ФОРМУВАННЯ СИСТЕМИ ПОКАЗНИКІВ ОЦІНЮВАННЯ ЕФЕКТИВНОСТІ ДИФУЗІЇ ІННОВАЦІЙ СОЦІАЛЬНО-ЕКОНОМІЧНИХ СИСТЕМ

Олена Володимирівна Гребенікова, Василь Олексійович Либа, Тетяна Володимирівна Денисова
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The object of the research is the process of evaluating the diffusion of innovations in socio-economic systems. Methods used in the study: methods of scientific analysis and synthesis, induction and logical-analytical techniques, as well as methods of correlation, statistical factor analysis and center of gravity. The main hypothesis of the study is the assumption that the assessment of the effectiveness of the spread of innovations in socio-economic systems depends on a set of factors, the analysis of which allows identifying problem areas and improving mechanisms for solving problems. Presenting main material. The Global Innovation Index (GII) indicator system was used as the base of the study of the efficiency of innovation diffusion of socio-economic systems, as the database covers 130 countries of the world and is the most objective source of high-quality statistical information on innovative activity at the macroeconomic level. In the study, the construction of a system of indicators for evaluating the effectiveness of the diffusion of innovations was carried out based on the calculation data of the Global Innovation Index for 35 European countries for 2013-2023. The first stage of the formation of the system of indicators was the creation of the initial system of indicators and conducting a correlation analysis to eliminate multicollinearity between partial indicators. Based on this analysis, certain indicators whose correlation coefficients were in the interval [0.9–1.0] were excluded. At the second stage, using the statistical factor analysis method and making calculations using the StatSoft Statistics software, the initial system of selected indicators was aggregated to eleven factors that sufficiently describe the effectiveness of the diffusion of innovations at the country level. The study of factor loadings of indicators made it possible to determine the composition of partial indicators for each factor, the significance of which exceeds 70%. Among them, using the center of gravity method, representatives were determined for each influencing factor. Using a well-founded system of indicators, it is advisable to build a profile of the country's innovative diffusion effectiveness. Existing distortions make it possible to identify problematic aspects and direct efforts to their solution. The study carried out an analysis of the dynamics of innovation diffusion effectiveness in the form of petal diagrams for four European countries and proposed recommendations for stimulating their innovative activity. Diagnostics showed uneven development of the countries according to the studied factors in 2022-2023. 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Abstract

Modern world development trends, the speeds of changes in technologies, social and economic systems have actualized the issue of effective ways of introducing and spreading innovations. The formation of a mathematically based, complex system of indicators makes it possible to objectively measure the speed of innovation implementation, the level of involvement of interested parties and the general transformation of the target socio-economic landscape. The purpose of the article is the formation of a mathematically based system of indicators for evaluating the effectiveness of the diffusion of innovations in socio-economic systems. The object of the research is the process of evaluating the diffusion of innovations in socio-economic systems. Methods used in the study: methods of scientific analysis and synthesis, induction and logical-analytical techniques, as well as methods of correlation, statistical factor analysis and center of gravity. The main hypothesis of the study is the assumption that the assessment of the effectiveness of the spread of innovations in socio-economic systems depends on a set of factors, the analysis of which allows identifying problem areas and improving mechanisms for solving problems. Presenting main material. The Global Innovation Index (GII) indicator system was used as the base of the study of the efficiency of innovation diffusion of socio-economic systems, as the database covers 130 countries of the world and is the most objective source of high-quality statistical information on innovative activity at the macroeconomic level. In the study, the construction of a system of indicators for evaluating the effectiveness of the diffusion of innovations was carried out based on the calculation data of the Global Innovation Index for 35 European countries for 2013-2023. The first stage of the formation of the system of indicators was the creation of the initial system of indicators and conducting a correlation analysis to eliminate multicollinearity between partial indicators. Based on this analysis, certain indicators whose correlation coefficients were in the interval [0.9–1.0] were excluded. At the second stage, using the statistical factor analysis method and making calculations using the StatSoft Statistics software, the initial system of selected indicators was aggregated to eleven factors that sufficiently describe the effectiveness of the diffusion of innovations at the country level. The study of factor loadings of indicators made it possible to determine the composition of partial indicators for each factor, the significance of which exceeds 70%. Among them, using the center of gravity method, representatives were determined for each influencing factor. Using a well-founded system of indicators, it is advisable to build a profile of the country's innovative diffusion effectiveness. Existing distortions make it possible to identify problematic aspects and direct efforts to their solution. The study carried out an analysis of the dynamics of innovation diffusion effectiveness in the form of petal diagrams for four European countries and proposed recommendations for stimulating their innovative activity. Diagnostics showed uneven development of the countries according to the studied factors in 2022-2023. The originality and practical significance the research consists in the fact that a mathematically based system of indicators of the effectiveness of the diffusion of innovations of socio-economic systems can be used for a comprehensive assessment, identification of problematic aspects and an increase in the level of diffusion of innovations in countries. Conclusions and prospects for further research: the system of indicators for evaluating the effectiveness of the diffusion of innovations in socio-economic systems is substantiated, which makes it possible to supplement the theoretical and methodological foundations of the management of innovative development processes. The system of indicators formed by the authors, which are representatives of each factor, should be used for an integral assessment of the effectiveness of the diffusion of innovations at the macroeconomic level, as well as for determining the problematic directions of the diffusion of innovations in socio-economic systems in order to direct the state innovation policy to their improvement.
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建立评估社会经济系统创新传播效率的指标体系
现代世界的发展趋势,技术、社会和经济制度的变化速度,使引入和传播创新的有效方法问题成为现实。建立一个以数学为基础的复杂指标体系,可以客观地衡量创新的实施速度、有关各方的参与程度以及目标社会经济环境的总体变化。文章的目的是建立一个以数学为基础的指标体系,用于评估创新在社会经济系统中的传播效果。研究对象是社会经济体系中创新传播的评估过程。研究中使用的方法:科学分析和综合方法、归纳和逻辑分析技术,以及相关、统计因素分析和重心分析方法。本研究的主要假设是,对社会经济体系中创新传播效果的评估取决于一系列因素,对这些因素的分析有助于确定问题领域并改进解决问题的机制。介绍主要材料。全球创新指数(GII)指标体系被用作研究社会经济体系创新传播效率的基础,因为该数据库涵盖世界 130 个国家,是宏观经济层面创新活动高质量统计信息的最客观来源。在这项研究中,根据 2013-2023 年 35 个欧洲国家的全球创新指数计算数据,构建了创新传播效率评估指标体系。指标体系构建的第一阶段是创建初始指标体系,并进行相关性分析以消除部分指标之间的多重共线性。在此分析基础上,剔除了相关系数在[0.9-1.0]区间内的某些指标。在第二阶段,使用统计因子分析方法,并通过 StatSoft 统计软件进行计算,将最初选定的指标体系汇总为 11 个因子,这些因子能够充分描述国家层面的创新传播效果。通过对指标的因子载荷进行研究,可以确定每个因子的部分指标构成,其显著性超过 70%。其中,利用重心法确定了每个影响因素的代表。利用基础扎实的指标体系,可以建立国家创新推广效率的概况。现有的扭曲现象使我们有可能找出问题所在,并努力加以解决。该研究以花瓣图的形式对四个欧洲国家的创新传播效果进行了动态分析,并提出了激励其创新活动的建议。诊断结果显示,根据所研究的因素,各国在 2022-2023 年的发展不平衡。这项研究的独创性和实际意义在于,基于数学的社会经济系统创新传播效率指标体系可用于综合评估、确定问题所在以及提高各国的创新传播水平。结论和进一步研究的前景:社会经济体系创新传播效果评估指标体系已得到证实,从而有可能补 充创新发展进程管理的理论和方法基础。作者形成的指标体系是各因素的代表,应用于在宏观经济层面对创新传播的有效性进行综合评估,以及确定社会经济体系中创新传播的问题方向,以指导国家创新政策的改进。
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