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Sports data analysis
Horák, Patrik ; Bednář, Josef (referee) ; Hrabec, Pavel (advisor)
The main preoccupation of this thesis is analysis of ice hockey statistics. The first section describes widely used elementary and advanced ice hockey statistics. The second part contains selected comparable studies working with similar hypotheses. The third section introduces necessary mathematical tools, such as, Two-sample t-test, correlation, Two-way analysis of variance with no interaction and their nonparametric equivalents. In the last section described statistical hypotheses tests are applied to ice hockey dataset. Results interpretation is also included.
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Statistical analysis of data from routing problems
Mazlová, Lenka ; Popela, Pavel (referee) ; Šomplák, Radovan (advisor)
This bachelor thesis focuses on statistical analysis of data retrieved from real waste collection. The main goal is to become familiar with statistical hypothesis testing and model creating typical for mathematical statistics and to determine key parameters that affect routing problems. One of the outputs of this thesis is a Microsoft Excel file that contains statistical tests described in following text.
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Comparison of spirometric instruments' precision
Chmelíková, Lucie ; Janoušek, Oto (referee) ; Slávik, Vladimír (advisor)
This thesis deals with pulmonary testing with emphasis to spirometry. In the first part is introduced and described pulmonary system and its attributes. There is a clear and complete list of pulmonary characteristics and parameters. It contains integrated summary of principles that are used for pulmonary measurement devices. First part is followed by description of created virtual device using LabVIEW programming. Simple meter of lung volumes can easily create spirometric curve and automatically evaluate desired values of volume. Program is further enhanced with optional archiving of measured spirometric curve. The last part of this thesis uses statistic testing for deciding of validity or invalidity of hypothesis. By statistic testing of hypothesis we are gaining and expanding basic knowledge about spirometric devices.
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Influence of socio-economic factors on the composition of waste: statistical approach
Jordánová, Petra ; Pavlas, Martin (referee) ; Šomplák, Radovan (advisor)
This bachelor thesis deals with comparison of mixed municipal waste in different areas in the Czech Republic. Statistical apparatus needed for subsequent data is described in the first part. There is discussed problematics of random variable, the probability distribution and hypotheses that will be used in this work. The second part involves a data set analysis. The merit of this thesis is hypothesis testing of the difference in mixed municipal waste composition between chosen areas and built-up area types. At the end an approach for estimate of impact factors of waste composition using correlation and regression analysis will be given. This work brings a benefit in current stratification evaluation process and recommendation of changes in selected factors.
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Hypotheses Testing in Financial Time Series
Kubů, Jan ; Zichová, Jitka (advisor) ; Jonáš, Petr (referee)
Financial data often take the form of time series. In such cases, their analysis is performed using statistical methods for time series. The thesis describes selected parametric and nonparametric tests of random walk hypothesis. Tests are designed against common mutual correlation alternatives but also against trend and cyclic data structure alternatives. The thesis provides the theoretical basis of these tests and their application to real financial data.
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Testing Structural Changes Using Ratio Type Statistics
Peštová, Barbora ; Hušková, Marie (advisor) ; Prášková, Zuzana (referee) ; Jarušková, Daniela (referee)
Testing Structural Changes Using Ratio Type Statistics Barbora Peštová Charles University in Prague, Faculty of Mathematics and Physics, Department of Probability and Mathematical Statistics, Czech Republic Abstract of the doctoral thesis We deal with sequences of observations that are naturally ordered in time and assume various underlying stochastic models. These models are parametric and some of the parameters are possibly subject to change at some unknown time point. The main goal of this thesis is to test whether such an unknown change has occurred or not. The core of the change point methods presented here is in ratio type statistics based on maxima of cumulative sums. Firstly, an overview of thesis' starting points is given. Then we focus on methods for detecting a gradual change in mean. Consequently, procedures for detection of an abrupt change in mean are generalized by considering a score function. We explore the possibility of applying the bootstrap methods for obtaining critical values, while disturbances of the change point model are considered as weakly dependent. Procedures for detection of changes in parameters of linear regression models are shown as well and a permutation version of the test is derived. Then, a related problem of testing a change in autoregression parameter is studied....
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Sports data analysis
Horák, Patrik ; Bednář, Josef (referee) ; Hrabec, Pavel (advisor)
The main preoccupation of this thesis is analysis of ice hockey statistics. The first section describes widely used elementary and advanced ice hockey statistics. The second part contains selected comparable studies working with similar hypotheses. The third section introduces necessary mathematical tools, such as, Two-sample t-test, correlation, Two-way analysis of variance with no interaction and their nonparametric equivalents. In the last section described statistical hypotheses tests are applied to ice hockey dataset. Results interpretation is also included.
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