STATISTICS FOR EXPERIMENTAL AND TECHNOLOGICAL RESEARCH FIRST YEAR
Learning outcomes of the course unit
Introduce the student to the logic of statistical thinking and its application to practical problems.
Course contents summary
Introduction: medical statistics and related disciplines. Logic and statistical planning.
Overview of combinatorial analysis: permutations, arrangements, combinations. Applications.
Overview of probability analysis : probability of simple and compound events, Bayes theorem.
Odds.Odds ratios. Likelihood ratios. Applications.
Probability distributions : binomial distribution, Poisson distribution, normal and standard normal distribution. Tables and their use.
How to summarise the data. Units of measure. Measurements of position, order and variation. Indices of central tendency, mean median, mode. Indices of variabilità, variance, standard deviation, CV. Percentile and their use.
General principles of statistical inference. Sampling distribution. Hypotheses and hypothesis tests. I and II type errors. Power of a test and operating curve. Parametric test : Student t-test, an overview of analysis of variance. Non-parametric test: Wilcoxon test, Mann-Whitney test, Kruskal-Wallis test, Friedman test, median test, Chi-square test, Fisher’s exact test.
Linear regression and correlation.
Overview of multivariate statistics: Main components. Discriminant analysis.Cluster analysis
Practical sessions with the statistical software R and SPSS on medical data.
1) Lecture notes
2) Sidney Siegel, N. John Castellan Jr. : Statistica non parametrica, ed. McGraw-Hill
4) Internet resources and links
Assessment methods and criteria