The brand new solid black line presents the brand new U-shaped relationships involving the carried on x and you may log relative issues

The brand new solid black line presents the brand new U-shaped relationships involving the carried on x and you may log relative issues

Schematic diagram of the optimal equal-HR method. The red dashed line is parallel to the x-axis, which means P1 and P2 have equal log relative hazard values. The optimal equal-HR method searches pairs of cut-points with equal log relative hazard values as candidate cut-points, such as (P1, P2)

The rest of this papers is actually organized as follows. The important points of your own optimal equal-Hr means try showed within the 2nd Area ‘Steps’. The results of the maximum equivalent-Hours system is in contrast to almost every other widely used discretization measures of discrimination strength and you will efficiency thru a representation analysis. I establish the new simulation configurations inside the Area ‘Brand new Simulator Study’. The results of your simulation investigation as well as the application of this new maximum equivalent-Hr approach to your a genuine dataset out of quick cellphone cancer of the lung are exhibited in Point ‘Results’. In the long run, you can find discussion and you may conclusions.

Methods

where h(t) denotes the hazard function, h0(t) denotes the baseline hazard function, t is the observed survival times, X is a vector of covariates, and ? is a vector of estimated regression coefficients. The relative hazard ? can be calculated as the above equation divided by h0(t) in both side:

(mais…)