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Applied Statistics II
Courses Degree in Mathematics and Applications | Degree in Mathematics Applied to Management
Cod: 21042
Department: DCET
ECTS: 6
Scientific area: Mathematics
Total working hours: 156
Total contact time: 26

The aim of this course unit is to complement the knowledge acquired in Statistics I. The program starts with the study of linear regression, ANOVA and application of Inference to the parameters. We also seek to investigate advanced techniques for the comparison of levels in problems involving one factor and one, two or three sources of variation, such as the completely randomized designs, Randomized Block Designs and Latin squares Designs, respectively.

Linear Regression
Statistical Inference
ANOVA
Latin Squares

In the course unit Applied Statistics II, students will be able to interpret and solve problems involving the adjustment of linear regression models, as well as the realization of one or more factors comparisons with multiple levels. At the end of the course, skills have been acquired that will enable the student to be able to identify and analyze Completely Randomized Designs, Randomized Block Designs and Latin Square Designs.
 

1. Linear Regression and statistical inference
2. Analysis of Variance applied to Linear Regression
3. Review of Analysis of Variance One-Way layout
4. Two-way layout Analysis of Variance
5. Completely Randomized Designs
6. Randomized Block Designs
7. Latin Square Designs

[1] T. Oliveira: Estatística Aplicada, capítulos 5-8. Edições Universidade Aberta, 2004.
[2] D. C. Montgomery: Design and Analysis of Experiments, 5th Ed, Wiley, 2001.
[3] S.H. Toutenburg:  Statistical Analysis of Designed Experiments, Third Edition, Springer Texts in Statistics, 2009.

E-Learning.

Continuous assessment is privileged: 2 digital written documents (e-folios) during the semester (40%) and a final digital test, Global e-folio (e-folio G) at the end of the semester (60%). In due time, students can alternatively choose to perform one final exam (100%).

Pre-requisites: The student must have basic knowledge of Applied Statistics I (UC 21041).