STATISTICS - MOD 1
The objectives of the course consist in introducing the basic concepts of statistics for the collection, processing and synthesis of information, and in providing the skills to use the theory of probability and random variables.
Expected learning outcomes
Knowledge and ability to understand
The student has to show the knowledge of the main concepts and tools of descriptive statistics with reference to the characteristics of a phenomenon and the relationship between two phenomena. He/she will also have to know the principles of probability theory and the main discrete and continuous random variables.
Ability to apply knowledge and understanding
The student has to show that he/she can compute measures of synthesis of a phenomenon, quantify the relationship between two phenomena, compute the probability of uncertain events and apply the theory of random variables to real phenomena.
Autonomy of judgment
The student has to show that he/she has acquired a critical ability to choose the most appropriate statistical technique in relation to a specific problem.
The student has to show that he/she is able to present the results of a statistical analysis to experts in the sector and to non-experts, in the latter case translating correct and effective technical arguments in non-specialist language.
The student has to show the ability to use basic texts in depth in an independent and critical manner.
Passing the exam of Mathematics
I part (6 hours): Data collection, frequency distributions and graphical representations.
II part (6 hours): Average, median, percentiles, mode.
III part (6 hours): Measures of variability, heterogeneity indices.
IV part (6 hours): Chi-square and Cramer index for independence, correlation eta, covariance and correlation.
V part (6 hours): Probability theory, union and intersection of events, conditional probability, Bayes theorem.
VI part (6 hours): Discrete random variables, probability function, distribution function, expected value, variance. Popular discrete random variables: Uniform, Bernoulli, binomial, Poisson.
VII part (6 hours): Continuous random variables, density function, distribution function, expected value, variance. Popular continuous random variables: uniform, exponential, normal.
VIII part (6 hours): Linear combinations of random variables, survival function, moment generating function, characteristic function.
ANDERSON D.R., SWEENEY D.J., WILLIAMS T.A – Statistics for Business and Economics, South-Western Cengage Learning
Written examination of 1 hour (3 questions each articulated in different points) and oral examination including a proof among those reported on the web site E-learning of Parthenope University (http://e-economiaegiurisprudenza.uniparthenope.it/moodle)
Lectures are in Italian. The professor is fluent in English and is available to interact with students in English, also during the examination.