A data-based classification of Slavic languages: Indices of qualitative variation applied to grapheme frequencies

The Ord’s graph is a simple graphical method for displaying frequency distributions of data or theoretical distributions in the two-dimensional plane. Its coordinates are proportions of the first three moments, either empirical or theoretical ones. A modification of the Ord’s graph based on proportions of indices of qualitative variation is presented. Such a modification makes the graph applicable also to data of categorical character. In addition, the indices are normalized with values between 0 and 1, which enables comparing data files divided into different numbers of categories. Both the original and the new graph are used to display grapheme frequencies in eleven Slavic languages. As the original Ord’s graph requires an assignment of numbers to the categories, graphemes were ordered decreasingly according to their frequencies. Data were taken from parallel corpora, i.e., we work with grapheme frequencies from a Russian novel and its translations to ten other Slavic languages. Then, cluster analysis is applied to the graph coordinates. While the original graph yields results which are not linguistically interpretable, the modification reveals meaningful relations among the languages. M. Koščová and J. Mačutek were supported by VEGA grant 2/0047/15. M. Koščová Department of Applied Mathematics and Statistics, Comenius University, Mlynská dolina, SK-84248 Bratislava, Slovakia J. Mačutek Department of Applied Mathematics and Statistics, Comenius University, Mlynská dolina, SK-84248 Bratislava, Slovakia Tel.: +421-2-60295717 Fax: +421-2-65412305 E-mail: [email protected] E. Kelih Department of Slavonic Studies, University of Vienna, Spitalgasse 2, Hof 3, AT-1090 Wien, Austria 2 Michaela Koščová et al.