M8522 Fundamental statistical methods

Faculty of Science
Spring 2002
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Marie Budíková, Dr. (lecturer)
RNDr. Marie Budíková, Dr. (seminar tutor)
RNDr. Štěpán Mikoláš (seminar tutor)
Guaranteed by
RNDr. Marie Budíková, Dr.
Departments – Faculty of Science
Contact Person: RNDr. Marie Budíková, Dr.
Prerequisites
M7521 Probability and Statistics
M7521 or M5181
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The discipline contains exploratory data analysis, nonparametric statistics, statistical tests employed with two samples and with three and more samples, goodness-of-fit tests and statistical tests employed with multivariate samples.
Syllabus
  • Exploratory data analysis:histogram, empirical distribution function, moments, description of time series, indexes, multivariate data samples, graphical representation of dependence two or more variables. Nonparametric statistics: rank and rank statistics, lineär statistics and its asymptotically normality. Rank tests for one sample. Statistical tests employed with two samples: t-test, F-test, Wilcoxon, Van der Waerden and median tests, Friedman test,Siegel-Tukey, Klotz and quartil tests, comparison samples from binomial and poisson distributions. Statistical tests employed with three and more samples: ONEWAY, F-test, Kruskal-Wallis test, Friedmann test, test of homogenity for binomial samples. Goodness-of-fit tests: Kolmogorov-Smirnov test, chi-square test. Statistical tests employed with multivariate samples: Pearson's correlation coefficient, Spearman's correlation coefficient, Kendall's correlation coefficient, McNemar test.
Literature
  • MICHÁLEK, Jaroslav. Biometrika. 1. vyd. Praha: Státní pedagogické nakladatelství, 1982, 404 s. info
  • ZVÁRA, Karel. Biostatistika. 1. vyd. Praha: Karolinum, 1998, 210 s. ISBN 8071847739. info
  • ANDĚL, Jiří. Statistické metody. 1. vydání. Praha: MATFYZPRESS, 1993, 246 s. info
  • CLEVELAND, William S. Visualizing data. Murray Hill: AT & T Bell Laboratories, 1993, 360 s. ISBN 0-9634884-0-6. info
Assessment methods (in Czech)
Výuka probíhá každý týden v rozsahu 2h přednášky, 2h cvičení. Všechna cvičení probíhají v počítačové učebně s využitím speciálního statistického software. Zkouška je ústní, je doplněna konkrétním zpracováním dat u počítače.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Teacher's information
http://www.math.muni.cz/~budikova
The course is also listed under the following terms Spring 2000, Spring 2001.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/spring2002/M8522