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Course Sheet Academic Year of enrolment:
Professor and Collaborators:
Hours of classroom activity:
Prerequisites:
No prerequisites are required
Objectives
Contents Basic methods of descriptive statistics: concepts of average, variability and association between characters. Introduction to the fundamentals of probability calculus, to the concept of random variable in order to lay the foundations for sampling and statistical inference.
Extended Syllabus Characters and measurement scales. The distribution of a character and its graphical representation. Synthesis of the distribution: averages, variability and concentration. Analysis of the association between two characters: bivariate distribution; contingency tables; conditional distributions; independence and dependence; dependence in mean; correlation coefficient. Probability calculus: primitive concepts; events and event algebra; postulates; main theorems of probability calculus. Conditional probability and independence. Random variables and probability distributions: discrete and continuous random variables; Bernoulli's random variable; Binomial and Normal random variables; central limit theorem. Sampling and sampling distributions. The properties of the sample mean. Point estimation: the theoretical bases; finite and asymptotic properties of the estimators; the estimator of the population mean and the estimator of the population proportion. Interval estimation: confidence interval for the mean and the proportion of the population. Test of statistical hypotheses: the theoretical basis of hypothesis testing on the population mean and the population proportion.
Recommended Bibliography Borra, S., Di Ciaccio A., Statistica, metodologie per le scienze economiche e sociali, terza edizione, McGraw-Hill, 2014.
Teaching Methods Frontal lessons and exercises.
Evaluation methods Verification of learning:
The learning assessment procedures consist of a written test lasting 3 hours, made of exercises and theoretical questions (open questions) on topics that cover the entire program of the course (descriptive statistics, probability and inference calculation). Students will have to demonstrate that they are able to formalize a problem in quantitative terms, to obtain the appropriate indices and statistics for its solution and to provide an interpretation of the results obtained. During the exam the student can bring a calculator, the statistical tables and the formulary that can be downloaded from the course website.
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