Statistical Methods

Code:

L.EIC020

Acronym:

ME

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2023/2024 - 2S

Active?	Yes
Responsible unit:	Department of Informatics Engineering
Course/CS Responsible:	Bachelor in Informatics and Computing Engineering

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L.EIC	336	Syllabus	2	-	4,5	39	121,5

Teaching language

Portuguese

Objectives

This course unit aims to provide students with an integrated vision of the basic concepts and techniques of Statistics.

Learning outcomes and competences

At the end of this course unit, students should be capable of:

-using methods to explore, summarize and present data;

- using statistical inference methods.

Working method

Presencial

Program

1. INTRODUCTION TO STATISTICS: Data and observations. Populations and samples. Statistical method.


2. DESCRIPTIVE STATISTICS: Types of data and measure scales. data characterization and representation.


3. PROBABILITIES: Random experiments. Sampling spaces and events. Probability, conditional probability and independence. Total Probability Theorem and Bayes Theorem.


4. RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS: Random variables. Discrete and continous random variables. probability, probability density and cumulative probability functions. Population parameters. Covariance and correlation. Transformed variables.


5. MAIN DISCRETE AND CONTINUOS DISTRIBUTIONS: Binomial and normal distributions. Student t distribution. 


6. SAMPLING AND SAMPLING DISTRIBUTIONS: Sampling and random sampling. Sampling distributions. Central Limit Theorem. 


7. ESTIMATION AND CONFIDENCE INTERVALS: Estimators and estimates. Confidence Interval. Confidence intervals for expected values and proportions. Sample size determination. 


8. STATISTICAL HYPOTHESIS TESTING: Hypothesis testing methodology. Significance level and statistical power (Type I and Type II errors). t-tests. Relationship between Hypothesis Testing and Confidence Interval. Hypothesis Testing concerning expected values and proportions. Qualitative data and Hypothesis Testing; non-parametric tests; Chi-square tests: Adjustment, homogeneity and independence tests.

Mandatory literature

A. Miguel Gomes e José F. Oliveira; Estatística - Apontamentos de Apoio às Aulas, 2018
Rui Campos Guimarães e José António Sarsfield Cabral; Estatística, 2ª edição, Verlag Dashofer, 2011. ISBN: 978-989--642-108-3

Complementary Bibliography

Devore Jay L.; Modern mathematical statistics with applications. ISBN: 978-1-4614-0390-6
Nathan Tintle, Beth L. Chance, George W. Cobb, Allan J. Rossman, Soma Roy, Todd Swanson, Jill VanderStoep; Introduction to Statistical Investigations, Wiley, 2015. ISBN: 978-1-119-15430-3
Wonnacott Thomas H. 1935-; Introductory statistics. ISBN: 0-471-51733-X

Teaching methods and learning activities

Theoretical classes: presentation of the course unit themes followed by examples and problem solving

Theoretical-practical classes: problem solving and clarification of doubts

keywords

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

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation	Weight (%)
Teste	100,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Estudo autónomo	82,50
Frequência das aulas	39,00
Total:	121,50

Eligibility for exams

Course registration is the only requirement.

Calculation formula of final grade

The distributed evaluation consists of two tests to be performed on dates to be defined at the beginning of the semester.
The Final Classification (CF) obtained in the first exam period (Época Normal) is the weighted average of the classifications obtained in the tests (the first test has a weight of 0.4 and the second one a weight of 0.6). There is no minimum grade on any of the tests to be approved in the curricular Unit (UC). 

Any student enrolled in the UC, can use the Época de Recurso, either for approval or to improve their classification. The exame in the Época de Recurso has two independent parts: Part I corresponding to the first test and Part II to the second one.

To succeed in the UC, it is necessary to obtain in any of the exam periods, a Final Classification greater than or equal to 9.5 values (CF ≥ 9.5).

Any student can choose not to submit to the distributed evaluation and obtain the Final Classification (CF) performing only the exame in the second examination period (Época de Recurso). 

In the Época de Recurso, students can choose to take only one part of the exam, maintaining the test classification corresponding to the other part.
In this case, the CF will also be the weighted average of the obtained classifications.

Both in the Época Normal and in the Época de Recurso, a student with a final grade equal to or greater than 17.5 (CF ≥ 17.5) may eventually have to take an extra exam (oral or written). If he chooses not to do it, his Final Classification will be 17 (CF = 17).

No conditions are imposed on enrolled students for access to any assessment test/exam.

Special assessment (TE, DA, ...)

Special evaluations will be made by a written exam.

Classification improvement

The general regulation of the UP evaluation applies.