# Course Details

#### Name:

**Statistics / Statistics**

### Basic information

##### Credits:

*Master Degree in Applied Data Science:* 6 Ects (b)+6 Ects (c)

##### Term:

*Module Introduction To Statistical Learning:* 2° semester

*Module Statistics Lab:* 1° semester

##### Degree(s):

Compulsory 1^{st} year Master Degree in Applied Data Science curriculum Data for Smart City

Compulsory 1^{st} year Master Degree in Applied Data Science curriculum Data for Life Science

##### Language:

Italian

### Course Objectives

**Module Statistics Lab:** The students, by attending this course, should acquire a basic knowledge in statistics, to be able to understand the basic theoretical tools in data management. Moreover, they should be able to solve simple theoretical statistical problems, involving the use of probability and statistics. They should also be able to tackle real simple statistical problems and employ the correct theoretical and software tools to solve them.
Finally, the students should acquire sufficient skills to proceed towards a more advanced course in statistics, econometrics or in statistical learning.

### Course Content

##### Module Statistics Lab

- Using Statistics to summarize data sets: representation of datasets, sample mean, variance, median, covariance and correlation.
- Review of fundamentals of probability: combinatorics, uniform probability spaces, independence and conditioning, main discrete and continuous random variables, marginal and joint distributions, Mean, variance, moments, covariance and correlation index. The Gaussian densities, the Law of Large Numbers, the Central Limit Theorem.
- Distribution of sampling statistics, estimators, confidence intervals.
- Linear regression: univariate and multivariate.
- Principal component analysis
- RE software to calculate statistics figures

### Learning Outcomes (Dublin Descriptors)

On successful completion of this course, the student should

##### Module Statistics Lab

- • Have acquired a basic knowledge of the main tools in statistical analysis.
• Have a theoretical familiarity with multivariate analysis.
• Be able to understand and employ the basic techniques to manage data sets.
• Have acquired a basic knowledge of a statistical software such as R.
• Be able to proceed towards a more advanced course in statistics, econometrics and statistical learning.

### Prerequisites and Learning Activities

**Module Statistics Lab:** It is required a basic knowledge in
• Basic Mathematics
• Linear Algebra
• Calculus
Also, a basic knowledge of Probability is strongly advised.

### Teaching Methods

**Language**: Italian

**Module Statistics Lab:** Lectures and recitation classes with the use of statistical software.

### Assessment Methods and Criteria

**Module Statistics Lab:** Written exam, with possible development of a small project with the aid of a statistical software.

### Textbooks

##### Module Statistics Lab

- S. M. Ross,
**Introductory Statistics**. Academic Press. * *
- R. A. Johnson, D.W: Wichern ,
**Applied Multivariate Statistical Analysis (6th Edition)**. Pearson. * *

### Course page updates

This course page is available (with possible updates) also for the following academic years:

*Course information last updated on: 18 giugno 2018, 16:19*