Statistics II

Base Knowledge

Knowledge of Descriptive Statistics and Probability Theory. Statistics I.

Teaching Methodologies

The classes are theoretical and practical, according to the curricular plan.

Theoretical component: explanation of the subjects and resolution of illustrative examples.

Practical component: resolution of practical exercises that illustrate and complement the subjects presented in the lectures, under the guidance of the teacher, but encouraging autonomous resolution.

Learning Results

The main objective of this subject is that students have the knowledge and know how to use the two techniques of inferential statistics: Estimation and Hypothesis Tests.

It is intended that the students of this subject acquire:  

– Knowledge of the main sampling techniques;

 – Ability to use the information contained in a sample (representative) for the purpose of making decisions and drawing conclusions for the population.

Program

1. Sampling

1.1. Introduction

1.2. Sampling methods

1.3. Some continuous distributions

2. Point Estimation

2.1. Properties

2.2. Estimation methods

3. Interval estimation

3.1. Confidence interval for average

3.2. Confidence interval for proportion

3.3. Confidence interval for variance

3.4. Confidence interval for difference between means

3.5. Confidence interval for difference between proportions

3.6. Confidence interval for variance ratio

4. Hypothesis Test

4.1. Introduction

4.2. Location tests

4.2.1. Tests on average of one and two populations

4.2.2. Tests to the proportion of one and two populations

4.3. Dispersion tests

4.3.1. Tests on the variance of one and two populations

5. Non-Parametric Tests

5.1. Chi-square test

5.2. Tests of location of a population

6. Variance Analysis

6.1. One way analysis of variance

6.2. Two way analysis of variance

Curricular Unit Teachers

Internship(s)

NAO

Bibliography

Main:

Murteira, B. et al (2015). Introdução à Estatística. 3ªEd, Escolar Editora.

Newbold, P., Carlson, W. & Thorne, B. (2022). Statistics for Business and Economics, Global Edition, Pearson Education Limited.

Paulino, C.D. e Branco, J. (2005). Exercícios de Probabilidade e Estatística. Escolar Editora.

Pedrosa, A. e Gama, S. (216). Introdução computacional à Probabilidade e Estatística, 3ª Ed. Porto Editora.

Webster, A.L. (2007). Estatística aplicada à Administração e Economia. McGraw-Hill.

 

Supplementary:

Anderson, D.R., et al. (2017). Statistics for business and economics,13e.  Cengage Learning.
Curto, J.D. (2016). Estatística: muitas aplicações em Excel e poucas fórmulas. Edição do Autor.
Keller; G. e Gaciu, N. (2020). Statistics for management and economics. 2e. Cengage Learning EMEA.