Statistics II

Presentation

The purpose of this course is to introduce probability distribuitions models and the basic principles of Inferential Statistics. Students should understand the usefulness and wide application of these methodologies to various contexts, particularly in their subject areas. It is intended that students develop their thinking skills, helping them to address and solve real practical problems in their area of study or in other contexts.

Part of this Programme

Economics

Level of Qualification|Semesters|ECTS

| Semestral | 6

Year | Type of course unit | Language

2 |Mandatory |Português

Code

ULHT32-986

Recommended complementary curricular units

Statistics I.

Prerequisites and co-requisites

n/a

Professional Internship

Não

Syllabus

1. Probability distribuitions

• Probability distributions for discrete random variables (uniform, binomial, negative binomial, hypergeometric, Poisson).
• Probability distributions for continuous random variables (uniform, normal, exponential, t-Student, chi-square).
• Approximations.

2. Estimation

• Confidence intervals for a population mean, variance and standard deviation.
• Confidence intervals for a population proportion.

3. Parametric hypothesis testing

• Hypothesis testing for the mean of a normal population and for a proportion of binomial populations.

4. Non-parametric hypothesis testing

• Chi-Squared goodness-of-fit test.
• Chi-Squared independence test.

Objectives

Skills:
- Understand different theoretical probability distribution models, identify them and apply them in practical cases.
- Build confidence intervals for Gaussian distribution parameters.
- Perform parametric hypothesis tests related to gaussian distribution.
- Develop non-parametric hypotheses tests (goodness-of-fit and independence tests).

Teaching methodologies and assessment

The classes are theoretical-practical, the theoretical concepts are presented and then complemented with practical examples. Orientations are given for students' study and learning. For each topic, it is presented a set of exercises of application of the theoretical concepts to concrete problems for students to solve in class and the final resolution is presented.
The evaluation can be continuous or through final examination. Continuous evaluation includes three tests with equal weighting, totaling 90% of the final grade and 10% result of the commitment and participation shown during the semester. A student in a Normal regime is only able to be evaluated in continuous evaluation if present in at least 75% of the total classes.

References

• Murteira, B., Ribeiro, C.S., Silva, J.A., Pimenta, C. (2015). Introdução à Estatística, Escolar Editora.
• Newbold, P., Carlson, W.L., Thorne, B.M. (2012). Statistics for Business and Economics, Prentice-Hall, 8ª Edição. (ISBN: 978-0132745659)
• Proença, I.M. (2010). Estatística, Euedito.(ISBN: 9789892021362)

Office Hours