- Docente: Flavio Santi
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Rimini
- Corso: Second cycle degree programme (LM) in Business Administration and Management (cod. 8842)
Course contents
Univariate descriptive statistics. Types of statistical variables. Frequency distributions: absolute and relative frequencies, simple and cumulative frequencies. Graphical representations of frequency distributions: barplots and histograms. Measures of centrality (mean and median) and measures of dispersion (range, interquartile range, variance, standard deviation, coefficient of variation).
Bivariate descriptive statistics. Contingency tables. Joint frequency distributions, marginal distributions, conditional distributions. Measures of association: covariance and correlation.
Probability. Sample space, event, probability measure. Random experiments. Bernoulli and binomial distribution. Gaussian, Student t and χ2 distribution. Probability density function, expected value, variance, covariance and correlation: definitions and properties. Central limit theorem.
Estimation theory. Estimators. Consistency, bias and mean squared error. Efficiency of an estimator. Sample mean and sample variance estimators. Point and interval estimation: confidence intervals. Confidence intervals for the mean of a population. Confidence intervals for proportions.
Hypothesis test. Principles of hypothesis testing. p-value. Bilateral and unilateral tests. Independence test for two-dimensional contingency tables.
Linear regression. Introduction to linear regression.
Introduction to R. Basics of R. Vectors, matrices and data.frame. Descriptive statistics with R: statistics and graphical methods. Random variable simulation with R. Confidence intervals and hypothesis testing with R. Linear regression.
Further details are available in the syllabus.
Readings/Bibliography
Agresti, A. and C. Franklin (2013). Statistics. 3rd ed. Pearson.
Agresti, A. and C. Franklin (2016). Statistica: l’arte e la scienza d’imparare dai dati. Ed. and trans. by G. Espa, R. Micciolo, D. Giuliani and M. M. Dickson. Pearson.
Dalgaard, P. (2008). Introductory Statistics with R. 2nd ed. Springer. url: http://www.academia.dk/BiologiskAntropologi/Epidemiologi/PDF/Introductory_ Statistics_with_R__2nd_ed.pdf.
Office hours
See the website of Flavio Santi