93387 - Statistics

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. Binomial and gaussian random variables. The central limit theorem.
Inferential statistics
Population, simple random sample and sample space. Sampling random variables and their distributions.
Introduction to interval estimation and hypothesis testing. 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; projector

Office hours

See the website of Patrizia Agati