Statistics

Code:

EC0030

Acronym:

ESTA

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2006/2007 - 2S

Active?	Yes
Responsible unit:	Mathematics Division
Course/CS Responsible:	Master in Civil Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
LEC	5	Plano de estudos de transição para 2006/07	2	6,5	6,5	60	174
MIEC	314	Syllabus since 2006/2007	2	-	6,5	60	174
		Plano de estudos de transição para 2006/07	2	-	6,5	60	174

Teaching language

Portuguese

Objectives

To induce an educational background for other following subjects in the curricula. To give solid knowledge for future developements at the specialization level as well as at the professsional level. To prepare the student for the use of probabilistic and statistical language and to be able to comunicate when dealing with subjects in which Probabilities and Statistics take part, ensuring that a correct interiorization of concepts is achieved. To educate the student to be able to translate his reasoning into mathematics when analysing real world problems and adequately formulate these problems. To educate the student in techniques that can be used in order to solve these problems.

Program

Introduction to the statistical method (Sampling, statistical description of data and statistical inference). Descriptive statistics: univariate distributions; bivariate distributions, dependency between statistical variables (shape, minimum square method, regression line, correlation coeficient). Probability spaces (generalization of concepts, axioms, and properties).
Unidimensional random variables: discrete and continuous; dsitribution functions; probability functions; probability density functions; brief reference to variable transformations; mathematical expectation; moments and order parameters.
Two-dimensional random variables: joint distribution, marginal distributions and conditional distributions; independence; mathematical expectation of vectors.
Typical distributions: discrete and continuous; properties of Gaussian low. Approximations of distributions: Central Limit Theorem and most known approximations. Estimation: estimators for the mean, the variance and the linear correlation coefficient; confidance intervals.
Hypothesis testing: philosophy of testing; parameter testing; goodness of fit testing.

Mandatory literature

Montgomery, Douglas C.; Applied Statistics and Probability for Engineers. ISBN: 0-471-17027-5

Complementary Bibliography

Paulino, C.D. e Branco, J.A.; Exercícios de Probabilidade e Estatística, Escolar Ed, 2005
Sá, Joaquim Pontes Marques de; Applied statistics using SPSS, STATISTICA and MATLAB. ISBN: 3-540-01156-0
Pestana, Dinis Duarte; Introdução à probabilidade e à estatística. ISBN: 972-31-0954-9
Murteira, Bento 070; Introdução à estatística. ISBN: 972-773-116-3
Oliveira, J. Tiago de; Probabilidades e estatística. ISBN: 972-9241-20-1
Moore, David S.; Introduction to the Practice of Statistics. ISBN: 0-7167-1989-4

Teaching methods and learning activities

It is essentially a formative subject, coordinating fundamental theoretical knowledge with some approaches which are necessary in the subjects placed ahead in the curricula. At this level it is important to develop intuitive concepts as well as computational ability. The concepts are exposed in a clear and objective way, making frequent use of examples of physical or geometrical nature. The use of statistical software is encouraged, as a working tool, namely through the execution of 2 working projects in the computer room (1 hour duration each). A total of 4 sessions are held in the computer rooms or have intensive use of calculators.

Software

splus
SPSS 15
Excel

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Subject Classes	Participação presencial	56,00
	Total:	-	0,00

Eligibility for exams

Limitations are fixed according to the decisions of the Scientific Board of the course

Calculation formula of final grade

E: classification in the writting paper
P: total classification in the 2 working projects

final classification = 0.800 * E + 0.200* P

Examinations or Special Assignments

Non applicable

Special assessment (TE, DA, ...)

The working projects are compulsory also for students helding special status with respect to attending classes. For these students a second oportunity is held the same day of the writting paper of the TE exam schedual.

Classification improvement

A special test is held the same day of the final exam, to improve the continuous evaluation component, if required by the student. Otherwise only the writting paper component is subject to improvement classification