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Quantitative Methods I

Code 15790
Year 1
Semester S1
ECTS Credits 6
Workload T(15H)/TP(30H)
Scientific area Mathematics
Entry requirements ---
Learning outcomes At the end of the curricular unit, the student should be able to:
1 - Understand and apply statistical methods in the analysis of the different types of data.
2 - Use the program SPSS in the statistical analysis of data.
3 - Produce and organize the results of a statistical analysis of data.
4 - Analyze and criticize studies and/ or articles in the textile engineering area that satisfy the learning outcomes.
5- Identify the probabilistic models, their properties, and their applications to textile engineering.
Syllabus Chapter I) Descriptive Statistics
-Variable Classification and measure scales.
-Creation of databases in SPSS;
- Frequency tables of unidimensional/ bidimensional variables;
-Graphic representations;
- Measures of central tendency, dispersion, skewness, and kurtosis;
Chapter II) Correlation and Simple Linear Regression
- Pearson Correlation coefficient;
-Scatter Plot;
-Linear Regression;
Chapter III) Probabilities theory;
--random experiments, sample spaces, events;
--Axiomatic definition of Probability and respective properties;
--conditional probability;
-Random variables (discrete/continuous);
- distribution function and probability function (probability density function);
-Expected value and variance of a random variable;
-Binomial distribution;
-Poisson distribution;
-Normal distribution.
Main Bibliography 1 - J.R. Nagla, Statistics for textile engineers, Woodhead Publishing India (2014)
2 - João Maroco, Análise Estatística com o SPSS Statistics (2021)
Teaching Methodologies and Assessment Criteria During lectures, the syllabus will be presented. With the aid of some practical examples.
The practical lessons will be given in classes with computers. The students will work in SPSS using several databases. The goal is to put into practice what they learned in the lectures.
Regarding the evaluation is proposed the realization of 2 small tests (4 values each), a practical work (4 values), and a final test (8 values). The final test contains the subjects that weren’t evaluated in the small tests. All evaluation tests should be carried out using SPSS.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2024-01-18

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