Apply Armitage-Doll Multistage Carcinogenesis Model into APC Model Sample Clauses

Apply Armitage-Doll Multistage Carcinogenesis Model into APC Model. The hazard function derived from the Armitage-Doll multistage carcinogenesis model is introduced to the APC model. As I discussed before, Armitage-Doll multistage model estimates the hazard function as h(t) = cts—1 where s is the number of stages, t is the age and c is constant. The log-linear model takes the format of log(h(t)) = θ +(s− 1)logt which will be plugged into the APC model to replace the age effect αi. The extended APC model will become log(λij) = µ + αi + βj + γk, i = 1, ..., I, j = 1, ..., J, k = j − i + I, where αi = θ + (s − 1) log ti and ti is the median age in age group i.
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