Statistics I

Lectures:
Exploratory data analysis, types of variables,
Exploratory analysis of single discrete and continuous variables, summarization of distributions.
Probability theory.
Random variable and probability distribution, expected value operator and moments of probability distribution, joint and conditional distributions.
Probability models for discrete and continuous random variables.
Sampling distributions of the mean, distribution of sample proportion
Central Limit Theorem.
Point and interval estimation.
Hypothesis testing, pure significance tests, p-values Two sample tests, paired difference tests.
One factor analysis of variance, ANOVA table, multiple comparisons, post hoc analysis.
Simple linear regression model, least squares estimation of parameters and properties of the estimates.
Multiple regression models.