Affiliations: [a] Department of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad-826004, India | [b] Section of Biostatistics, Centre for Cancer Epidemiology, Tata Memorial Centre, Navi Mumbai, India | [c] Homi Bhabha National Institute, Mumbai, India
Correspondence:
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Corresponding author: Pragya Kumari, Department of Mathematics & Computing, Indian Institute of Technology Dhanbad, Dhanbad-826004, India. E-mail: [email protected],[email protected].
Abstract: BACKGROUND: HER2, ER, PR, and ERBB2 play a vital role in treating breast cancer. These are significant predictive and prognosis biomarkers of breast cancer. OBJECTIVE: We aim to obtain a unique biomarker-specific prediction on overall survival to know their survival and death risk. METHODS: Survival analysis is performed on classified data using Classification and Regression Tree (CART) analysis. Hazard ratio and Confidence Interval are computed using MLE and the Bayesian approach with the CPH model for univariate and multivariable illustrations. Validation of CART is executed with the Brier score, and accuracy and sensitivity are obtained using the k-nn classifier. RESULTS: Utilizing CART analysis, the cut-off value of continuous-valued biomarkers HER2, ER, PR, and ERBB2 are obtained as 14.707, 8.128, 13.153, and 6.884, respectively. Brier score of CART is 0.16 towards validation of methodology. Survival analysis gives a demonstration of the survival estimates with significant statistical strategies. CONCLUSIONS: Patients with breast cancer are at low risk of death, whose HER2 value is below its cut-off value, and ER, PR, and ERBB2 values are greater than their cut-off values. This comparison is with the patient having the opposite side of these cut-off values for the same biomarkers.
