Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea in Biotecnologie - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2012/2013
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3° Year activated in the A.Y. 2013/2014
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Mathematics and statistics - STATISTICA (2011/2012)
Teaching code
4S02690
Teacher
Credits
4
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/06 - PROBABILITY AND STATISTICS
Period
I semestre dal Oct 3, 2011 al Jan 31, 2012.
Learning outcomes
This course aims to provide the students with the fundamental of descriptive statistics, inferential statistics and probability theory.
Program
Part I) descriptive statistics.
Univariate statistics: main chart (pie chart, bar chart, histogram e box-plot), measures of location (mean, mode and median), measure of spread (range, interquartile range, variance, standard deviation), measure of asymmetry (third moment, skewness index, Pearson's skewness coefficient) measure of kurtosis (fourth moment, kurtosis, excess kurtosis).
Bivariate statistics: main representations (contingency tables e shattered plots), main measures (mean, variance and covariance), correlation analysis (linear regression and Pearson's correlation coefficient).
Part II) Probability theory
Probability: probability definition (classic and modern), event taxonomy (independent events, mutually exclusive events, complementary event, union event and intersection event). Conditional probability. Probability of notable events.
Random variables: discrete random variable (discrete probability distribution, expected value and variance), continuous random variable (probability density function, expected value and variance), main continuous distributions (uniform, gaussian, standard normal and chi-square).main discrete distributions (binomial and Bernoulli), central limit theorem, Chebyshev’s inequality, convergence in law of random variables and limit random variable.
Part III) Inferential Statistics.
Estimation theory: estimation problem, main properties of an estimator (unbiased, consistency and efficiency). point estimation (expected value and variance), interval estimation (expected value and variance).
Hypothesis test: Problem statement (first type and second type error, theoretical distribution), testing process, chi-square based independence test.
Part IV) Laboratory
Spreadsheet fundamental: scope and main software. Cells main properties: value, format, absolute and relative reference. Calc for basic statistics: single and double entry table, bar plot, shatter plot and linear regression plot.
Author | Title | Publishing house | Year | ISBN | Notes |
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D. OLIVIERI | Istituzioni di statistica | CEDAM | 2005 | Testo ad un livello di approfondimento superiore a quello presente nel corso | |
Navidi | Probabilità e statistica per l'ingegneria e le scienze | McGraw-Hill | 2011 | 978-8-88-3866334-5 | Testo adatto a chi intende approfondire l'uso della statistica in ambito applicativo |
Bland | Statistica Medica | Apogeo | Testo adatto a chi intende approfondire l'uso della staitistica nelle discipline mediche |
Examination Methods
The exam requires two tests. The former test is composed by close questions while the latter is composed by open questions and exercises. To pass the exam, a student has to get a positive mark in both the tests.
Teaching materials e documents
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0.1 - Informazioni sul corso. (pdf, it, 79 KB, 12/5/11)
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0.2 - Concetti introduttivi. (pdf, it, 89 KB, 12/5/11)
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1.1 - Statistica descrittiva I - Serie monovariate: principali rappresentazioni e definizioni di frequenze. (pdf, it, 165 KB, 12/5/11)
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1.2 - Statistica descrittiva II - Serie monovariate: indici sintetici (posizione, variabilità, simmetria e curtosi) e box-plot. (pdf, it, 235 KB, 7/15/12)
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1.3 - Statistica descrittiva III - Serie bivariate: rappresentazioni tabellari e grafiche, indici sintetici e retta di regressione. (pdf, it, 278 KB, 1/24/12)
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2.1 - Probabilità I - Calcolo delle probabilità: definizioni introduttive, definzioni di probabilità (classica, assiomatica), probabilità condizionata (pdf, it, 143 KB, 12/14/11)
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2.2 - Probabilità II - Variabili casuali discrete: definizioni introduttive , valore atteso, varianza, principali vv.cc. (pdf, it, 158 KB, 12/23/11)
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2.3 - Probabilità III - Variabili casuali continue: indici sinteitici, principali vv.cc., Teorema del limite centrale, distribuzione limite. (pdf, it, 393 KB, 12/14/11)
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3.1 - Inferenza I - Teoria della stima: problema della stima, proprietà di uno stimatore, stima puntuale, stima per intervallo. (pdf, it, 223 KB, 12/23/11)
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3.2 - Inferenza II - Test di ipotesi: costruzione di un test, test sul valore atteso, test di aderenza alla distribuzione, test di indipendenza del Pearson (pdf, it, 246 KB, 1/24/12)
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9.1 - Esercizi proposti - (v3.0). (pdf, it, 588 KB, 12/5/11)