93372 - STATISTICA

Course contents

Descriptive statistics
Introduction. Statistical data. Classification of statistical units. Classification of characters.
One dimensional variables. From raw data to the univariate frequency distrbution. Absolute frequencies and relative frequencies. Summary measures: location measures (mode, median, quantiles, arithmetic mean); variability measures (range, interquartile range, variance, standard deviation, variability coefficient, Gini's ratio). Statistical ratios and index numbers.
Two dimensional variables. Bivariate frequency distributions: joint distributions, marginal distributions, conditional distributions. Relationships between two variables: dependence, linear regression, linear correlation
Probability calculus
Random experiment, event space, event, operations between events. Probability and measuring criteria. Kolmogorov axioms and fundamental theorems of probability calculus. Conditional probability and stochastic independence. Bayes-Laplace theorem.
Random variables. Discrete models: binomial and Poisson random variables. Continuous models: the gaussian random variable. The central limit theorem.
Inferential statistics
Population, simple random sample and sample space. Sampling random variables and their distributions.
Introduction to point and interval estimation.
Introduction to hypothesis testing. Statistical tests. Test-statistics for means, frequences, variances.

Readings/Bibliography

• L. Stracqualursi, Elementi di Statistica, self publishing Amazon, 2019
• A. Montanari et al., Statistica con esercizi commentati e risolti. Casa Editrice Ambrosiana, Milano, 1998
• L. Stracqualursi, Test di Statistica a risposta multipla, 2a edizione, self publishing Amazon, settembre 2018

Teaching methods

Lectures and tutorial applications.

Assessment methods

Written exam (compulsory), consisting of exercises and multiple choice tests.

Oral exam on demand.

Teaching tools

Blackboard; PC; videoprojector

Office hours

See the website of Patrizia Agati