Code: | M1035 | Acronym: | M1035 |
Keywords | |
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Classification | Keyword |
OFICIAL | Mathematics |
Active? | Yes |
Responsible unit: | Department of Mathematics |
Course/CS Responsible: | Bachelor in Geology |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
L:G | 75 | study plan from 2017/18 | 1 | - | 6 | 56 | 162 |
2 | |||||||
3 |
Upon completing this course, the student should:
- have a good insight of the fundamental concepts and principles of statistics, and in particular those from basic inference statistics.
- know the common inference statistical methods and how to apply them to concrete situations;
It is also expected that the student acquires familiarity with the programing language and software environment R, in the framework of problems solving.
be able to identify and formulate a problem, to choose adequate statistical methods and to analyze and interpret in a critical way the obtained results.
1. Brief introduction to the objectives and methodology of statistics.
2. 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.
3. Some probability distributions: discrete distributions (uniform, binomial, and Poisson) and continuous (uniform, normal, exponential, chi-square and t-student. F); de Moivre-Laplace and the Central Limit theorems.
4. Random variables: discrete and continuous cases, distribution, mean and variance. Some probability distributions: discrete (uniform, binomial) and continuous (uniform, normal, chi-square, t-student and F) distributions; Central Limit theorem.
5. Sample distributions.
5. Statistical inference:point estimation (main concepts and properties of estimators); interval estimation (confidence intervals for the mean, difference in means, proportion, difference in proportions, variance); hypotheses tests (parametric and non-parametric).
Lectures and classes: The contents of the syllabus are presented in the lectures, illustrated with several examples. In the practical classes, exercises and related problems are solved and discussed. Several real data sets will be analyzed using the statistical software R. All resources are available for students at the unit’s web page.
designation | Weight (%) |
---|---|
Exame | 100,00 |
Total: | 100,00 |
designation | Time (hours) |
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Estudo autónomo | 106,00 |
Frequência das aulas | 56,00 |
Total: | 162,00 |
No requisites.
The exams required under special statutes will consist of a written (or oral) exam which may be preceded by an eliminatory oral exam.
Artigo 13º do Regulamento Geral para Avaliação dos Discentes de Primeiros Ciclos, de Ciclos de Estudos Integrados de Mestrado e de Segundos Ciclos da U.Porto, aprovado em 19 de Maio de 2010 (cf. http://www.fc.up.pt/fcup/documentos/documentos.php?ap=3&ano=2011): "A fraude cometida na realização de uma prova, em qualquer das suas modalidades, implica a anulação da mesma e a comunicação ao órgão estatutariamente competente para eventual processo disciplinar."
Any student may be required to take an oral examination should there be any doubts concerning his/her performance on certain assessment pieces.