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Mathematical Statistics 2 - NSTP202

Title:	Matematická statistika 2
Guaranteed by:	Department of Probability and Mathematical Statistics (32-KPMS)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	summer
E-Credits:	6
Hours per week, examination:	summer s.:4/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Jiří Anděl, DrSc.
Classification:	Mathematics > Probability and Statistics
Co-requisite :	NSTP201
Interchangeability :	NMSA332
Is co-requisite for:	NSTP228, NSTP192, NSTP196
Is incompatible with:	NSTP002
Is pre-requisite for:	NEKN005

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

The lecture is devoted to fundamental methods of estimation theory and hypotheses testing. Further, some practical applications (ANOVA, nonparametrics, contingency tables) are introduced. The course provides a basis for studying advanced statistics.

Last update: T_KPMS (25.04.2008)

Aim of the course -

The students learn fundamental methods used in theory of estimation and testing hypotheses. The methods are applied to constructing practical procedures for statistical analysis of real data, e.g. analysis of variance, nonparametrics, contingency tables and so on.

Last update: T_KPMS (15.05.2008)

Literature - Czech

Anděl J.: Matematická statistika, SNTL/ALFA, Praha 1978

Anděl J.: Statistické metody. Matfyzpress, Praha 1998

Anděl J.: Základy matematické statistiky. Matfyzpress, Praha 2005

Last update: T_KPMS (18.04.2008)

Teaching methods -

Lecture.

Last update: G_M (27.05.2008)

Syllabus -

Theory of estimation (unbiasedness, consistency and efficiency of estimators, Rao-Cramér inequality, Fisher information, Bhattacharya theorem, sufficient statistics, Lehmann-Scheffé theorem, ancillary statistics, Basu theorem, Rao-Blackwell theorem, maximum likelihood method). Tests of statistical hypotheses. Linear models

and their applications. Scheffé and Tukey methods for multiple comparisons. One-way and two-way analysis of variance. Nonparametric methods (sign test, one-sample and two-sample Wilcoxon test, Kruskal-Wallis test, Friedman test, Spearman correlation coefficient). Tests of fit. Tests for contingency tables.

Last update: T_KPMS (25.04.2008)