Skip to main content

Table 1 Linear modela

From: Low dose radiation and cancer in A-bomb survivors: latency and non-linear dose-response in the 1950–90 mortality cohort

 

Stomach

Liver

Lung

gender

M/F

M/F

M/F

cases b

1482

540

524

φ m c

6.66

38.58

16.90

ca D φ > 0 d

1412

172

494

LRT lin-con e

2.09

11.21

2.26

ERR 1,φ fg

0.09 (-0.03, 0.22)

0.69 (0.25, 1.26)

0.16 (-0.05, 0.42)

Dev h

1680.64

1258.02

1052.43

Chi-sq i

3205.08

2389.85

2500.37

df j

2992

2992

2992

Excess k

38.13

27.17

23.20

 

Colon

Uterus

All solid

gender

M/F

F

M/F

cases b

214

263

4379

φ m c

43.91

6.12

43.86

ca D φ > 0 d

33

262

365

LRT lin-con e

0.19

0.51

5.03

ERR 1, φ fg

0.17 (-0.44, 1.17)

0.10 (-0.16, 0.44)

0.26 (0.03, 0.52)

Dev h

719.80

638.46

2133.03

Chi-sq i

3497.50

1010.56

2769.51

df j

2992

1513

2992

Excess k

1.51

8.88

25.01

  1. a0 – 20 mSv subcohort, Excess Relative Risk ERR = βDφ with β constrained by 1 + ERR 0 for all data cells. Dφ is the weighted adjusted colon dose (neutron RBE = 10), lagged by φ years, in 10 mSv units. The control model is nested by β = 0.
  2. bdeaths in the subcohort from the specified cancer
  3. cLatency φm is chosen in the range 5 – 44 years. to minimise linear model Deviance for the given cancer site and gender. Where italicised, φm minimises Dev subject to ERR ≥ 0, equivalent to β ≥ 0
  4. ddeaths in the subcohort from the specified cancer, for which Dφ > 0 where φ = φm
  5. eThe likelihood ratio test LRTlin-con compares the fitted linear model with the control model at φm and is χ2 distributed on 1 degree of freedom
  6. fERR1,φ is the Excess Relative Risk at Dφ = 1 with φ = φm
  7. g95% Profile Likelihood Confidence Intervals are calculated with φ fixed at φm
  8. hDeviance of the fitted model
  9. iPearson Chi-Square of the fitted model
  10. jDegrees of Freedom of the fitted model
  11. kdifference between Observed (= Expected) cases and the number expected if Dφ is set to 0 in every cell after fitting the model