M4420 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)
Guaranteed by
prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: RNDr. Marie Budíková, Dr.
Prerequisites
M3400 Probability and Statistics || M7521 Probability and Statistics || M5181 Introduction to Probability and Statistics I || M3B81 Introduction to Probability and Statistics I
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 2001.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/spring2002/M4420