Table 2.

Transient model^a

	Stomach	Liver	Lung
gen	M/F	M/F	M/F
φmb	11.85	36.90	13.60
ca Dφ > 0	1323	231	506
σc	77.56	33.51	34.72
τ	129.19	3.56	3.78
LRTtrans-lind	4.49	10.89	14.39
LRTtrans-con	5.91	18.12	15.70
ERR0.025,φe	0.08 (-0.11, 0.23)	0.77 (0.18, 1.67)	0.79 (0.20, 2.01)
ERR1,φ	0.00 (-0.06, 0.16)	0.95 (0.28, 1.99)	0.80 (0.19, 1.99)
Dmaxf	0.01	0.28	0.27
ERRDmax,φ	0.22 (-0.04, 0.61)	3.46 (1.00, 7.11)	3.38 (0.90, 8.43)
Dev	1676.81	1251.10	1039.00
Chi-sq	3397.32	2436.33	2728.08
df	2991	2991	2991
Excess	91.23	95.89	214.39
	Colon	Uterus	All solid
gen	M/F	F	M/F
φmb	43.98	26.91	43.86
ca Dφ > 0	28	127	365
σc	26.69	275.88	11.89
τ	5.98	132.36	3.68
LRTtrans-lind	3.17	4.48	11.75
LRTtrans-con	3.20	4.48	16.78
ERR0.025,φe	0.58 (-0.25, 1.85)	0.25 (-0.09, 1.13)	0.27 (0.07, 0.51)
ERR1,φ	0.07 (-0.49, 1.71)	0.00 (-0.23, 1.06)	0.30 (0.03, 0.63)
Dmaxf	0.17	0.01	0.27
ERRDmax,φ	1.64 (-0.60, 6.10)	0.77 (-0.54, 5.35)	1.19 (0.41, 2.06)
Dev	716.79	634.49	2121.27
Chi-sq	3473.93	1051.37	2765.95
df	2991	1512	2991
Excess	8.24	19.99	78.00

^a 0 – 20 mSv subcohort, Excess Relative Risk ERR = σD_φ ${\text{e}}^{(-\tau {\text{D}}_{\phi })}$ with τ ≥ 0 and σ,τ constrained by 1 + ERR ≥ 0 for all data cells; for D_φ see Table 1. The linear model is nested by τ = 0; the control model is nested by σ = 0.

^b chosen in the range 5 – 44 years. to minimise transient model Deviance; where italicised φ_m minimises Dev subject to ERR ≥ 0, equivalent to σ ≥ 0.

^c At φ_m, σ and τ are the fitted Maximum Likelihood Estimate parameter values.

^d At φ_m, the likelihood ratio test LRT_trans-lin compares the transient with the linear model and LRT_trans-con compares the transient model with the control model. Each LRT is χ² distributed on 1 degree of freedom.

^e At φ_m, ERR_D,φ is the Excess Relative Risk at D_φ = D, with 95% Profile Likelihood Confidence Interval.

^f At φ_m, Dmax = 1/τ is the value of D which maximises ERR_D,φ

^g n/a indicates no lower limit could be calculated with 1 + ERR ≥ 0

Other definitions and total cases as Table 1.