with final exam

Assessment Components

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

Calculation formula of final grade

Students may take two intermediate tests throughout the semester and a final exam. The minimum score in each test is 7 (out of 20) and the tests provide exemption from examination if the mean score of the two tests is at least 10. Students exempted from the final exam may still take it and, in case they want it to be graded, the mean score of the tests is replaced by the score obtained in the final exam. Students having a score over 17 must take an extra test, otherwise their final score will be 17.