Statistics
Code
8792
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
Frederico Almeida Gião Gonçalves Caeiro
Weekly hours
4
Total hours
56
Teaching language
Português
Objectives
he aim of the course is to provide students a basic knowledge of Probabilities and Statistics which are an indispensable tool for decision making under uncertainty. In addition, the course helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study.
At the end of the unit students will have acquired skills that enable them:
-Know and understand the basic elements of the theory and the calculus of probabilities
-Describe the main probabilistic distributions of discrete and continuous variables and applies them in the description of random phenomena
-Infer about population parameters based on sample distributions
-Build-statistical models, which establish a functional relationship between variables
Prerequisites
Basics of mathematical analysis, pointing out some topological notions, primitives, integrals and functions of more than one variable.
Subject matter
1. Basic notions of probability.
2. Random variables and their probability distributions.
3. Moments of random variables.
4. Some important distributions.
5. Random vectors.
6. Central limit theorem.
7. Basic notions of statistics.
8. Point and interval estimation.
9. Hypothesis testing
10. Non-parametric tests
11. Simple linear regression
12. Experimental Error
Bibliography
Guimarães, R.C. & Cabral, J.A.S. (2007), Estatística, McGraw-Hill.
Montgomery, D.C. & Runger, G.C. (2011), Applied Statistics and Probability for Engineers, John Wiley.
Pedrosa, A.C.& Gama, S.M.A. (2004), Introdução Computacional à Probabilidade e Estatística, Porto Editora.
Pestana, D.D. & Velosa, S.F. (2002) Introdução à Probabilidade e à Estatística, Fundação Calouste Gulbenkian, Lisboa.
Robalo, A. (1994), Estatística - Exercícios, vol. I, II, Edições Sílabo, Portugal.
Teaching method
Lectures and problem-solving sessions, with wide participation of students.
Evaluation method
The classes take place with an oral presentation of the subjects, followed by practical examples. Learning is complemented by solving exercises.
Only be admitted for evaluation students who have a maximum of 9 faults or who attended last year.
CONTINUOUS EVALUATION
The students obtain approval if the weighted average of the three tests is greater than or equal to 9.5. If a student does not attend a test, this test will come with the factor of "0 x corresponding percentage" for the final classification.
Final mark = 40%T1 + 40%T2 + 20%T3
EVALUATION BY EXAM
The evaluation by exam is valid both for grade improvement as for discipline approval. The student with a final score greater than or equal to 17.5 should carry out an oral defense of note. Otherwise, will get a final score of 17.0.
More detailed rules are available in the Portuguese version.