﻿ Statistics for Decision-Making - Mestrado em Auditoria e FinançasInstituto Politécnico de Tomar

# Auditoria e Finanças

## Statistics for Decision-Making

Publication in the Diário da República: Despacho n.º 10361/2016 - 17/08/2016

5 ECTS; 1º Ano, 1º Semestre, 30,0 TP , Cód. 39255.

Lecturer
- Ricardo Jorge Viegas Covas (2)
- João Manuel Mourão Patrício (1)(2)

(1) Docente Responsável
(2) Docente que lecciona

Prerequisites
Not applicable

Objectives
It is intended to provide students with complementary knowledge in the area of Statistics and Optimization. In particular, linear regression, analysis of time series and linear programming that allow them to approach, together with the competences of the other curricular units, research in the different scientific areas of the course.

Program
Chapter I - Descriptive statistics
i) Location and dispersion measures
ii) Measures of order and form
Chapter II  Correlation and Simple Linear Regression
i) Correlation and independence
ii) Least Squares Method
iii) Analysis of variance: ANOVA
iv) Assessment of the quality of the adjustment
Chapter III - Multiple Linear Regression
i) Validation of model assumptions
ii) Selection of variables
iii) Collinearity diagnostics
v) Response prediction
Chapter IV - Time series
i) Components of a time series
ii) Auto-regressive models
Chapter V - Linear programming
i) Formulation of Linear and Integer Programs
ii) Simplex Method for Linear Programming
iii) Transportation and Affection Problems

Evaluation Methodology
Continuous assessment consists of an assessment test on chapters I, II, III and IV of Statistics (70%) and an assessment test on chapter V of Linear Programming (30%). If the student obtains at least 10 values (out of 20 possible values) is approved in the curricular unit and exempted from taking the exam.
If the student was admitted to the exam or was dismissed, but wants to improve his / her classification, he / she can take the exam of the normal season - a written test (classified from 0 to 20 points) on all the taught material.
If the student failed the exam of the normal season, he/she can take the exam of the appeal season - test with the same rules of the normal season.

Bibliography
- Hillier, F. e Lieberman, G. (2010). Introduction to Operations Research. New York: McGraw-Hill
- Magalhães, A. e Guerreiro, J. e Ramalhete, M. (1994). Programação Linear. Lisboa: McGraw-Hill
- Mann, P. (2011). Introductory Statistics. New York: John Wiley & Sons, Inc.
- Maroco, J. (2007). Análise Estatística com utilização do SPSS. Lisboa: Edições Sílabo

Teaching Method
In the Theoretical-Practical sessions, the programmed contents are taught, using support material, as well as exercises to apply the acquired concepts, using specific software when possible.

Software used in class
Excel spreadsheet, IBM SPSS statistical package and GAMS modeling package.