Università Roma Tre

An introduction to the fundamental ideas of statistics. Topics include descriptive statistics, probability, confidence intervals, and testing hypotheses, as well as the basics of Chi-square tests, regression and correlation.

G.Cicchitelli, P.D'Urso, M.Minozzo. Statistica: principi e metodi. Pearson, terza edizione (2017).

Descriptive Statistics: Getting started: Individuals and Variables. Univariate distributions. Picturing Distributions with Graphs. Measuring center: mode, median, quantiles, average. Measuring variability: standard deviation, variance, coefficient of variation. The shape of a distribution: symmetry and asymmetry. Two-way tables, marginal distributions conditional distributions. Independence. Association and correlation.
Introduction to probability: Definitions of probability. Conditional probability and independence. Bayes’ rule. Random variables: probability density functions, cumulative density functions. Main discrete and continuous probability distributions. The law of large numbers. Central limit theorem.
Statistical Inference: Simple random samples. Parameters and statistics. Point estimation. Confidence intervals. Test of hypothesis: type I and II error, power of a test, p-value. Inference for the mean and for proportions. Comapring two means and two proportions. Inference for two-way tables: the chi-square test.
Simple linear regression: Estimating the regression parameters, confidence intervals and significance tests. Prediction.

D.S. Moore, "The basic practice of statistics'' (III ed.), Freeman and co., 2004.