Study programme competencies |
Code
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Study programme competences
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A1 |
A adquisición dos coñecementos de estatística e investigación operativa necesarios para a incorporación en equipos multidisciplinares pertencentes a diferentes sectores profesionais. |
A2 |
Capacidade para comprender, formular, formular e resolver aqueles problemas susceptibles de ser abordados a través de modelos da estatística e da investigación operativa. |
A3 |
Coñecer as aplicacións dos modelos da estatística e a investigación operativa. |
A4 |
Coñecer algoritmos de resolución dos problemas e manexar o software axeitado. |
A5 |
Modelar a dependencia entre unha variable resposta (dependente) e varias variables explicativas (independentes). |
A6 |
Realizar inferencias respecto aos parámetros que aparecen no modelo. |
A7 |
Tratamento de datos e análise estatística dos resultados obtidos. |
A8 |
Capacidade de identificar e resolver problemas que requiran o uso de técnicas da análise de series de tempo. |
A9 |
Obter os coñecementos precisos para unha análise crítica e rigorosa dos resultados. |
A10 |
Complementar a aprendizaxe dos aspectos metodolóxicos con apoio de software. |
A11 |
Adquirir destrezas na formulación e resolución de problemas cuantitativos. |
A12 |
O estudante será capaz de comprender a importancia da Inferencia Estatística como ferramenta de obtención de información sobre a poboación en estudo, a partir do conxunto de datos observados dunha mostra representativa desta. Para iso deberá recoñecer a diferenza entre estatística paramétrica e non paramétrica. |
A13 |
Ser capaz de manexar diverso software (en particular R) e interpretar os resultados que proporcionan estes nos correspondentes estudos prácticos. |
A15 |
Fomentar a sensibilidade cara aos principios do pensamento científico, favorecendo as actitudes asociadas ao desenvolvemento dos métodos matemáticos, como: o cuestionamento das ideas intuitivas, a análise crítica das afirmacións, a capacidade de análise e síntese ou a toma de decisións racionais. |
B1 |
Ser capaz de identificar un problema da vida real. |
B2 |
Dominar a terminoloxía científica-metodolóxica para comprender e interactuar con outros profesionais. |
B4 |
Habilidade para realizar a análise estatística con ordenador. |
B5 |
Escoller o deseño máis axeitado para responder á pregunta de investigación. |
B6 |
Utilizar as técnicas estatísticas máis axeitadas para analizar os datos dunha investigación. |
B7 |
Planificar, analizar e interpretar os resultados dunha investigación considerando tanto os aspectos teóricos coma os metodolóxicos. |
B8 |
Habilidade de xestión administrativa do proceso dunha investigación. |
B9 |
Comunicación e difusión dos resultados das investigacións. |
B10 |
Lectura con xuízo crítico de artigos científicos dende unha perspectiva metodolóxica. |
C3 |
Utilizar as ferramentas básicas das tecnoloxías da información e as comunicacións (TIC) necesarias para o exercicio da súa profesión e para a aprendizaxe ao longo da súa vida. |
C6 |
Valorar criticamente o coñecemento, a tecnoloxía e a información dispoñible para resolver os problemas cos que deben enfrontarse. |
C8 |
Valorar a importancia que ten a investigación, a innovación e o desenvolvemento tecnolóxico no avance socioeconómico e cultural da sociedade. |
Learning aims |
Subject competencies (Learning outcomes) |
Study programme competences |
To be able of planning experiments following a set of suitable stages, identifying all sources of variation, specifying the experimental procedure and the anticipated difficulties, and formulating proper mathematical models. |
AC2 AC3 AC5 AC8 AC11 AC12
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BC1 BC2 BC5 BC8 BC10
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CC6 CC8
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To use statistical software fluently. |
AC4 AC10 AC13
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BC2 BC8 BC9 BC10
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CC3
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To acquire capability to take part from a multidisciplinary team by working on experimental analysis. |
AC1 AC15
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BC2 BC8 BC9
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To be able of performing a critical review of the attained results. |
AC9 AC11
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BC10
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To obtain knowledge on the basic principles of the design of experiments. |
AC3 AC5 AC9
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BC5 BC7
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To manage a broad range of suitable design structures to be able of describing properly the performance of data coming from experimental planning processes. |
AC5 AC11
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BC6
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To know a range of statistical techniques to analyze data coming from the experimental planning processes. Specifically, knowlegede on how performing inference on model parameters. |
AC4 AC6 AC7 AC10 AC13
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BC4
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To know specific procedures to perform a critical and rigorous analysis of the results. |
AC9
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BC10
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To complete the learning process with the support of statistical software. |
AC4 AC10 AC13
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BC4
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Contents |
Topic |
Sub-topic |
1. Basic principles of experimental design. |
1.1. Introduction: Advantages of planning an experiment. Variability sources.
1.2. Basic principles in experimental design.
1.3. Step by step guide to the experimental planing process. A real example.
1.4. Some standard experimental designs. |
2. Designs with one source of variation. |
2.1. Introduction.
2.2. Randomization. Model for a completely randomized design: Estimation of parameters, one-way analysis of variance, inference on contrasts and means.
2.3. Methods of multiple comparisons.
2.4. Checking the adequacy of the model.
2.5. Alternative approaches. |
3. Designs with several sources of variation. |
3.1. Introduction.
3.2. Randomization. The meaning of interaction. Complete model. Main effects model.
3.3. Estimation, analysis of variance, inference on contrasts.
3.4. Sample sizes.
3.5. Checking the adequacy of the model. |
4. Analysis of covariance. |
4.1. Introduction.
4.2. Mathematical models.
4.3. Estimation, analysis of variance, inference on contrasts.
4.3. Checking the adequacy of the model. |
5. Random effects models and mixed models. |
5.1. Random effects: variance components. Examples.
5.2. Mathematical models for random effects models: Estimation and analysis of variance.
5.3. Sample sizes.
5.4. Checking the adequacy of the model.
5.5. Mixed models: los mixtos: Estimation and analysis of variance.
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6. Block designs. |
6.1. Basic concepts.
6.2. Complete block designs: Models, estimatin, analysis of variance, inference on contrasts.
6.3. Incomplete block designs: Balanced incomplete block designs; group divisible designs; cyclic designs. Models, estimation, analysis of variance, inference on contrasts.
6.4. Row-column design: Latin square designs, Youden designs, cyclic and other row-column designs. Models, estimation, analysis of variance, inference on contrasts.
6.5. Alternative approaches. |
7. Nested designs. |
7.1. Introduction.
7.2. Nested designs in two stages..
7.3. Nested designs in m stages.
7.4. Models including both nested and crossing sources of variation. |
8. Split-plot dsigns. |
8.1 Introduction: Motivation and examples.
8.2. Mathematical modrls.
8.3. Estimation and analysis of variance with complete blocks. |
9. Designs with repeated measures. |
9.1. Introduction: Experimental setup.
9.2. Dependence structures for repeated measures.
9.3. Mauchly's test of sphericity.
9.4. Univariate and multivariate analysis. |
10. Factorial designs at two levels.
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10.1. Two levels designs with two factors.
10.2. Two levels designs with three factors.
10.3. Two levels designs for k factors.
10.4. Adding centerpoints in a general design at two levels.
10.5. Algorithm of Yates. |
Planning |
Methodologies / tests |
Ordinary class hours |
Student’s personal work hours |
Total hours |
Guest lecture / keynote speech |
20 |
30 |
50 |
Problem solving |
16 |
24 |
40 |
Case study |
0 |
25 |
25 |
Objective test |
3 |
0 |
3 |
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Personalized attention |
7 |
0 |
7 |
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(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. |
Methodologies |
Methodologies |
Description |
Guest lecture / keynote speech |
Lectures addressed to present the main theoretical and methodological concepts. Additional learning resources will be employed, such as slides showing real study cases and the use of statistical software (mainly R packages). |
Problem solving |
Lectures addressed to solve exercises and practical cases, where students will have an active role and will be gradually introduced in the manage of statistical software. Besides references, lists of exercises and questionnaires will be also provided. |
Case study |
Students should develop one or two practical works related to the subject contents. |
Objective test |
Final exam on the theoretical and practical contents of the subject. This exam consists in answering a list of short questions and/or solving some longer exercises in a reasoned way. |
Personalized attention |
Methodologies
|
Problem solving |
Case study |
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Description |
a) Tutorial sessions where students can receive personalized support to clarify doubts and solve exercises.
b) Tutorial sessions during the development of the practical works. In these sessions, students can receive personalized support to solve doubts, correct mistakes and overcome possible difficulties in the application of theoretical concepts to the study case.
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Assessment |
Methodologies
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Description
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Qualification
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Case study |
Assessment of practical cases. |
30 |
Objective test |
Exam for assessment of knowledge consisting of two parts: (i) Test of knowledge about key concepts for planning and analyzing an experiment (nearly one hour), and (ii) Solving one or two practical exercises with help of the statistical software (nearly two hours).
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70 |
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Assessment comments |
To attain a satisfactory final assessment is required to pass the two aforementioned evaluations (study case and objective test).
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Sources of information |
Basic
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Dean, A. y Voss, D. (1999). Design and Analysis of Experiments. Springer Texts in Statistics, Springer-Verlag, New York
Montgomery, D.C. (2009). Design and Analysis of Experiments. 7a Ed.. J. Wiley and Sons.
Kuehl, R.O. (2001). Diseño de Experimentos. Principios estadísticos para el diseño y análisis de investigaciones. 2a Ed.. Thomson Learning. |
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Complementary
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Berger, P.D. y Maurier, R.E. (2002). Experimental Design With Applications in Management, Engineering, and the Sciences. Belmont, CA: Duxbury Press
Coob, G.W. (1998). Introduction to Design and Analysis of Experiments. Springer-Verlag
Prat, A., Tort-Martorell, X., Groma, P. y Pozueta, L. (1997). Métodos estadísticos. Control y mejora de la calidad. Edicions UPC (Universitat Politécnica de Catalunya)
Gibbons, J.D. y Chakraborti, S. (1992). Nonparametric Statistical Inference, 3a. Ed.. Marcel Dekker, New York
Box, G.E.P., Hunter, W.G. y Hunter, J.S. (2005). Statistics for Experimenters: Design, Innovation, and Discovery. 2a. Ed. Wiley, New York.
Cox, D. y Reid, N. (2000). The Theory of the Design of Experiments. Monographs on Statistics and Applied Probability. Chapman & Hall CRC Press |
Vikneswaran (2005) An R companion to "Experimental Design'' URL http://CRAN.R-project.org/doc/contrib/Vik-neswaran-ED-companion.pdf. |
Recommendations |
Subjects that it is recommended to have taken before |
Estatística Aplicada/614427104 |
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Subjects that are recommended to be taken simultaneously |
Modelos de Regresión/614427105 | Análise Multivariante/614427114 | Control Estatístico da Calidade/614427121 |
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Subjects that continue the syllabus |
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Other comments |
To obtain a satisfactory assessment of this subject is highly recommended regular attendance and active participation at lectures. It is also important to complete exercises and practical applications proposed in the development of the classes, in particular when lectures cannot be regularly attended. Previous knowledge of the basic principles of statistical inference and of the R package eases the learning of the subject. Also, solving questionnaires and list of exercises and taking advantage of the personalized tutorial sessions will be particularly helpful. |
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