Frequentare

MAURO COSTANTINI

The course aims to introduce students to a quantitative way of observing and analyzing the reality that sourrounds us. The statistical methodology will be presented focusing on the applicative aspects using noumerous examples. At the end of course the student will be able to use this metodology to stydy and understanding the collective phenomena of greatest interest for his course of study.

At the end of the course, students will be able to understand the fundamental principles of descriptive and inferential statistics and will be able to critically evaluate the results of statistical analysis. Communication skills will be developed through the interaction provided during lectures and in solving exercises.The acquired knowledge will help the student in the independent study of statistical analysis.

There are no specific requirements.
No preparatory courses are required.

Part I. Univariate analysis of statistical data
1 Basic concepts
2 Frequency distributions
3 Graphical representations
4 Means
5 Variability
6 Shape of Frequency Distributions
Part II. Bivariate analysis:
7 Analysis of bivariate distributions: Dependence
8 Analysis of bivariate distributions: Regression
9 Analysis of bivariate distributions: Correlation
Part III. Inferential statistics
10 Probability
11 Random variables
12 Some probability distributions
13 Joint probability distribution
14 The law of large numbers and the Central Limit Theorem
15 Population, sample, sampling distributions
16 Point estimation

Cicchitelli, G., D'Urso, P., Minozzo, M. - Statistics. Principles and Methods. First edition (2021), Pearson.

Lectures and exercises. Each theoretical topic will be integrated with application examples and exercises in order to facilitate the understanding of statistical tools.The elearning tool for the course is Moodle, available at elearning.uniroma1.it. Slides and solution of the proposed exercises are available on Moodle.

Attendance is not mandatory, but highly recommended.

The assessment is carried out through a final written exam. The exam consists of 5 numerical questions with potential interpretation of the results. It is requested that the student reports all the steps of the calculations to obtain the results, along with the interpetation of the results, if requested. The written exam lasts 90 minutes and students are allowed to use a calculator.

Calculate the arithmetic mean of the univariate distribution X=[3,4,5,6,7].
Calculate the index of determination of the regression of Y on X, Y=[3,7,9,11,13]; X=[6,8,10,12,14].Comment on the result.
Consider a class of 12 women and 4 men. Choose 3 students at random. What is the probability that they are all women.
Determine which of the following two estimators T1=(X1+X2+X3)/3 e T2=(X1+2X2+2X3)/5 is more efficient.