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Higher Polytechnic University College
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Mestrado Universitario en Materiais Complexos: Análise Térmica e Reoloxía (plan 2012)
 Subjects
  Statistical data analysis
   Contents
Topic Sub-topic
The following blocks or topics develop the contents established in the Verification Report, which are: Design of Experiments (Basic Principles, ANOVA model, factorial designs, repeated measurements designs, RyR laboratory design)
Regression Analysis (Simple linear regression, general linear regression: multiple regression, diagnosis of atypical or influential observations, construction of a regression model, nonlinear regression). Applications in thermal analysis and rheology data
I. Exploratory Data Analysis 1.1. Introduction to statistical analysis
1.2. Frequency distributions.
1.3. Graphical plots.
1.4. Characteristic measures: Measures of location, variability and shape.
1.5. Vectors of variables.
1.6. Frequency distribution of bivariate vectors.
1.7. Graphical plots of bivariate vectors.
1.8. Characteristic measures of bivariate vectors.
II. Statistical inference 2.1. Introduction.
2.2. Point estimation.
2.3. Confidence Intervals.
2.4. Hypothesis testing.
III. Regression Models 3.1. Introduction.
3.2. Simple linear regression models.
3.3. Parameter estimation by least squares.
3.4. Properties of the estimators.
3.5. Inference for the parameters.
3.6. Validation of a regression model.
3.7. Correlation.
3.8. Other regression models.
IV. Design and Analysis of Experiments 4.1. Basic principles of design of experiments.
4.2 Planning stages of an experiment.
4.3. Designs with a source of variation. The ANOVA model.
4.4. Designs with several factors. Factorial designs.
4.5. Factorial designs and response surfaces.
4.6. Experimental designs applications to complex materials.
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