Inferential Statistics

Base Knowledge

Attendance at Probability and Statistics classes is recommended.

Teaching Methodologies

The classes are designed, according to the curriculum plan, to be both theoretical and practical. In the theoretical part of the lesson, the interactive expository method will be frequently used to introduce concepts, fundamental results, and methods, in order to encourage active participation by all students. The practical part will be designed to problem-solving, under the guidance of the teacher. The two parts will be interspersed in a sequence that optimizes the acquisition of skills.

Support materials are available on the Nonio platform.

Learning Results

The statistics has, in the management area, a large number of applications, playing an important role in decision making in contexts of uncertainty. Thus, it is intended to provide students with as complete information as possible on the following topics: estimation, hypothesis testing and analysis of variance.

It is intended that students will be able to identify and apply the appropriate statistical inference methods to each specific real situation in business contexts and institutions in general.  

 At the end of the semester, the student must be able to solve problems involving the main concepts of inferential statistics, namely, onstructing a confidence interval for a population parameter and applying a parametric or a non-parametric hypothesis test.

Program

1 – Introduction to Inferential Statistics

 1.1  Important probability distributions in Inferential Statistics: Normal, Chi-Square, t-Student, F- Snedecor

1.2    Central Limit Theorem

1.3    Population and sample

1.4    Parameters and statistics

 

2 – Point Estimation

2.1    Introduçtion

2.2    Point Estimation Methods

2.3    Properties of point estimators: centricity; consistency; efficiency.

 

3 – Interval Estimation

3.1    Introduction

3.2    Definition of confidence interval

3.3    Confidence interval for a mean, confidence interval for a variance, confidence interval for a proportion, confidence interval for the difference between means.

 

4 – Hypothesis Testing. 

4.1 Introduçtion

4.2 Hypothesis test methodology

4.3 Errors and their probabilities

4.4 Parametric tests. Test for one or two populations: one mean, one variance and one proportion, equality of two means, equality of two proportions and quocient of two variances.

4.5 Nonparametric tests: chi-square test for independence and chi-square test for  goodness of fit

 

5 – Analysis of Variance

 5.1 Introduction

5.2 One-Way ANOVA

5.3 Two-Way ANOVA

Curricular Unit Teachers

Internship(s)

NAO

Bibliography

Main Bibliography

Curto, J.D. (2019). Potenciar os Negócios? A Estatística Dá uma Ajuda! (Muitas Aplicações em Excel e poucas fórmulas…), 3.ª Edição. Edição do Autor.
Murteira, B., Ribeiro, C.S., Silva, J.A., Pimenta, C., & Pimenta, F. (2023). Introdução à Estatística, 4.ª Edição. Escolar Editora.
Lisboa, J.V., Augusto, M.G. e Ferreira, P.L. (2012). Estatística Aplicada à Gestão. Vida Económica.
Alwan, L.C., Craig, B.A., & McCabe, G.P. (2020). The Practice of Statistics for Business and Economics, 5th Edition. MacMilan.
Slides produced by the professor.

Complementary Bibliography

Albright, S.C,. & Winston, W.L. (2019). Business Analytics: Data Analysis and Decision Making, 7th Edition. Cengage Learning.
Anderson, D.R., Sweeney, D.J., Williams, T.A., Camm, J.D., & Cochran, J.J. (2019). Statistics for Business & Economics, 4th Edition. Cengage Learning.