Introduction to biomedical statistics
Facoltà di Scienze Matematiche Fisiche e Naturali
Facoltà di Ingegneria dell'Informazione, Informatica e Statistica
Facoltà di Medicina
Topic: Probability and Statistical Inference.
Reception: Via Regina Elena 295, building G, first floor.To make an appointment, please mail me at costantino.ricciuti@uniroma1.it
Book: Sheldon Ross: "Introduction to probability and statistics for engineers and scientists".
Exam: The exam consists in a written test, including exercises and some theoretical questions. Moreover, if I deem it appropriate, a brief oral interview may also take place.
Dates of written exams:
Pre-exam: May 24, 2019 (10.00 a.m.)
First Exam: June 10, 2019 (10.00 a.m.)
Second Exam: July 10, 2019 (10.00 a.m.)
Third Exam: September 24, 2019 (02.00 p.m.)
Fourth Exam: February 25, 2020 (10.00 a.m.)
Programme of the lessons:
05/03/2019: Presentation and description of the course. Experiments with non deterministic outcome: sample space and events, union and intersection of events.
08/03/2019: Axioms of probability and their consequences. Basic principle of counting, elements of combinatorics.
12/03/2019: Sample spaces with equally likely outcomes. Conditional probability.
15/03/2019: Independent events. Law of total probability. Bayes theorem.
22/03/2019: Exercises.
27/03/2019: Random variables. Discrete distributions. Probability mass function. Expected value. Discrete density and mean value of functions of discrete random variables.
29/03/2019: Variance of a random variable. Expected value and variance of Y=aX+b. Bernoulli trials, Binomial distribution.
03/04/2019: Continuous distributions. Density function. Expected value and variance. Exponential and uniform distributions.
05/04/2019: Normal distribution. Discrete joint distributions.
10/04/2019: Exercises.
12/04/2019: Basic notions on random vectors. The central limit theorem.
16/04/2019: Basic notions of descriptive statistics: data samples, histograms, sample mean and sample variance. The problem of statistical inference. Population, random samples, distributional properties of the sample mean and the sample variance.
17/04/2019: Parametric and non-parametric inference. Basic notions on point estimators.
26/04/2019: Exercises.
29/04/2019: Interval estimation for the mean of a normal population with known variance.
03/05/2019: The t-Student distribution. Interval estimation for the mean of a normal population with unknown variance. Interval estimation for an unknown proportion.
08/05/2019: General notions on hypotesis testing. The z-test.
10/05/2019: Exercises.
15/05/2019: The t-test. Remarks and examples on hypotesis testing.
16/05/2019: Exercises.