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Mathematics and Statistics - section 2
Code: G250NB
Teacher:  Lucia Baldi
Year: 
Term: 
CFU: 
CFU subdivision: Lectures: 3
Practices in classroom: 1
Basic aims:  Knowledge of the basics of Maths, in particular, of elementary
Calculus (real functions in one variable, limits, derivatives,
integrals).
Knowledge of descriptive statistics. Position and variability indices.
Acquisition of the principles and the techniques of regression and
correlation between variables. Knowledge of inferential statistics. Analysis of Variance.
Acquired skills:  Possibility of exploiting the basic tools of Maths in any context.
Describe phenomena using main statistical indicators. Plan
sampling surveys. Using the one and two-ways analysis of
variance. Objective assessment of statistical surveys results.
Course contents:  - Definition of statistical variables, graphical representations,
position and variability indices, statistical variables with two
dimensions;
-Probability, random variables, sampling, estimators, binomial,
Gaussian, Poisson, TCL, Student t, Fisher F and Chi-squares
distributions, confidence intervals, hypothesis tests;
- Analysis of Variance;
- Correlation and regression.
Program:  1- The language of statistics.
2- Organization of data end graphical representation.
3- Position and variability indices (mean, mode, median),
variance.
4- Bivariate analysis for qualitative or quantitive data.
5- Probability, probability rules. Independents events. Total
probability theorem. Bayes theorem.
6- Random variables, distributions. Distributions: binomial,
geometrical, Poisson, Gaussian.
7- Random samples. Confidence intervals. Estimation. Sample
mean. Central Limit Theorem. Confidence interval for the mean.
8- Hypothesis tests: fundamentals, phases, simple test.
9- Hypothesis test on a single population proportion.
10- Test and confidence interval for the difference of two means
using independent sample.
11- Correlation analysis. Univariate linear regression. Inference.
12- Analysis of variance.
Prerequisites:  Student should be familiar with mathematics.
Preparatory instructions:  Mathematics.
Learning materials:  Introduzione alla Statistica, di M.K. Pelosi e T.M. Sandifer, ed.
McGraw-Hill, 2009.
Other info:  The exam is based on 75' written test. An oral exam is required if
the result of the written one is 16 or 17 /30. The oral exam is not
cumpulsory if the result of the written test is 18/30 or more.
DOWNLOAD
Program of Mathematics and Statistics - section 2 (pdf version)
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