The objective of the course is to provide an appropriate knowledge of the foundations and the methodologies of the statistics that are useful for understanding, describe and interpret the phenomena. The student will then have to acquire the ability to: Organize Data into sets that can be analyzed and clinically significant; synthesize them; analyze them; draw conclusions in order to obtain the correct information on the phenomenon under study. Knowing how to use the statistical calculation for the comparison of two or more groups
The course aims at presenting the basic concepts and methods of linear programming. The course provides students with the analytic tools to model and to foresee situations in which a single decision-maker must find the best choice. At the end of the course, the students will be able to formulate mathematically linear programming problems in healthcare, solve numerically the problems, and realize what the optimal choice is.
The goals of the course are:
1. to acquire base knowledge that allows students to study linear programming problems and model techniques of the decision-making problems.
2. to identify and model real-life linear programming problems.
3. to choose and solve autonomously linear programming problems and to interpret the solutions.
4. to acquire base communication and reading skills using technical language.
5. to provide students with theoretical and practical methodologies and skills to deal with linear programming problems.
Frontal lessons with the active participation of the students in the resolution of problems, tutorials
There will be classroom lessons and exercises.
Probability
Foundations and rules Bayes',
theorem Binomial distributions and normal Central Limit,
Theorem Inferential Statistics Population and samples
Estimation of the parameters pointwise and range Test the hypothesis parametric and non-parametric
Verification of hypotheses for media and frequency
Student's t-test
Test The Fischer-Snedecor
test ANOVA
Test six sigma
LINEAR PROGRAMMING
Linear programming models. Graphical method. Primal simplex method.
INTEGER PROGRAMMING
Interger programming models. Branch and Bound method in integer programming, Knapsack problem.
EXCEL FOR LINEAR PROGRAMMING PROBLEMS
APPLICATIONS TO HEALTHCARE
Triola M. M. e Triola M. (2009), Statistica per le discipline biosanitarie, Pearson Addison Wesley, Milano.
Corazzo F. P. e Perchinunno P. (2007), Analisi statistiche con Excel, Pearson Education, Milano.
Notes prepared by the teacher
F.S. Hillier, G.J. Lieberman, Introduction to Operations Research, Mc Graw Hill.
Other teaching material will be available on the platform Studium.