Probabilities and Statistics
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Recommended Prior Knowledge
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Objectives
Students should be able to apply statistical description methods, including both univariate and bivariate analysis, in common engineering applications.
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Teaching Methods
The teacher uses theory-practical lessons. Cooperative classroom. Active Learning in the form of written and oral activities carried out individually, in pairs or larger groups during class-time
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Internship(s)
Não
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Syllabus
Univariates Descriptive Statistics Review Exploratory data analysis. Discrete and continuous data; Frequency tables; Measures of location, variability, skewness and kurtosis; Graphs: pie, bar, histogram, stem-and-lead and boxplots; Outliers. Probability Calculus : Sample space, events. Event probability; Additives rules. Conditional probability. Multiplicative rules; Bayes’ rule and Bayes’ theorem. Random variables and probability distributions : Some discrete distributions: uniform, binomial, poisson and hypergeometric; Some continuous distributions: uniform, normal, chi-squared and t-student. Bivariate Statistical: Simple linear regression and data plots. Least squares estimators; Correlations coefficients: Pearson, Spearman and bi-serial point; Coefficient of association: Phi and Cramer. Inferential Statistics :Point and interval estimation for unknown population parameter; Confidence intervals for population mean.
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Content Explanation
The various techniques of data analysis that a student should be able to manipulate on completing the curriculum unit are included in the syllabus.
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Methodology Explanation
The teaching methodology, opted on problem solving, and whenever possible, with real situations, in order to prepare students for any situation.
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Responsible Lecturer(s)
Anabela de Fátima Domingues Cardoso Marques - 2.º Semester
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Bibliography
Guimarães, R. Campos e Cabral, J.A Sarsfield; Estatística, McGraw-Hill, 1999
Galvão de Mello; Probabilidades e Estatística, Escolar Editora, 2000
Lopes, A.; Probabilidades e Estatística, Reichmann & Afonso Editores, 2000
Hainant, L.; Conceitos e Métodos Estatísticos , Vol.1 e 2, Gulbenkian, 1997
Murteira, B. et al.; Introdução à Estatística, McGraw-Hill, 2002
Maroco, J.; Análise estatística – com utilização do SPSS (3ª Edição), Edições Sílabo, 2007
Daniel, W. W.; Biostatistics: A Foundation for Analysis in the Health Sciences., John Wiley & Sons, Inc., 1999
Course details
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Code
CVD011-S-0-6
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Teaching Mode
PRESENCIAL
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ECTS
6.0
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Duration
Semestrial
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Hours
15h Orientação Tutorial
30h Práticas e Laboratórios
15h Teóricas
