Importance The article analyzes the existing methodologies for ranking of innovative development of regions since there is a problem of choosing the most adequate one for comparative assessment of the level of innovation development of regions, because the results of the existing methods tend to vary considerably. Objectives The paper aims to form a generalized universal algorithm to create ratings and methodologies for comparative assessment of economic objects, and test the hypothesis that the metrics that characterize the quality of multivariable data clustering allow evaluating the impact of the tools offered in the techniques on the quality of the rating assessment of innovative development level of regions. Methods For the study, we used processing techniques of multivariate statistics, cluster analysis, and the metrics characterizing the multidimensional data clustering quality. Results The article offers certain tools for multivariate data clustering quality assessment. Using the tools, we have developed a methodological approach and software solution that allow to quantitatively and qualitatively compare input data, methodological schemes, and the results of rating evaluation, calculated by different methods, as well as create new integrated assessment methodologies for innovation development of territories. Relevance The developed methodological approach and evaluation tools can be used to analyze other objects and domains that require integrated assessment and comparative rating calculation.
Bortnik I.M., Senchenya G.I., Mikheeva N.N., Zdunov A.A., Kadochnikov P.A., Sorokina A.V. [A system of measurement and monitoring of the innovative activity in Russian regions]. Innovatsii = Innovation, 2012, no. 9, pp. 48–61. (In Russ.)
Bortnik I.M., Zinov V.G., Kotsyubinskii V.А., Sorokina А.V. [Indicators of innovative development of Russian regions for the purposes of monitoring and control]. Innovatsii = Innovation, 2013, no. 11, pp. 21–32. (In Russ.)
Mikheeva N.N. [A comparative analysis of innovative systems in the Russian regions]. Prostranstvennaya ekonomika = Spatial Economics, 2014, no. 4, pp. 61–81. (In Russ.)
Mikheeva N.N [To the question of innovation rankings of Russian regions]. Sovremennye proizvodstvennye sily = Modern Productive Forces, 2013, no. 2, pp. 54–67. (In Russ.)
Untura G.A., Esikova Т.N., Zaitsev I.D., Moroshkina О.N. [Problems and analysis tools of innovation development of subjects of the Russian Federation]. Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriya: Sotsial'no-ekonomicheskie nauki = Vestnik of Novosibirsk State University. Series: Social and Economic Sciences, 2014, vol. 14, iss. 1, pp. 81–100. (In Russ.)
Kiselev V.N. [A comparative analysis of the innovation activity of subjects of the Russian Federation]. Innovatsii = Innovation, 2010, no. 4, pp. 44–55. (In Russ.)
Reiting innovatsionnogo razvitiya sub"ektov Rossiiskoi Federatsii: Vyp. 2 [Rating of innovative development of the Russian Federation subjects]. Moscow, National Research University Higher School of Economics Publ., 2014, Issue 2, 88 p.
Asheim B.T., Isaksen A. Regional Innovation Systems: The Integration of Local ‘Sticky’ and Global ‘Ubiquitous’ Knowledge. The Journal of Technology Transfer, 2002, vol. 27, iss. 1, pp. 77–86. doi: 10.1023/A:1013100704794
Asheim B.T., Coenen L. Knowledge Bases and Regional Innovation Systems: Comparing Nordic Clusters. Research Policy, 2005, vol. 34, iss. 8, pp. 1173–1190. doi: 10.1016/j.respol.2005.03.013
Cooke Ph., Laurentis C., Todtling F., Trippl M. Regional Knowledge Economies: Markets, Clusters and Innovation. Cheltenham, Edward Elgar, 2007, 328 p.
Khalimova S.R. [Evaluation of regional differences of the innovation activity development]. XV Aprel'skaya mezhdunarodnaya nauchnaya konferentsiya po problemam razvitiya ekonomiki i obshchestva: v 4-kh kn [Proc. 15th April Int. Sci. Conf. on Development of Economy and Society: in 4 volumes]. Moscow, HSE Publ., 2015, pp. 301–326.
Kaneva М.А., Untura G.А. [Diagnosis of the innovative development of Siberia]. Region: ekonomika i sotsiologiya = Region: Economics and Sociology, 2013, no. 2, pp. 173–197. (In Russ.)
Kazantsev S.V. [The extent of innovation in the constituent entities of the Federation]. Region: ekonomika i sotsiologiya = Region: Economics and Sociology, 2012, no. 4, pp. 111–138. (In Russ.)
Sivogolovko E.V. [Methods of evaluating the quality of clear clustering]. Komp'yuternye instrumenty v obrazovanii = Computerized Tools in Education, 2011, no. 4(96), pp. 14–31. (In Russ.)
Vyatchenin D.A. Nechetkie metody avtomaticheskoi klassifikatsii [Fuzzy methods of automatic classification]. Minsk, Tekhnoprint Publ., 2004, 219 p.
Halkidi M., Batistakis Y., Vazirgiannis M. Cluster Validity Methods: Part II. SIGMOD Rec., 2002, vol. 31, no. 3, pp. 19–27.
Meilă M. Comparing Clusterings – An Information Based Distance. Journal of Multivariate Analysis, 2007, vol. 98, no. 5, pp. 873–895.
Shmidt Yu.D., Martyshenko N.S. Modern Approaches to Consumer Markets Segmenting. Mediterranean Journal of Social Sciences, 2015, vol. 6, no. 5, pp. 367–374.
Mandel' I.D. Klasternyi analiz [A cluster analysis]. Moscow, Finansy i Statistika Publ., 1988, 176 p.
Shmidt Yu.D., Lobodina О.N. [A statistical study of the basic characteristics of the country's economic space]. Vestnik Tikhookeanskogo gosudarstvennogo ekonomicheskogo universiteta = Vestnik of Pacific State Economics University, 2013, no. 1(65), pp. 22–35. (In Russ.)
