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 |