| Educational guide School of Chemical Engineering |
english |
| Bachelor's Degree in Mechanical Engineering (2010) |
 Subjects |
| STATISTICAL METHODS IN ENGINEERING |
| Contents |
| IDENTIFYING DATA | 2023_24 |
| Subject | STATISTICAL METHODS IN ENGINEERING | Code | 20224008 | |||||
| Study programme |
|
Cycle | 1st | |||||
| Descriptors | Credits | Type | Year | Period | ||||
| 6 | Basic Course | Second | 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 statistical variable. 1.3. Classification of statistical variables. 1.4. Distribution of frequences. Graphical representations. 1.5. Grouping data in intervals. 1.6. Position parameters. 1.7. 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. Mathematical expectation. 2.6. Variance. |
| 3. Probability distribution models | 3.1. Discrete distributions: Weibull, 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 distribution: chi-squared, Student's t and Fisher's F. 3.5. Convergence to the normal law: central limit theorem. 3.6. Use of statistical tables. |
| 4. Confidence intervals | 4.1. Notions of sample and sampling. 4.2. Concept of statistic and parameter. 4.3. Point estimation and interval estimation. 4.4. Notion of confidence interval. Confidence coefficient. 4.5. Determination of confidence intervals. 4.6. Applying confidence intervals to process control. |
| 5. Hipothesis testing | 5.1. Statistical hipotheses. Types of hipotheses. 5.2. Concept of critical region and acceptance region. 5.3. Types of errors. Significance level. 5.4. Applying hipothesis testing. 5.5. Reception control. |
| 6. Analysis of variance | 6.1. General concepts about 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 using the least squares method. 7.3. Goodness-of-fit measures. 7.4. Significance testing. 7.5. Prediction intervals. 7.6. Nonlinear regression. 7.7. Multiple linear regression. |
