Probabilistic and Statistic Methods

1 - The language of statistics. 2 - The representation of data Organization of data and graphical representations. 3 - Data descriptors Measures of central tendency (mean, median mode) Measures of dispersion or variation. 4 - Bivariate analysis of data Bivariate analysis with qualitative and quantitative data. 5 - The probability The laws of probability. 6 - Random variables and probability distributions Random variables The binomial distribution The normal distribution. 7 - Sampling distributions and confidence intervals The most common estimators Desirable properties of an estimator Distribution of sample mean, The Central Limit Theorem Confidence intervals for the mean. 8 - The hypothesis testing: fundamentals The hypothesis test Stages of a hypothesis test Two-tailed tests Test for the average. 9 - Still about inference, Test on a single population hypothesis on the average hypothesis on a single proportion. 10 - Comparing two populations Test of hypothesis on the difference between the means of two populations - With independent samples - With dependent samples. 11 - Regression Analysis The simple linear regression model The inference in the case of linear regression model Confidence intervals and prediction intervals Correlation analysis. 12 - Analysis of Variance Principles of analysis of variance Fisher F distribution test for Anova.