Statistics

Recommended Prerequisites

Mathematical Analysis I.

Teaching Methods

The teaching is provided in theoretical and practical sessions. The theoretical sessions are expository and include the presentation of examples that motivate and enable to understand the notions exposed. In order to apply the acquired knowledge, exercises are systematically proposed in the practical sessions and students must participate in solving them.

Small projects involving fieldwork, development of simple statistical models and computational means may be suggested to develop critical skills and interpretation of results.

Weekly, tutorial time is offered to help students.

Learning Outcomes

The goal is to introduce basic knowledge to prepare the student to model the behavior of random phenomena in the context of engineering or science. It contributes to prepare students to describe, analyze and interpret real situations using non-deterministic mathematical models. The correct use of statistical methods in specific cases, and the strict interpretation of results, requires a theoretical base, for which this course contributes.

It intends to prepare students for applying statistical methods and concepts to real situations involving the estimation of parameters of a model, testing its fitness and getting explanation to interpret, predict and decide on the phenomena under study.

This unit develops the following instrumental skills: analysis and synthesis, problem solving and decision-making capacity. On a personal level: development of critical thinking, work in interdisciplinary teams and autonomous learning.

Work Placement(s)

No

Syllabus

Probability.

Random variables and distributions: discrete and continuous real random variables, central limit theorem.

Point estimation.

Interval estimation.

Hypothesis tests: parametric tests, chi-square test of adjustment.

Head Lecturer(s)

Cristina Maria Tavares Martins

Assessment Methods

Continuous assessment
Frequency: 100.0%

Final assessment
Exam: 100.0%

Bibliography

• Gonçalves, E., E. Nogueira, A.C. Rosa (2011) - Noções de Probabilidades e Estatística, 183 p. Departamento de Matemática, FCTUC.

• Murteira, B., C. S. Ribeiro, J. A. Silva, C. Pimenta (2010) - Introdução à Estatística, 3ª ed., Escolar Editora, Lisboa.

• Andrews, L.C., R.L. Phillips (2003) – Mathematical Techniques for engineers and scientists, Spie Press, Washington.

• Devore, J.L. (2011) - Probability and statistics for engineering and the sciences, 8ª ed., Brooks/Cole.

• Guimarães, R., Sarsfield Cabral, J. (2007) - Estatística, 2ª ed., McGraw-Hill, Lisboa.

• Maroco, J. (2007) - Estatística com utilização do SPSS, 3ª ed., Edições Sílabo.

• Montgomery, D.C., G.C. Runger (2007) - Applied Statistics and Probability for Engineers, 4ª ed., 2007, Wiley.

• Moore, D., McCabe, G. (2011) -  Introduction to the practice of statistics,  7ª ed., Freeman, New York.