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Applied Statistics for Health

Code:

LTB21005

Sigla:

ES

Áreas Científicas
Classificação	Área Científica
OFICIAL	Matemática

Ocorrência: 2023/2024 - 1S

Ativa?	Yes
Página Web:	https://moodle.ips.pt/2324/course/view.php?id=1900
Unidade Responsável:	Departamento de Matemática
Curso/CE Responsável:

Ciclos de Estudo/Cursos

Sigla	Nº de Estudantes	Plano de Estudos	Anos Curriculares	Créditos UCN	Créditos ECTS	Horas de Contacto	Horas Totais
LTB	75	Plano de Estudos	2	-	6	60	162

Língua de trabalho

Portuguese
Obs.: Português

Objetivos

- Describe and apply techniques for summarizing a data set

- Solve problems involving models and probability distributions with discrete variables and with continuous variables

- Characterize and apply estimators

- Construct and interpret confidence intervals

- Identify and apply the appropriate parametric hypotheses test

- Identify and apply the appropriate nonparametric hypotheses test

- Build and analyze a simple linear regression model

 

Resultados de aprendizagem e competências

The curricular unit contents are structured, regarding its suitability for the intended learning outcomes.
Therefore, each subject approaches fundamental theoretical concepts and practical applications by solving problems that enable students to analyze certain phenomena of random nature, framed in the context of health science, particularly in the recognition and application of probabilistic models, the deduction and application confidence intervals and parametric and nonparametric hypothesis testing.

Modo de trabalho

Presencial

Pré-requisitos (conhecimentos prévios) e co-requisitos (conhecimentos simultâneos)

Basic knowledge Integral Calculus.

Programa

1. DESCRIPTIVE STATISTICS
Grouped data. Measures of location and dispersion.
2. THEORETICAL DISTRIBUTIONS
Discrete and continuous distributions.
3. ELEMENTS OF SAMPLING THEORY
Sampling Methods. Different types of epidemiological studies used in health care. Some Sampling Distributions
4. ELEMENTS OF ESTIMATION THEORY
Point and interval estimates. Confidence Intervals for mean, for proportion and for variance. Confidence Intervals for the difference between two means, for the difference between two proportions and for the ratio of two variances.
5. PARAMETRIC HYPOTHESIS TESTING (HT)
HT for mean, for proportion and for variance. HT for the difference between two means, for the difference between two proportions and for the ratio of two variances.
6. NONPARAMETRIC HYPOTHESIS TESTING
Tests of goodnessoffit. ChiSquare Independence test. Wilcoxon test. MannWhitney test.
7. SIMPLE LINEAR REGRESSION
Regression model. Correlation coefficient. Evaluating the Regression Equation.

Bibliografia Obrigatória

Cunha, Gilda; Estatística aplicada às ciências e tecnologias da saúde, Lisboa: Lidel, 2007. ISBN: 978-972-757-412-4
Douglas C. Montgomery, George C. Runger; Applied statistics and probability for engineers, John Wiley & Sons, 1999. ISBN: 0-471-17027-5
Jerrold H. Zar; Biostatistical analysis, Upper Daddle River : Prentice Hall, 1999. ISBN: 0-13-081542-X
Murteira, B.; Antunes, M; Probabilidades e Estatística, Lisboa: Escolar, 2012. ISBN: 978-972-592-359-7
Murteira, B.; Ribeiro, C. S.; Andrade e Silva, J.; Pimenta, C.; Introdução à Estatística, Escolar Editora, 2015. ISBN: 9789725924686
Stanton A. Glantz; Primer of Biostatistics, New York : MacGraw-Hill, 1981. ISBN: 0-07-024268-2
Wayne W. Daniel; Biostatistics : a foundation for analysis in the health sciences, John Wiley & Sons, 1999. ISBN: 0-471-16386-4

Bibliografia Complementar

André, J; Probabilidades e Estatística para Engenharia, Lidel, 2018. ISBN: 9789897522703
Galvão de Melo, F.; Probabilidades e Estatística: conceitos e métodos fundamentais, Escolar Editora. ISBN: 9789725921104
Graça, M. E; Introdução às Probabilidades e Estatística,, Universidade Aberta. ISBN: 9789726742708
Murteira, B; Análise Exploratória de Dados: Estatística Descritiva, MacGraw-Hill. ISBN: 9789729241253
Reis, E. .[et al.]; Estatística Aplicada - Volume I e II,, Edições Sílabo, 2001. ISBN: 9789895611836, 9789726189862

Métodos de ensino e atividades de aprendizagem

Theoretical Practical classes: Theoretical exposure of the subjects followed by problems solving.
Laboratory Practical classes: Problems solving (some exercises using software).

Software

Software R

Tipo de avaliação

Distributed evaluation without final exam

Componentes de Avaliação

Designation	Peso (%)
Teste	85,00
Trabalho escrito	15,00
Total:	100,00

Componentes de Ocupação

Designation	Tempo (Horas)
Estudo autónomo	102,00
Frequência das aulas	60,00
Total:	162,00

Obtenção de frequência

Continuous assessment with 2 tests and 1 practical work or Evaluation by final examination.

Fórmula de cálculo da classificação final

Continuous assessment
Assigning by T1 the classification of the first test (from zero to 20), T2 the classification of the second test (from zero to 20) and by Trab the classification of the practical work (from zero to 20), the final classification (CF) is:
CF = 0.50×T1+0.35×T2+0.15×Trab

• If CF is greater than or equal to 10 and less than 18, the student is approved with a final grade equal to CF, provided that the classification in any of the tests was greater or equal to 7.0 values.


• If the CF is equal or greater than 18, the student must do an oral exam. The final grade is the average between the tests and the grade of the oral exam. If the student does not attend the oral exam, the final classification will be 17.


• If CF is less than 10, students will be able to recover the lowest test by performing a recovery test (in the same day of the first exam), provided that one of the tests is greater or equal to 7.0 values.

 
Evaluation by Exam

• If the grade of the exam is greater or equal to 10 and less than 18, the student is approved with a final mark equal to the grade of the exam.


• If the grade of the exam is equal or greater than 18, the student must do an oral exam. The final grade is the average between the two grades. If the student does not attend the oral exam, the final classification will be 17 points.

Observações

All information about this curricular unit, including support materials, is available on the Moodle platform.