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The purpose of this research is to identify whether synoptic patterns and variables were statistically significantly different between East Coast United States track bomb and ordinary cyclogenesis. The differentiation of East Coast track bomb and ordinary cyclogenesis was completed through the utility of the principal component analysis, a K-means cluster analysis, a subjective composite analysis, and permutation tests. The principal component analysis determined that there were three leading modes of variability within the bomb and ordinary composites. The K-means cluster analysis was used to cluster these leading patterns of variability into three distinct clusters for the bomb and ordinary cyclones. The subjective composite analysis, created by averaging all the variables from each cyclone in each cluster, identified several synoptic variables and patterns to be objectively compared through permutation tests. The permutation tests revealed that synoptic variables and patterns associated with bomb cyclogenesis statistically significantly differ from ordinary cyclogenesis.

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The master's thesis deals with answer of distribution of countries, which was determined in 1965 in the theoretical concept by John Hajnal, in contemporary Europe. The main aim was to reanalyze the original division of countries using cluster analysis on the basis demographic indicators: average age at first marriage men and women, the average age of a woman at first child birth, the number of divorces per 100 marriages, the proportion of live births in marriage and out of marriage. The data used came from the Eurostat database from 1990 to 2015. Cluster analyzes of European countries were also performed according to the value orientations of their inhabitants in the area of social relations and life expectations. Respondents' statements came from the European Social Survey from 2002 to 2018. Cluster analysis of selected demographic indicators did not confirm two models of Hajnal's concept of marital behavior. Cluster analyzes of respondents' value orientations confirmed the existence of two value approaches to life priorities - a preference for traditionally accepted values and a preference for a dynamic and efficient lifestyle. Keywords Hajnal line, family, marriage, divorce rate, ESS research project, K-means cluster analysis, values