Portale di Ateneo - En.Unibs.it

1.Generality- Statistics and its field of application- Descriptive statistics and inferential statistics- Quality, collection and organization of data- Detection and organization of statistical data2. Descriptive statistics- The concept of statistical variable- Qualitative variables and quantitative variables- Universesand statistical units- Data collection method- Frequency distributions- Intervals of a class, limits of a class, boundaries of a class, central value of a class- General rules for obtaining frequency distributions- Absolute, relative and percentage frequency- Absolute, relative and percentage cumulative frequency- Central trend indices (mean, median, simple and weighted arithmetic mean, geometric mean) starting from raw data and frequency distributions- Position indices (quartiles, deciles and percentiles)- Indices of variability (Range, interquartile range, variance, standard deviation, coefficient of variation) starting from raw data and frequency distributions- Graphical representation of data (bar charts, histograms, scatterplots, boxplots)3.Probability- definition,- union and intersection of events- rules of the sum and of the product- conditional probability- probabilistic independence- Bayes theorem4. Probability distributions- Binomial- Poisson- Gaussian / Normal5. Diagnostic tests- Sensitivity and specificity- Positive and negative predictive value- ROC and AUC curves (outline and meaning of the graph)6. Inferential statistics- Sampling: simple, stratified, clustered.- Distribution of the sample average- Central limit theorem- Concept of estimation and confidence interval (for the arithmetic average)- Inference theory: formulation of the hypothesis, decision criteria, errors of I and II type7. Comparison between two sample averages- t-Test for independent samples- t-Test for paired samples- non-parametric tests8. Contingency tables- Chi-square test- McNemar test- Fisher's exact - RR and OR concept9. Linear correlation10. Linear models- Simple regression- Multiple regression11. Calculation of sample size- Single mean- Single proportion- Two means- Two proportions