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Applied Statistics

Applied Statistics

Code	17587
Year	3
Semester	S1
ECTS Credits	5
Workload	TP(45H)
Scientific area	Mathematics
Entry requirements	NA
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.
Syllabus	I - Descriptive Statistics: Organization and representation of data Measures of central tendency and dispersion II - Introduction to Probability: Concepts of probability Conditional Probability and Independence Law of Total Probability and Bayes’ Theorem III - Random Variables (R.V.) and their probability distributions: Discrete and continuous R.V. Characterization of some discrete and continuous probability distributions Central Limit Theorem and its applications IV - Introduction to Statistical Inference: Sampling distributions Confidence intervals for one mean and difference of means, one proportion and difference of proportions Fundamental concepts of a hypothesis test (critical region; type I and II errors; test power; p-value) Hypothesis tests for one mean and difference of means, one proportion and difference of proportions V - Correlation and Simple Regression: Correlation and determination coefficients Estimation of regression coefficients (LSM)
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.
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 assessment of this course unit includes two written tests, following a mixed model (multiple choice and written response questions), as well as a group project.
Language	Portuguese. Tutorial support is available in English.