Course: 2024/2025

Statistics for data analysis

(17229)

Basic skills
To achieve and understand the knowledge that provide foundations or changes of being original in the development and/or application of ideas, often in a context of research
To learn habilities that allow oneself to continue studying in a self-sufficient way.
General skills
To apply the theoretical foundations of data collection techniques, storage, treatment and presentation of the information, specially for large data sets, as a basis for the development and adaptation of these techniques to specific problems.
Specific skills
To use the advanced knowledge in Linear Algebra for its application in the analysis of large data sets.
Apply basic concepts of programming and data bases in the learning process of technologies and advanced methods for the treatment of large data sets.
To employ the basic results ol inference and regression as foundations for the advanced methods of prediction and classification
Learning achievements:
- Using the tools of Linear Algebra (matrices, factorization) and Calculus (multidimensional integration) in the design and analysis of methods for treatment of data
- Habilities for the application of the basic statistical techniques (different data displays, probabilities, distributions, sampling, estimation) to data analysis.
- Knowledge and use of basic programming concepts, structured programming, design of algorithms and relational data bases for the development of applications for the treatment of data.

Skills and learning outcomes

Description of contents: programme

1 Descriptive statistics
1.1. Introduction to Statistics
1.2. Description of one variable
1.3. Relation between two variables
1.4. Variable transformations
2 Probability theory
2.1. Introduction to Probability
2.2. Discrete random variables
2.3. Continuous random variables
2.4. Transformations of random variables
3. Statistical inference
3.1. Estimation methods
3.2. Inference under normality assumptions
3.3. Inference for large samples
3.4. Chi-square tests
3.5. Correlation and dependence

Learning activities and methodology

Learning activities:
Theoretical lessons
Exercises
Practical lessons in class using the computer
Individual project
Teaching methodologies:
Presentations of the professor in class with computing and visual media, where the professor develops the mail concepts of the subject and provides bibliography supplementing the knowledge of students.
Solving practical case studies, problems, etc., proposed by the professor either individually or in groups

Assessment System

- % end-of-term-examination 40
- % of continuous assessment (assigments, laboratory, practicals...) 60

Calendar of Continuous assessment

Basic Bibliography

- Dalgaard, Peter. Introductory statistics with R. Springer. 2008
- Michael W. Trosset. An Introduction to Statistical Inference and Its Applications with R. Chapman and Hall/CRC . 2009
- Ugarte, María Dolores. Probability and statistics with R . CRC Press. 2008

The course syllabus may change due academic events or other reasons.