Statistical analysis of global debt in the world economy

The object of research is global debt (or world debt) in the world economy. Today, the problem of global debt (or global indebtedness) is extremely acute in the world economy. The global debt indicator is the largest in all history of the world economy and has already amounted to 315 trillion USD in 2024. The interdependence of the global debt and the main macroeconomic indicators were investigated in this paper. The main world macroeconomic indicators (GDP, inflation, imports, exports, economic growth) and world population are treated as global in this publication. The forecasting of the global debt index was also carried out until 2035 in the world economy. Statistical analysis methods were used in this research. All research results were obtained through the Statgraphics Centurion statistical package. This package made it possible to carry out the Multiple Analysis of Variance procedure and forecasting through the ARIMA (1,0,0) model. During applying the Multiple Analysis of Variance procedure, this publication included the results of Pearson’s correlation, Spearman’s rank correlation and analysis of covariance. Pearson’s correlation made possible to reveal which global macroeconomic indicators the global debt has very strong and weak connections. Spearman’s rank correlation also demonstrates the interdependence of global debt and global macroeconomic indicators. Covariance analysis gave results that differ from the above methods. In turn, the ARIMA model was used to forecast the global debt until 2035 in this research. The essence of the research results is that global debt has the closest relationships with such global macroeconomic indicators as global GDP, global exports and global imports and world population. Global debt is moderately correlated with such global macroeconomic indicators as global inflation and global economic growth. The ARIMA model predicts an increase of global debt by 2035, rather than a decrease, and, accordingly, these global macroeconomic indicators as interdependent from the debt. In practice, these results can be used to implement appropriate economic policies to balance the main macroeconomic indicators in the economy in order to reduce the indebtedness of states that, in turn, affects on the global debt.