2019/2020

2019/2020

DM270

MAT/06 ()

DEPARTMENT OF BIOLOGY AND BIOTECHNOLOGY "LAZZARO SPALLANZANI"

BIOTECHNOLOGY

PERCORSO COMUNE

1°

6

48 lesson hours

 

PRIOLA Enrico - 6 ECTS

This is the second part of the course ``Calculus and Statistics''.
Mathematical topics studied in the first semester in the ``Calculus'' part of the course are the prerequisites for the second part.

The course aims to introduce students to statistical data analysis.
It is intended to provide basic knowledge of descriptive and inferential statistics.
Part of the course will be devoted to the study of the basic tools and the probabilistic mathematical language.

At the end of the course the student will be able to understand and interpret basic statistical analyses and should also be aware of the limits of the information obtained from the data.

Part I: descriptive statistics.
Data, populations and samples. Frequency, percentage, histogram. Empirical mean, median, quantiles, standard deviation. Representing multivariate data.
Scatter plots. Regression line (LS).

Part II: probability. Probability, frequency, conditional probability. Survival function and cumulative distribution function. Discrete and continuous random
variables. Mean and variance. Independent random variables. Binomial distribution. Gaussian distribution. Some properties of Gaussian random variables. Hints
on the law of large numbers and on the central limit theorem.

Part III: statistical inference.
Point estimation and confidence interval. Confidence interval for Gaussian random variables.
Hypothesis test: null and alternative hypothesis, errors. Z Test. T test. Linear regression and hints on ANOVA and F test.

Lectures and sessions of practical exercises aimed at applying in concrete examples the theoretical concepts presented during the lectures.

Matematica e Statistica. Marco Abate. III edizione. Mc Graw Hill ed.

Being this the second part of the course ``Calculus and Statistics'', in order to be admitted to the examination, it is mandatory that the student have successfully
passed the exam of the ``Calculus'' part.

There will be a written examination, where the student will be asked to solve some problems on the specific topics treated during the course.
If the student is positively evaluated in the written examination, at discretion of the commission an additional oral colloquium can be considered.

Note that the final grade of ``Calculus and Statistics'' course will be the mean of the grades of the two parts.

This is the second part of the course ``Calculus and Statistics''