Statistical Methods

Code:

M2015

Acronym:

M2015

Level:

200

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2018/2019 - 1S

Active?	Yes
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Chemistry

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:B	0	Official Study Plan	3	-	6	56	162
L:F	0	Official Study Plan	2	-	6	56	162
L:G	2	study plan from 2017/18	2	-	6	56	162
			3
L:Q	54	study plan from 2016/17	2	-	6	56	162
			3

Teaching language

Portuguese

Objectives

An Introductory course in Probability and Statistics: acquisition of basic concepts of Probability and Statistics and their application to concrete situation

Particular attention is paid to the presentation and understanding of the concepts, keeping the mathematical treatment on an elementary level.

 

Learning outcomes and competences

On completing this curricular unit it is expected that the student:

1. can understand the concepts involved in a statistical study and be aware of the various problems that arise in each particular study.
2. can identify and apply appropriate techniques of descritive statistics to organize and summarize data and interpret them;
3. dominates the probability calculus and knows to calculate probabilities associated with the phenomenon under study;
4. be able to characterize random variables and identify the respective probability distributions;
5. be able to make inferences on population parameters applying techniques of point and interval estimation.
6. be able to understand the general procedures for applying a hypothesis test.

Working method

Presencial

Program

1. Basic concepts in Statistics: Populations and samples; the role of randomization; observational and experiment studies; statistical variables.

2. Descriptive Statistics: fundamental concepts and tecniques for summarizing data.

3. Probability Theory: fundamental concepts, probability interpretations, independence of events and conditional probability, Bayes’ and total probability theorems.

4. Random Variables: characterization, discrete and continuous models;  Discrete distributions:  binomial and poisson distributions; the uniform, normal distributions, student's t distribution and  chi-squared distribution.  Central limit theorem.

5. Sample distributions.

6. Statistical Inference: point estimation,  interval estimation,hypothesis testing.

 

Mandatory literature

Montgomery Douglas C.; Applied statistics and probability for engineers. ISBN: 0-471-17027-5
Wild Christopher J.; Chance encounters. ISBN: 0-471-32936-3
Murteira Bento; Introdução à estatística. ISBN: 972-773-116-3
Cordeiro Natália; Magalhães Alexandre; Introdução à estatística; Uma perspectiva química, LIDEL-Edições Técnicas, 2004. ISBN: ISBN: 972-757-276-6
Samuels Myra L.; Statistics for the life sciences. ISBN: 978-0-13-122811-5 0-13-122811-0

Teaching methods and learning activities

Theoretical lectures with exposition of the course contents.

Practical classes for solving exercises related to each theorietical topic. Support in clarifying theoretical and/or practical problems.

Software

R (opcional)

keywords

Physical sciences > Mathematics > Statistics
Physical sciences > Mathematics > Probability theory

Evaluation Type

Evaluation with final exam

Assessment Components

designation	Weight (%)
Exame	100,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	106,00
Frequência das aulas	56,00
Total:	162,00

Eligibility for exams

No restrictions.

Calculation formula of final grade

The approval of the discipline can be obtained

1) by performing two tests. In this case, it is mandatory to obtain a minimum score of 7 points in each of them and the average (see calculation *) of the marks obtained in the two frequencies must be  greater than or equal to 10.

* In this case, the student's final grade is: 0.4x T1 + 0.6xT2 where, T1 = first test score and T2 = second test score.

Only students who have obtained a score of 7 or higher in the 1st test can take the 2nd test.

2) by final exam (normal time or resource).

Students who have passed the course for the tests and have not obtained the desired result can take the normal period exam. In this case, students will have to choose, at the time of delivery of the exam, to do away with the classification already obtained in the evaluation by tests (indicating in the exam the desired option).

 
Students with a final mark of 17.5 values  or higher (obtained in the tests or in any of the exam periods) may have to perform a complementary written or oral exam in order to obtain a score greater than or equal to 18 values.

 

Examinations or Special Assignments

Exams under speacial conditions will consist of a written test or oral test  which can be preceded by an oral eliminatory exam.