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Classification based on longitudinal observations
Bandas, Lukáš ; Komárek, Arnošt (advisor) ; Kulich, Michal (referee)
The concern of this thesis is to discuss classification of different objects based on longitudinal observations. In the first instance the reader is introduced to a linear mixed-effects model which is useful for longitudinal data modeling. Description of discriminant analysis methods follows. These methods ares usually used for classification based on longitudinal observations. Individual methods are introduced in the theoretic aspect. Random effects approach is generalized to continuous time. Subsequently the methods and features of the linear mixed-effects model are applied to real data. Finally features of the methods are studied with help of simulations.
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Introduction to Linear Mixed Models
Šaroch, Vojtěch ; Kulich, Michal (advisor) ; Komárek, Arnošt (referee)
of the bachelor thesis Title: Introduction to Linear Mixed Models Author: Vojtěch Šaroch Department: Department of Probability and Mathematical Statistics, MFF UK Supervisor: doc. Mgr. Michal Kulich Ph.D. Abstract: The thesis describes general procedures of estimation and hypothesis testing for linear statistical models. The models compare groups of observation due to dependent variable. Analysis of variance and linar mixed models are commonly used in the major science like pharmacology, biochemistry, economy and others. The thesis is appropriate for general public, because no advanced knowledge of probability and statistics are required. Particular methods are introduced gently and contain some practical examples for easier understanding of theory. Keywords: Analysis of variance (ANOVA), fixed and random effect, linear mixed model 1
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The tempo of speech in theatrical Czech during two periods separated by several decades
Bartošová, Petra ; Palková, Zdenka (advisor) ; Skarnitzl, Radek (referee)
The diploma thesis deals with the issue of speech rate. The theoretical part briefly describes the investigation of speech tempo. It defines the types of tempo examined in this study (articulation rate and modified speaking rate) and factors that influence the tempo of speech. The practical part of the thesis aims to ascertain whether speech rate on the stage has increased and whether it is influenced by the type of text (monologue, dialogue, monological dialogue). The material consists of four theatre productions (Lakomec from 1972 and 2004 and Naši furianti from 1979 and 2006). Therefore we do not investigate gradual changes within the given periods, but instead compare two pairs of productions of the same dramatic text, realized with a time interval of approximately 30 years. A linear mixed-effects model was used as the main method for statistical evaluation of results gathered by measuring the speech rate. The results show that neither articulation rate nor modified speaking rate changed significantly in the observed productions. Differences with some statistical significance were obtained for comparison of tempo in texts of differing type, specifically in texts of different line lengths. The results relate especially to articulation rate, lesser to modified speaking rate.
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Joint Models for Longitudinal and Time-to-Event Data
Vorlíčková, Jana ; Komárek, Arnošt (advisor) ; Omelka, Marek (referee)
Title: Joint Models for Longitudinal and Time-to-Event Data Author: Jana Vorlíčková Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Arnošt Komárek, Ph.D., Department of Probability and Mathematical Statistics Abstract: The joint model of longitudinal data and time-to-event data creates a framework to analyze longitudinal and survival outcomes simultaneously. A commonly used approach is an interconnection of the linear mixed effects model and the Cox model through a latent variable. Two special examples of this model are presented, namely, a joint model with shared random effects and a joint latent class model. In the thesis we focus on the joint latent class model. This model assumes an existence of latent classes in the population that we are not able to observe. Consequently, it is assumed that the longitudinal part and the survival part of the model are independent within one class. The main intention of this work is to transfer the model to the Bayesian framework and to discuss an estimation procedure of parameters using a Bayesian statistic. It consists of a definition of the model in the Bayesian framework, a discussion of prior distributions and the derivation of the full conditional distributions for all parameters of the model. The model's ability to...
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The tempo of speech in theatrical Czech during two periods separated by several decades
Bartošová, Petra ; Palková, Zdenka (advisor) ; Skarnitzl, Radek (referee)
The diploma thesis deals with the issue of speech rate. The theoretical part briefly describes the investigation of speech tempo. It defines the types of tempo examined in this study (articulation rate and modified speaking rate) and factors that influence the tempo of speech. The practical part of the thesis aims to ascertain whether speech rate on the stage has increased and whether it is influenced by the type of text (monologue, dialogue, monological dialogue). The material consists of four theatre productions (Lakomec from 1972 and 2004 and Naši furianti from 1979 and 2006). Therefore we do not investigate gradual changes within the given periods, but instead compare two pairs of productions of the same dramatic text, realized with a time interval of approximately 30 years. A linear mixed-effects model was used as the main method for statistical evaluation of results gathered by measuring the speech rate. The results show that neither articulation rate nor modified speaking rate changed significantly in the observed productions. Differences with some statistical significance were obtained for comparison of tempo in texts of differing type, specifically in texts of different line lengths. The results relate especially to articulation rate, lesser to modified speaking rate.
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Introduction to Linear Mixed Models
Šaroch, Vojtěch ; Kulich, Michal (advisor) ; Komárek, Arnošt (referee)
of the bachelor thesis Title: Introduction to Linear Mixed Models Author: Vojtěch Šaroch Department: Department of Probability and Mathematical Statistics, MFF UK Supervisor: doc. Mgr. Michal Kulich Ph.D. Abstract: The thesis describes general procedures of estimation and hypothesis testing for linear statistical models. The models compare groups of observation due to dependent variable. Analysis of variance and linar mixed models are commonly used in the major science like pharmacology, biochemistry, economy and others. The thesis is appropriate for general public, because no advanced knowledge of probability and statistics are required. Particular methods are introduced gently and contain some practical examples for easier understanding of theory. Keywords: Analysis of variance (ANOVA), fixed and random effect, linear mixed model 1
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Classification based on longitudinal observations
Bandas, Lukáš ; Komárek, Arnošt (advisor) ; Kulich, Michal (referee)
The concern of this thesis is to discuss classification of different objects based on longitudinal observations. In the first instance the reader is introduced to a linear mixed-effects model which is useful for longitudinal data modeling. Description of discriminant analysis methods follows. These methods ares usually used for classification based on longitudinal observations. Individual methods are introduced in the theoretic aspect. Random effects approach is generalized to continuous time. Subsequently the methods and features of the linear mixed-effects model are applied to real data. Finally features of the methods are studied with help of simulations.
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