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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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Tennis match modelling using Markov chains
Walica, Roman ; Hübnerová, Zuzana (referee) ; Hrabec, Pavel (advisor)
This thesis deals with the application of Markov chains in the tennis field and their subsequent adjustment based on formulated hypotheses. The first part of thesis describes the principles of the tennis game. In the second part, we deal with concepts from the field of statistics. These concepts are mainly used for creation and subsequent branching of Markov chains. The result of this work is several Markov chains for the game, divided by tennis serve or reception or by the type of surface on which the match is played. The other chains mentioned are chains for tiebreak, set and match. In final part of thesis we introduce obtained prediction of the result and the duration of the tennis match and its modeled parts.
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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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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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Testing equality of means by confidence intervals
Jandl, Vojtěch ; Kulich, Michal (advisor) ; Pešta, Michal (referee)
We deal with testing the equality of means using confidence intervals. Firstly, we introduce the methods of testing that have already been published. The advantage of these methods is that one can present the underlying confidence intervals alongside the result of the test without doing further calculations. In the second part we discuss the necessary assumptions and by that we extend the Noguchi's method to discrete distribu- tions. Also, we derive a generalization of the Noguchi's method for testing the equality of other parameters than means, based on the assumption of asymptotic normality of their consistent estimates. Lastly, we conduct a simulation study in order to compare the methods we discussed. We found out that the Noguchi's method is a worthy alternative to the often-used Welch test bearing the advantage of being able to present extra visual output in the form of the underlying confidence intervals. In comparison to other methods the Noguchi's method yields better results in the case of unequal or small sample sizes. Unlike other methods it can also be used for testing in the paired sample case. 1
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Testing equivalence and noninferiority
Rychterová, Nela ; Antoch, Jaromír (advisor) ; Omelka, Marek (referee)
This master thesis deals with topics related to the task whether customers are able to recognize a difference between products. First, testing of equivalence and non-inferiority is discussed in detail. It is an important tool when verifying that two products are equivalent or that a new product is not substantially worse than a current product. Afterwards, Thurstone's approach is introduced as a way to evaluate the impact of a stimulus on human senses. Subsequently, using the previous chapters, there is a detailed discussion dealing with three standards wi- dely used in practice in the case when someone needs to apply sensory evaluation to verify whether customers are able to recognize a difference between products. In particular, these are duo-trio, triangle and paired comparison tests. There is a thorough explanation of their statistical base and the tests are compared accor- ding to their power. Furthermore, an approach based on the Thurstone's theory is introduced as an alternative to the standard methods. Moreover, this thesis introduces Saaty's approach to the estimation of a priority vector, which is a useful tool to compare, to order or to choose the best one from n objects. We also introduce another approach to estimation of a priority vector which is based on Saaty's idea. 1
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