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Mixed Models and Their Application in Medical Data Analysis
 Mohammad, Adam ; Malá, Ivana (advisor) ; Bašta, Milan (referee)
This bachelor thesis deals with the description of the linear mixed model. At first, the model is described theoretically and the basic terms, model specification, estimation of unknown parameters, model-building and model diagnostics are explained. In addition, types of data for which the model may be applied are listed and some examples of applications in medicine are given as well. The second part of this thesis deals with the practical application of the model for analysis of longitudinal data from a medical research. The data contain information about 12 patients to whom a drug named theophylline was given and the concentration of this drug in blood was measured within one day. By statistical software R the dependency of the concentration on time, dose and weight of the patient is described. However the results of the analysis show that the dependency of concentration on time cannot be described by a simple function, therefore this dependency has to be described and the data modified prior to application of linear mixed model on data. The other possibility is to use a different model.
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