Educational guide Faculty of Oenology |
english |
Bachelor's Degree in Biotechnology (2009) |
Subjects |
STATISTICS |
Contents |
IDENTIFYING DATA | 2018_19 |
Subject | STATISTICS | Code | 19204004 | |||||
Study programme |
|
Cycle | 1st | |||||
Descriptors | Credits | Type | Year | Period | ||||
6 | Basic Course | First | 1Q |
Competences | Learning outcomes | Contents |
Planning | Methodologies | Personalized attention |
Assessment | Sources of information | Recommendations |
Topic | Sub-topic |
1. Introduction to data analysis. | 1.1. Concept of Statistics. Contents of Statistics. 1.2. Concept of population, sample, individual and random variable. 1.3. Classification of the statistical variables. 1.4. Position parameters. 1.5. Dispersion parameters. |
2. Random variables. | 2.1. Concept of probability and properties. 2.2. Concept of random variable. 2.3. Discrete random variables: probability function and distribution function. 2.4. Continuous random variables: density function and distribution function. 2.5. Expected value. 2.6. Variance. |
3. Models of probability distribution. | 3.1. Discrete distributions: Bernoulli, binomial, Poisson, uniform. 3.2. Continuous distributions: uniform, exponential, normal. 3.3. General normal law. Reduced normal law: N(0,1). 3.4. Distributions deduced from the normal: khi-squared, Student’s t and Snedecor’s F. 3.5. Convergence to the normal law: central limit theorem. 3.6. Use of statistical tables. |
4. Theory of estimation. | 4.1. Concept of estimator and parameter. Point estimation and interval estimation. 4.2. Properties of estimators: bias, efficiency and consistency. 4.3. Some methods of estimation: method of moments and method of maximum likelihood. 4.4. Notion of confidence interval. Confidence coefficient. 4.5. Determination of confidence intervals for: a mean, a difference between means, a variance, a ratio between variances, a proportion and a difference between proportions. |
5. Hypothesis testing. | 5.1. Statistical hypotheses. Types of hypotheses. 5.2. Concept of critical region and acceptance region. 5.3. Types of errors. Power of a test. Significance level. 5.4. Applying hypothesis testing to: a mean, a difference between means, a variance, a ratio between variances, a proportion and a difference between proportions. |
6. Analysis of variance. | 6.1. General concepts about the analysis of variance. 6.2. One-way design. 6.3. Two-way design without interaction. Random blocks. 6.4. Two-way design with interaction. |
7. Linear regression. | 7.1. Simple linear regression model. 7.2. Estimation of the regression line by the least squares method. 7.3. Goodness-of-fit measures. 7.4. Significance testing. 7.5. Prediction intervals. 7.6. Non linear regression. 7.7. Multiple linear regression. |
8. Numerical methods. | 8.1. Error analysis. 8.2. Zeros of functions. 8.3. Solving systems of linear equations. 8.4. Numerical integration. 8.5. Numerical solution of differential equations. |