Knowledge and understanding: know the basic elements of Mathematics necessary for Statistics and Acoustic Physics. Know basic elements of descriptive statistics and calculation of probabilities, useful tools for the profession of speech therapist.

Ability to apply knowledge and understanding: be able to apply basic notions of Mathematics, Statistics and Probability to first elaborations on data within the context of the profession of Speech Therapist.

Making judgements: being able to critically read simple biomedical statistics and relative measures of uncertainty.

Communication skills: being able to express oneself appropriately on the basic topics of Statistics and Probability on biomedical-health applications.

Learning skills: being able to grasp the salient elements of new topics, especially in view of the next course
of Research Methodology and Statistical Inference.

Basic Mathematics

simple mathematics review, in particular trigonometry elements, the concept of derivative of a function (preparatory to the course of Acoustics Physics);
basic elements of medical statistics:
descriptive statistics,
probability and uncertainty in health care.
Examples in practice and in bio-medical research

First elements on Statistical Inference: estimates

working on data sets with spreadsheets

D.F. Polit, C.T. Beck, Fondamenti di ricerca infermieristica, Mc Graw Hill;
M.Bland: STATISTICA MEDICA - Apogeo
G. Norman, D. Streiner (2015), Biostatistica – quello che avreste voluto sapere, Casa Editrice Ambrosiana;
M. Pagano: BIOSTATISTICA - Gnocchi

Introduction: Mathematics and Statistics for Speech therapy. Examples.
First elements if trigonometry; The function y = A + B * sen (Cx + D);
the concept of derivative and first applications;
the definition of logarithm. Examples.

Introduction to basic elements of descriptive statistics.
Different types of data.
Examples of different types of graphs.
Charts and tables; Central trend measures: mean, median, mode and their critical use;
Dispersion measures: range, variance, SD, quartiles, percentiles and their critical use.
Examples and exercises.
Boxplot: definition, examples and exercises.

The issue of health uncertainty and introduction to probability.
Examples

Contingency tables
Probability definitions; the conditional probability. Examples.
Diagnostic tests: sensitivity, specificity, predictive values and their prevalence.
Examples and exercises

Gaussian distribution: properties and applications.

Relative Risk and Odds Ratio. Examples from scientific articles.

Notes on statistical inference: the transition from a sample to the population.

Estimations: point, interval and the confidence intervals

Exercises.

lectures and exercises with spreadsheets

no

written test: 10 open-ended questions of theory and exercises (3 points for each correct answer, 0 for wrong or blank answers)

This course explores topics closely related to one or more goals of the United Nations 2030 Agenda for Sustainable Development (SDGs)