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Objective To explore whether early treatment with integrated Chinese and western medicine can prolong the survival time of patients with advanced digestive tract malignant tumors using a new statistical analysis method and real-world data. Methods Based on the left truncated data, the Copula model was used to construct a joint model of the time from stage IV diagnosis to treatment and the time to overall survival. The estimated value and significance of the Copula dependence parameter, η, were obtained to evaluate the dependence strength between the two event times of interest. Results The numerical simulation showed that this method performed well when the left truncation rate was 20%. The estimated Copula dependence parameter η), in the real data analysis was 0.279 (P<0.05), indicating that there was a significant correlation between times to treatment and overall survival. Gender, the Eastern Cooperative Oncology Group score, targeted treatment, and metastatic site 1 were significant factors associated with overall survival. Conclusion The new statistical method provided valuable insights and analytical tools for the effectiveness of integrated traditional Chinese and western medicine in treating patients with advanced digestive tract malignant tumors. [ABSTRACT FROM AUTHOR]