Select Academic Year:     2016/2017 2017/2018 2018/2019 2019/2020 2020/2021 2021/2022
Professor
MARIANO PORCU (Tit.)
Period
Second Semester
Teaching style
Convenzionale
Lingua Insegnamento

Informazioni aggiuntive

Course Curriculum CFU Length(h)
[2/59]  POLITICAL SCIENCE [59/00 - Ord. 2019]  PERCORSO COMUNE 9 54

### Objectives

The course aims to provide an introduction to statistical methods. Among them, basic concepts of descriptive and inferential statistics, probability notions, sampling and randomization, central tendency and variability, confidence intervals and statistical tests, hypothesis test for a single sample and two-sample, association between two categorical variables, simple linear regression model.

At the end of the course the students will be able to summarize and describe the data through numerical and graphical techniques, and they must be also able to apply the methods of statistical analysis for the solution of simple univariate inference problems. Moreover they will acquire basic skills about bivariate analysis for categorical and quantitative variables

### Prerequisites

The following mathematical notions are useful to the understanding of the course content. Elements of set theory (operations, relations, functions, sets numbers, natural, rational and real numbers), concept of a variable’s function (generality, graphical representation, properties, elementary functions such as straight line, parabola, polynomial exponential and logarithmic). Concept of limit, derivative, integral

### Contents

-Descriptive statistics and inferential statistics
-Sampling and measurement
-Randomization
-Sample variability and potential bias
-Describe data with tables and graphs
-Comparison between the characteristics of a collective or more than one collectives
-Describing the center of data
-Describing the variability of data
-Measure of position
-Sample statistics and population parameters
-Introduction to probability
-Probability distributions for discrete and continuous variables
-The normal probability distribution
-Sampling distributions of sample means
-Point and interval estimation
-Confidence Interval of a proportion
-Confidence interval for a mean
-Choice of sample size
-Significance tests for a mean
-Significance tests for a proportion
-Decisions and types of errors in tests
-Limitations of significance tests
-P(Type II error)
-Comparing two proportions
-Comparing two means
-Comparing means with dependent samples
-Contingency Tables
-Chi-square test of independence
-Associations between ordinal variables
-Linear relationships
-Least squares prediction equation
-The linear regression model
-Inference for the slope and correlation

### Teaching Methods

The course consists of 27 lectures with modules lasting 2 hours each and in assisted activities carried out by the tutors and organized in groups

The assisted activities will be held on a weekly basis and will be organized in shifts lasting 2 hours each

If the emergency regime due to the COVID-19 epidemic remains, the teaching will be provided simultaneously both in presence and online. At the beginning of the semester, the student will opt for face-to-face or distance teaching, the choice will be binding for the entire semester. If the number of students exceeds the capacity of the classrooms, determined on the basis of government provisions on health matters for the purpose of combating the pandemic, access to teaching facilities will be regulated through a shift system that will be communicated in due time to interested students

### Verification of learning

Written test in which the student have to answer to some exercises.

Statistics on the exams about the period of June-July 2019 (data updated to July 2019):
- Mean = 25.44
- Dev.Std = 3.51
- Number of tests on which the mean was calculated = 43
- Percentage of successful tests = 80%

### Texts

Suggested: Agresti - Finlay, Statistical Methods for the Social Sciences, Pearson, Last edition