| |
Stomach
|
Liver
|
Lung
|
|---|
|
gen
|
M/F
|
M/F
|
M/F
|
|
φ
m
b
|
11.89
|
36.90
|
13.60
|
|
ca D
φ
> 0
|
1311
|
231
|
506
|
|
β
c
|
0.46
|
1.43
|
0.44
|
|
σ
|
119.96
|
290.09
|
37.92
|
|
τ
|
82.67
|
76.82
|
4.47
|
|
LRT
2p-trans
d
|
15.68
|
16.76
|
0.34
|
|
LRT
2p-lin
|
19.64
|
27.64
|
14.73
|
|
LRT
2p-con
|
21.19
|
34.87
|
16.04
|
|
ERR
0.025,φ
|
0.39 (0.08, 0.86)
|
1.10 (0.26, 2.37)
|
0.86 (0.14, 3.34)
|
|
ERR
1,φ
|
0.46 (0.11, 0.94)
|
1.43 (0.48, 2.95)
|
0.88 (0.12, 3.36)
|
|
Dmax
e
|
0.01
|
0.01
|
0.23
|
|
ERR
Dmax,φ
|
0.54 (0.17, 1.04)
|
1.41 (0.50, 2.86)
|
3.23 (0.09, 9.39)
|
|
Dev
|
1661.53
|
1234.35
|
1038.66
|
|
Chi-sq
|
3408.01
|
2447.95
|
2770.40
|
|
df
|
2990
|
2990
|
2990
|
|
R
f
|
262.62
|
204.11
|
86.39
|
|
Excess
|
390.00
|
126.36
|
224.43
|
| |
Colon
|
Uterus
|
All Solid
|
|
gen
|
M/F
|
F
|
M/F
|
|
φ
m
b
|
20.28
|
26.91
|
43.86
|
|
D
φ
> 0
|
184
|
127
|
365
|
|
β
c
|
-0.74
|
0.47
|
-0.62
|
|
σ
|
11.32
|
198.10
|
13.10
|
|
τ
|
2.66
|
81.12
|
2.32
|
|
LRT
2p-trans
d
|
1.32
|
1.83
|
1.14
|
|
LRT
2p-lin
|
3.01
|
6.31
|
12.90
|
|
LRT
2p-con
|
3.54
|
6.31
|
17.93
|
|
ERR
0.025,φ
|
0.25 (-0.44, 1.46)
|
0.66 (-0.10, 2.44)
|
0.27 (0.05, 0.54)
|
|
ERR
1,φ
|
0.05 (-0.53, 1.15)
|
0.47 (-0.32, 2.12)
|
0.27 (-0.04, 0.66)
|
|
Dmax
e
|
0.32
|
0.01
|
0.35
|
|
ERR
Dmax,φ
|
1.31 (-0.71, 1.51)
|
0.90 (-0.17, 2.96)
|
1.59 (0.03, 2.54)
|
|
Dev
|
716.45
|
632.66
|
2120.13
|
|
Chi-sq
|
3339.24
|
1047.11
|
2759.48
|
|
df
|
2990
|
1511
|
2990
|
|
R
f
|
-14.36
|
425.41
|
-19.98
|
|
Excess
|
29.34
|
45.89
|
74.59
|
-
a0 – 20 mSv subcohort, Excess Relative Risk ERR = βDφ + σDφ with τ ≥ 0 and β,σ,τ constrained by 1 + ERR ≥ 0 for all data cells; for Dφ see Table 1. The transient model is nested by β = 0; the linear model is nested by σ = 0 or by τ = 0; the control model is nested by β = σ = 0.
-
bchosen in the range 5 – 44 years. to minimise two-phase model Deviance; where italicised φm minimises Dev subject to ERR0.025,φ ≥ 0, a weaker condition than β, σ ≥ 0.
-
cAt φm, β, σ and τ are the fitted Maximum Likelihood Estimate parameter values.
-
dAt φm, the likelihood ratio tests LRT2p-trans and LRT2p-lin compare the two-phase with the transient and linear models (χ2 on 1 df); and LRT2p-con compares the two-phase model with the control model (χ2 on 2 df)
-
eAt φm, Dmax is the value of D giving a local maximum of ERRD,φ
-
f
R = 1 + σ/β
- Other definitions as in Table 2
