| Area of Mathematics: | Statistics-Probability-Operational Research (ESPOR) | ||
| Semester: | 7ο | ||
| Course ID: | 72303 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | |||
| Instructors: | |||
Description
- Introduction to non parametric statistics.
- Hypotheses testing based on Binomial distribution (sign test, McNemar test, Cox and Stuart test).
- Non parametric methods based on ranks for one or two samples (Wilcoxon test for one sample or paired sample, Mann-Whitney test, Kruskal-Wallis test, Friedman test). Testing equality of variances. Association measures (Spearman correlation coefficient, Kendall correlation coefficient).
- Goodness of fit tests (Kolmogorov-Smirnov test, Lilliefors test for normality and exponentiality, Shapiro-Wilk test).
- Hypotheses testing for the equality of two distributions (Kolmogorov-Smirnov test, Cramer-von Mises test).
- Hypotheses testing for the equality multiple distributions based on more than two independent samples.
- Nonparametric regression.
- Contingency tables (Chi-square test, McNemar test).
Bibliography
- Lehmann E.L., Nonparametric Statistical Methods based on Ranks. Springer Science and Business Media, LLC, 2006.
- Wasserman L., All of Non parametric Statistics, Springer Science and Business Media, LLC, 2006.
- Gibbons, J. D. and Chakraborti, S., Nonparametric Statistical Inference, Fourth Edition Revised and Expanded. Ed. Markel Dekker Inc, 2003.
- Higgins, Jame V., Introduction to Modern Nonparametric Statistics, Duxbury Press, 1st ed., 2003.
