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Statistical Analysis of Sample with Small Size
Holčák, Lukáš ; Hübnerová, Zuzana (referee) ; Karpíšek, Zdeněk (advisor)
This diploma thesis is focused on the analysis of small samples where it is not possible to obtain more data. It can be especially due to the capital intensity or time demandingness. Where the production have not a wherewithall for the realization more data or absence of the financial resources. Of course, analysis of small samples is very uncertain, because inferences are always encumbered with the level of uncertainty.
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Obesity uncovered: the case of the Czech Republic
Veselá, Barbora ; Bryndová, Lucie (advisor) ; Bertoli, Paola (referee)
iv Abstract This thesis uncovers the long-term development of overweight and obesity prevalence in the Czech Republic and finds the associations with relevant lifestyle risk factors and determinants of health. Periodically collected interview and examination survey data from 1993 to 2019 are standardised and used to perform a pooled analysis to inspect trends within the cross-sectional units. The binomial logistic regression is used to estimate changes in the odds of being overweight given a set of socio-economic and lifestyle-related predictors, and to inspect time trends in their magnitude and significance. Adjustment to historical data is calculated to account for methodological changes in BMI classification scheme to ensure comparability of survey outcomes. In addition, the response bias in self-reported anthropometric measurements is confirmed and quantified. Finally, the most recent data (2019) for obesity rates are updated accordingly to reflect this finding. The true prevalence of overweight in the Czech adult population is calculated to 75.8% for men and 58.8% for women, which is higher than interview survey results by 7.7 and 9.6 percentage points respectively. These adjusted results may be utilised by users of survey outcomes to build their analyses on validated data, together with other...
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Statistical tests in stratified fourfold tables
Vook, Peter ; Komárek, Arnošt (advisor) ; Omelka, Marek (referee)
This paper deals with statistical tests in stratified fourfold tables. Several tests of conditional indepen- dence are derived in it. A test of homogeneous association is also described. At first, contingency tables with arbitrary dimensions and multinomial distribution are defined. Then we continue with a description of fourfold tables and their binomial representation. In the next section we deal with an odds ratio and its asymptotic distribution. Formal definition of stratification and relevant terms follows afterwards. In the next chapter a derivation of test statistics for conditional independence tests including the well-known Cochran-Mantel-Haenszel test based on a hypergeometric distribution can be found. This chapter also includes a description of Breslow-Day test of homogeneous association. A numerical simulation of chosen tests is performed eventually. 1
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Statistical Analysis of Sample with Small Size
Holčák, Lukáš ; Hübnerová, Zuzana (referee) ; Karpíšek, Zdeněk (advisor)
This diploma thesis is focused on the analysis of small samples where it is not possible to obtain more data. It can be especially due to the capital intensity or time demandingness. Where the production have not a wherewithall for the realization more data or absence of the financial resources. Of course, analysis of small samples is very uncertain, because inferences are always encumbered with the level of uncertainty.
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