Statistics

Code:

EM0020

Acronym:

E

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2009/2010 - 2S

Active?	Yes
E-learning page:	http://moodle.fe.up.pt/
Responsible unit:	Department of Industrial Engineering and Management
Course/CS Responsible:	Master in Mechanical Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
MIEM	201	Syllabus since 2006/2007	2	-	6	56	160
		Plano de estudos de transição para 2006/07	2	-	6	56	160

Teaching language

Portuguese

Objectives

SPECIFIC AIMS:
Provide students with an integrated view of Descriptive Statistics, Elementary Theory of Probability, Random Variables, Probability Distributions, Random Sampling, Confidence Intervals and Hypothesis Testing

LEARNING OUTCOMES:
At the end of the semester, the students should be able to:
- Explain and interpret the main statistical concepts
- Use descriptive statistics tools to analyse sample or populational data
- Solve common problems involving basic theory of probability, random variables, probability distributions, random sampling, confidence intervals and hypothesis testing
- Use spreadsheets to solve descriptive statistics problems

Program

1. Introduction to Statistics: Scope and method;
2. Descriptive statistics: Description of univariate and bivariate samples of quantitative or qualitative data:
3. Basic probability theory;
4. Random variables and probability distributions: distributions of discrete and continuous variables, distribution parameters transformed variables;
5. Joint distribution of two random variables: joint, marginal and conditional distributions, independent variables, covariance and correlation, distribution of functions of two variables.
6. Probability distributions of discrete random variables: the Binomial distribution, the Hypergeometric distribution and the Poisson distribution.
7. Probability distributions of continuous random variables: the Uniform distribution, the Negative exponential distribution, and the Normal distribution, the t distribution, the Chi-square distribution and the F distribution;
8. Random sampling and sampling distributions: distribution of the sample mean. the Central limit theorem, Generation of random smaples;
9. Statistical inference: confidence intervals;
10. Statistical inference: hypothesis tests.
11. Statistical applications: The control chart as a practical application of the hypothesis tests. Introduction to Exploratory Data Analysis.

Mandatory literature

Guimarães, Rui Manuel Campos; Estatística. ISBN: 978-84-481-5589-6
Wonnacott, Thomas H.; Introdução à estatística. ISBN: 85-216-0039-9

Teaching methods and learning activities

Lectures: presentation of the themes of the course illustrated by cases, examples and problems

Tutorial classes: Students can solve and discuss practical exercises and clarify possible doubts about proposed problems.

Software

Microsoft Excel

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	56,00
Group work	Trabalho escrito	10,00		2010-03-26
Mini-exam	Exame	6,00		2010-06-14
	Total:	-	0,00

Amount of time allocated to each course unit

Description	Type	Time (hours)	End date
Exercises	Estudo autónomo	36	2010-06-11
Theoretical concept	Estudo autónomo	36	2010-06-11
Mini-exams' preparation	Estudo autónomo	18	2010-06-14
	Total:	90,00

Eligibility for exams

Article 4 of General Evaluation Rules of FEUP

Calculation formula of final grade

Final grade (CF) is obtained by the following formula:
CF = 0.25 MT1 + 0.30 MT2 + 0.35 MT3 + 0.10 TG

MT1, MT2, MT3: Mini-exams
TG: Group assigment about Descriptive Statistics

Examinations or Special Assignments

Group assigment about Descriptive Statistics

Special assessment (TE, DA, ...)

Exam (0.9) and individual Assignment about Descriptive Statistics (0.1)

Classification improvement

Global improvement: Exam (0.9) and individual Assignment about Descriptive Statistics (0.1)
Partial improvement: It will be possible to improve the grade of one and only one of the Mini-exams in the "Época de Recurso"

Observations

Moodle's forum and email are the main means to clarify doubts. Individual appointments require a prior arrangemment by email. Preferential hours:
- AMG: Monday e Wednesday from 10:00 to 12:30, office I 208