Advanced Topics in Experimental Delineation

Code: MAT11706D

6 ECTS

Duration: 15 weeks/156 hours

Scientific Area: Mathematics

Teaching languages: Portuguese

Languages of tutoring support: Portuguese

Presentation

The topics covered allow to understand the basic principles of experimental design. To be able to plan an experiment and to analyse the corresponding results using linear models and the software R.

Sustainable Development Goals

4. Educação de qualidade - Assegurar a educação inclusiva, e equitativa e de qualidade, e promover oportunidades de aprendizagem ao longo da vida para todos.

Learning Goals

Objectives:
To study basic principles and concepts of experimental design and to provide students with essential statistical tools in the analysis of several experimental designs.
Competences:
To develop student’s capacity to selected and organize information, in a critical way.
To understand some fundamental statistical tools of experimental designs.
To validate different parametric approaches based on their objectives.
To recognize and to know how and when to apply nonparametric approaches.
To stimulate autonomous learning and adaptation to new situations.

1. Theory and practice of experimental design. Complete and balanced incomplete block designs. Latin square designs.
2. Factorial designs and fractional factorial designs.
3. Split-plot designs. Split-Block designs. Repeated measures and their relationship with the Split-Plot designs and Split Block designs.
4. Lattice Designs.
5. Crossover Designs.
6. Response Surface Methods.

Teaching Methods

Theoretical-practical lessons mainly lectured with a blackboard, with e-learning tools, and transparencies. The motivation of students attendance to the classroom and students continuous work.
Introduction to theoretical concepts appealing to different areas of applications to illustrate the importance of course contents. Exercises with an emphasis on the resolution of real problems, to motivate interest in the course and to demonstrate its utility.
To stimulate individual and group participation within the classroom and at home.
To emphasize the critical analysis and interpretation of data, appealing to software outputs as much as possible.

Evaluation:
To privilege continued evaluation carrying out one test (50%) plus individual/group homework projects (50%). If the continuous evaluation is not feasible for the student, a final examination is possible, but the individual/group project is still required although with lesser weight for final grade (25%).

Assessment

To privilege continued evaluation carrying out one test (50%) plus two individual/group homework projects (50%). If continuous evaluation is not feasible for the student, a final examination (75%) is possible, but the individual / group project is still required although with lesser weight for final grade (25%). In the test, the student must have a grade greater than 8.