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Teaching GuideTerm Higher Polytechnic University College |
| Grao en Enxeñaría Naval e Oceánica |
 Subjects |
| Statistics |
| Contents |
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| Identifying Data | 2019/20 | |||||||||||||
| Subject | Statistics | Code | 730G05012 | |||||||||||
| Study programme |
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| Descriptors | Cycle | Period | Year | Type | Credits | |||||||||
| Graduate | 1st four-month period |
First | Basic training | 6 | ||||||||||
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| Topic | Sub-topic |
| The following topics develop the contents established in the tab of the Memoria de Verificación, which are: | Statistical data analysis. Probability calculation. Point estimation and confidence intervals. Hypothesis testing. Introduction to quality control. |
| Description of a statistical variable. | General Concepts. Frequency distributions. Graphical representations. Typical measures. |
| Description of several statistical variables. | Statistical vector. Linear regression. correlation. |
| Probability. | General Concepts. Axiomatic definition of Kolmogorov. Assigning probabilities: Laplace rule. |
| Conditional probability. | Definition of conditional probability. Independence of events. Theorems product, the total probability and Bayes. |
| One-dimensional random variables. | Concept of one-dimensional random variable. Discrete random variables and continuous. Transformation of random variables. Typical measures of a random variable. Inequality of Tchebychev. |
| Significant distributions Discreet. | Notable discrete random variables: discrete uniform distribution. Distribution Bernoulli. Binomial distribution. Geometric Distribution. Negative binomial distribution. Poisson distribution. hypergeometric distribution |
| Significant distributions continuous. | Continuous random variable notable: normal. The central limit theorem. Approach Distributions. Chi-square distribution of Pearson. Student's t-distribution. Distribution F Fisher-Snedecor. |
| Introduction to Statistical Inference. | General Concepts. Sampling. Generation of random variables. Concept of precise estimator. The sampling distribution of a statistic in precise. |
| Point estimation. | Properties of estimates. Methods of obtaining estimates. Precise estimate of the average. Precise estimator of the variance. Precise estimate of proportion. |
| Estimation of confidence intervals. | Concept of confidence interval. Confidence intervals for the mean. Confidence interval for the variance. Confidence interval for a proportion. Confidence intervals for the difference in averages. Confidence interval for the ratio of variances. Confidence interval for the difference in proportions. |
| Hypothesis tests | General Concepts. The critical significance level and a contrast. Power of a contrast. General procedure of hypothesis testing. Resistances for the medium. Contrast to the variance. Contrast to a ratio. Contrasts for the difference in averages. Contrast to the ratio of variances. Contrast to the difference in proportions. Contrasts position. Goodness-of-fit. Test of independence. Homogeneity tests. |
| Introduction to statistical quality control | Basic concepts. Six Sigma Methodology. Main statistical quality control tools |
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