Probabilistic and statistic methods

A.Y. 2020/2021
Overall hours
Learning objectives
Knowledge of descriptive statistics. Position and variability indices. Acquisition of the principles and the techniques of regression and correlation between variables. Knowledge of inferential statistics. Analysis of Variance.
Expected learning outcomes
Describe the phenomena by the main statistical indicators; Plan a sample surveys; Use the methodology of the analysis of variance at 1 and 2 factors; understand the results of statistical surveys.
Course syllabus and organization

Single session

Lesson period
Second semester
The lessons will be carried out through the Teams platform, in "synchronous" mode.
If there is the possibility to carry out the lessons "in presence," will be given communication through Ariel
Course syllabus
1 - The language of statistics. 2 - The representation of data Organization of data and graphical representations. 3 - Data descriptors Measures of central tendency (mean, median mode) Measures of dispersion or variation. 4 - Bivariate analysis of data Bivariate analysis with qualitative and quantitative data. 5 - The probability The laws of probability. 6 - Random variables and probability distributions Random variables The binomial distribution The normal distribution. 7 - Sampling distributions and confidence intervals The most common estimators Desirable properties of an estimator Distribution of sample mean, The Central Limit Theorem Confidence intervals for the mean. 8 - The hypothesis testing: fundamentals The hypothesis test Stages of a hypothesis test Two-tailed tests Test for the average. 9 - Still about inference, Test on a single population hypothesis on the average hypothesis on a single proportion. 10 - Comparing two populations Test of hypothesis on the difference between the means of two populations - With independent samples - With dependent samples. 11 - Regression Analysis The simple linear regression model The inference in the case of linear regression model Confidence intervals and prediction intervals Correlation analysis. 12 - Analysis of Variance Principles of analysis of variance Fisher F distribution test for Anova.
Prerequisites for admission
The students should have sufficient knowledge of the mathematical language
Teaching methods
Frontal lessons and classwork by Teams
Teaching Resources
1) "Introduzione alla Statistica", di M. K. Pelosi e T. M. Sandifer, ed. McGraw-Hill, 2009
2) Material on the teachers' Ariel websites
Assessment methods and Criteria
The exam consists in a written test.
The test is based on open and multiple choice questions . Moreover some exercises are included.
Test evaluation is based on the correctness of responses.
The final score is expressed as n/30.
Results are published on the Ariel site of teachers
SECS-S/01 - STATISTICS - University credits: 6
Lessons: 48 hours
Educational website(s)
on appointment
Via Celoria 2, Milan, Italy, 3rd floor (or by Skype/Teams/Zoom)