| Code |
17587
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| Year |
3
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| Semester |
S1
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| ECTS Credits |
5
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| Workload |
TP(45H)
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| Scientific area |
Mathematics
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Entry requirements |
NA
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Learning outcomes |
At the conclusion of the Course Unit the student must have acquired the following learning outcomes:
• Understand the fundamental concepts of probability theory, descriptive statistic and inferential statistic;
• Show the importance and utility of the theory of probabilities to solve real-life problems;
• Acquire skills to use the statistic in solving practical problems and to comment the results obtained through the data analysis;
• Acquire the ability to use a software to solve problems in the context of Sport Sciences;
• Interpret and analyze the sports results presented by organizations that develop physical activity;
• Demonstrate ability to select, formulate and apply the contents of exploratory data analysis in the analysis of sports data.
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Syllabus |
I - Introduction to probabilities
Probability concepts
Conditional Probability and Independence
Law of total probability and Bayes's theorem
II - Random Variables
Discrete and continuous variables
Distribution function and probability and density functions
Parameters of random variables
III - Some probability distributions
Discrete: Bernoulli, Binomial, Hypergeometric and Poisson
Continuous: Normal, Exponential, Chi-square, t, and F
IV - Sampling Distributions
Central limit theorem
Sampling distributions of the sample mean and differences between means
Sampling distributions for one proportion and differences between proportions
Sampling distributions of the sample variance
V - Introduction to statistical inference
Point estimate
Confidence intervals for: a mean, differences between means, proportions, variances
Hypothesis tests for: a mean, differences between means, proportions, variances
VI - Introduction to the linear regression model
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Main Bibliography |
• Agresti, A. & Finlay, B. (2009). Statistical Methods for the Social Science, 4th ed. New Jersey: Pearson Prentice Hall.
• Guimarães, R.C. & Sarsfield Cabral, J.A. (2010). Estatística, 2ª ed. Verlag Dashöfer.
• Maroco, J. (2014). Análise Estatística com utilização do SPSS Statistics, 6ª ed.. Edições Sílabo.
• Murteira, B. & Antunes, M. (2012). Probabilidades e Estatística. Volumes I e II. Escolar Editora.
• Murteira, B., Ribeiro, C.S., Silva, J.A. & Pimenta, C. (2015). Introdução à Estatística, 3ª ed. Escolar Editora.
• Pestana, M.H., & Gageiro, J.N. (2014). Análise de dados para Ciências Sociais - A complementaridade do SPSS. 6th Ed. Lisboa: Edições Sílabo.
• Robalo, A. (2003). Estatística:Exercícios, 5ª ed. Volumes I e II. Edições Sílabo.
• Vincent, W. & Weir J. (2012). Statistics in Kinesiology, 4th ed. Human Kinetics Publishers.
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Teaching Methodologies and Assessment Criteria |
The classes will be fundamentally of a theoretical-practical nature, combining the exposition of the programmatic contents, their discussion and application in practical works. Previous notes/slides will be provided for the student to do a preliminary study. An exposition of the main contents will be made during the classes and the most theoretical contents will be presented using practical and concrete examples in the field of Sport Sciences.
The evaluation of this UC includes the accomplishment of 2 tests of knowledge evaluation.
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Language |
Portuguese. Tutorial support is available in English.
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