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Modelling survival data to account for model uncertainty: a single model or model averaging?
Sri Astuti Thamrin1, James M McGree2, Kerrie L Mengersen2
1Mathematics Department, Hasanuddin University, Jl. Perintis Kemerdekaan Km 10, 90245 Makassar, South Sulawesi Indonesia ; Mathematics Department, Hasanuddin University, Jl. Perintis Kemerdekaan Km 10, 90245 Makassar, South Sulawesi Indonesia.
Bayesian model averaging (BMA) improves lymphoma cancer survival predictions when sample sizes are small. This approach accounts for model uncertainty, offering robust insights into gene expression and patient survival relationships.
Area of Science:
- Biostatistics
- Genomics
- Cancer Research
Background:
- Predicting patient survival is crucial in cancer research.
- Traditional methods often select a single
- best
- statistical model based on data fit.
- Model uncertainty can impact the reliability of survival predictions.
Purpose of the Study:
- To evaluate Bayesian model averaging (BMA) for predicting lymphoma cancer survival.
- To compare BMA with single model selection approaches.
- To investigate the influence of sample size on model selection and prediction accuracy.
Main Methods:
- Utilized three survival models: single Weibull, mixture of Weibulls, and a cure model.
- Employed Bayesian model averaging (BMA) to handle model uncertainty.
- Applied the Bayesian information criterion (BIC) for model comparison.
Main Results:
- With large sample sizes, a single model often emerges as superior based on BIC.
- Reduced sample sizes obscured the superiority of any single model.
- BMA provided robust predictions, especially when sample size was limited.
Conclusions:
- BMA is a valuable approach for cancer survival analysis, particularly when model uncertainty is high or sample sizes are small.
- BMA can yield more reliable predictions than single-model approaches in certain scenarios.
- This method facilitates deeper understanding of gene expression's role in patient survival.
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