- Docente: Emanuel Guariglia
- Credits: 6
- SSD: SECS-S/01
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Sciences and Management of Nature (cod. 9257)
Learning outcomes
At the end of the course, the student learn major statistical methods to deal with ecological, economical and social data, both using univariate and multivariate approaches. The student will have the capacity to deal with the practical applications of several statisical methods to real world case and data.
Course contents
1. Remarks of probability theory
Approaches to Probability Theory. Axiomatic approach to probability. Sets and Events. Conditional probability. Independent events. Total probability theorem. Random variables. Mean, quantiles and variance. Discrete and Continuous Uniform distribution. Binomial distribution. Gaussian distribution. Independent variables. Sums of random variables. Central limit theorem and related results. Chi-squared and t distributions.
2. Multivariate statistics
Introduction to multivariate data analysis. Linear algebra and Euclidean geometry. Descriptive statistics for data matrices. Mean vector. Covariance matrix. Distance matrix. Principal component analysis. Cluster analysis. Correspondence Analysis, Multidimensional scaling, Discriminant analysis. Linear and multiple regression.
3. Real world applications
Applications of the main statistical models in ecological, economical and social data. Further applications in biology and natural science.
A brief introduction to statistical software: R and Wolfram Mathematica.
Readings/Bibliography
1. S.M. Ross, Introduction to probability and statistics for engineers and scientists, Academic Press, 2014.
2. A. Papoulis, S.U. Pillai, Probability, random variables and stochastic processes, McGraw-Hill, 2015.
Moreover, lecture notes are available on IOL.
Teaching methods
Class lectures.
Assessment methods
Prerequisites
Calculus and Linear Algebra.
Format
Oral examination.Teaching tools
Teaching material (lecture notes, exercises, etc.) and further information about the course will be made available at the beginning of the course.
Office hours
See the website of Emanuel Guariglia