. Author manuscript; available in PMC: 2022 Sep 1.

Published in final edited form as: Am J Ind Med. 2021 Jun 10;64(9):758–770. doi: 10.1002/ajim.23265

Table 3.

Effect of scaling choices for parameter a in cumulative rank [cumOTr = Σ(rank^a)] summed over time, for predicting bladder cancer incidence in workers from a chemical manufacturing plant (n=1,875); largest chi square indicates best fit.

Parameter a	0.5	1.0	1.2	1.5	2.0	2.5
chi square (2df)	30.04	32.64	32.12	30.15	27.67	25.84

Notes: chi square (2df) values for parameters c1, c2 from final model (Table 2, Model 5); chi square (2df) = change in -2ln(L) with removal of dur and cumOTr terms.

Model: CaOut = exp(a0+b1×rac0+c1×dur) × (1+c2×cumOTr) × expt.

Abbreviation: df, degrees of freedom.