The modern Ukrainian economy is in a dire situation. It cannot function normally when active hostilities are taking place in the country. Therefore, the problem of determining the factors of the socioeconomic development of the state and its economic security now comes to the fore. Among them, the digitalisation of the country plays an important role. Considering the relevance of the recovery of the Ukrainian economy, which suffered a decline due to the war, it is considered appropriate to carry out a comprehensive analysis of the digitisation state of the country by modern methods. The paper is devoted to the problem of interdependence estimation of the digitisation and socioeconomic development indices of the country. The article aims to improve the complex of mathematical models for assessment and analysis of the digitisation state of the country, which will be supplemented with a model of interdependence indicators of digitisation and socioeconomic development of the state. Implementing the model will allow for determining digitalisation development directions, estimating the socioeconomic development level of the state, as well as ensuring its economic security. In the process of research, the following tasks were set to be solved: to select and form a base of indicators necessary for modelling; to develop a model; to investigate the canonical correlation between socioeconomic and digital development indicators by the canonical analysis methods; to investigate the dispersion of canonical variables observations and to find out the most significant areas of digitalisation improvement. As a result of the study, the highest correlation was evaluated between the network readiness index and the socioeconomic progress index (coefficient 0.98). The socioeconomic progress index is also related to the e-government development index (0.92) and the information and communication technology development index (0.90). Thus, the analysis performed in the paper of the correlation between the sets of digitalisation and the socioeconomic development indexes allows us to conclude the presence of a high level of their significant influence and the importance of forming a system of measures to ensure the proper level of the digital development of the country in these directions.
Keywords: modelling, methods, canonical analysis, digitalisation, socioeconomic development, economic security of the state.