contents
0. SOFTWARE r - BRIEF INTRODUCTION
1. PROBABILITY
Conditional probability. Multiplication Rule. Independent events.
2. PROBABILITY DISTRIBUTIONS
Notion of random variable
Discrete random variable. Probability and distribution functions. Mean value and
variance. Properties
Binomial and Poisson Distributions
Continuous random variable. Probability and distribution functions. Mean value
and variance. Properties
Uniform, Exponential and Normal Distributions
Central Limit Theorem
3. SAMPLING
Population and sample
Random sample
Distribution of the sample mean
Sample proportion
4. PARAMETER ESTIMATION
Confidence intervals for mean and differences of means.
Confidence intervals for proportions and difference of proportions
5. Hypotheses testing
Tests for mean, difference of means, proportions and difference of proportions
6. linear regression
Estimation and inference of linear regression parameters using the least squares method