Mathematical Modeling of Marital Success: A Quantitative Analysis of Communication, Conflict Resolution and Financial Synergy

Abstract

This study formulates a mathematical model to predict marital success by analyzing the interplay between communication patterns, conflict resolution strategies, and financial synergy. A logistic regression framework was applied to survey data, capturing key variables such as marital satisfaction, time spent together, communication quality, and shared financial goals. The model equation demonstrates that marital satisfaction X1 positively impacts success P(Y=1), while time spent together X2 exhibits a complex relationship. Communication X3, shared financial goals X4, and conflict resolution X5 have varying but significant influences, expressed as: Correlation analysis revealed a moderate positive relationship r=0.56 between time spent together and marital satisfaction. Multivariate analysis of variance (MANOVA) further validated the significant effects of conflict resolution F=11.12, p<0.0001 and shared financial goals F=38.12, p<0.0001 on marital satisfaction, time spent together, and communication quality as composite dependent variables. Visualizations underscored trends across demographic factors, highlighting variations by gender, education level, and communication strategies. The logistic regression model achieved a predictive accuracy of 92.24%, emphasizing its robust utility. These findings offer a rigorous, data-driven foundation for understanding marital dynamics, paving the way for actionable interventions in relational counseling and policy formulation. This mathematical framework bridges qualitative insights and quantitative analysis, advancing the scientific study of marital success.