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Table 3 Two-phase 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

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

  1. a0 – 20 mSv subcohort, Excess Relative Risk ERR = βDφ + σDφ e ( − τ D φ ) MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqqGLbqzdaahaaWcbeqaaiabcIcaOiabgkHiTiabes8a0jabbseaenaaBaaameaacqaHgpGzaeqaaSGaeiykaKcaaaaa@358E@ 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.
  2. 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.
  3. cAt φm, β, σ and τ are the fitted Maximum Likelihood Estimate parameter values.
  4. 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)
  5. eAt φm, Dmax is the value of D giving a local maximum of ERRD,φ
  6. f R = 1 + σ/β
  7. Other definitions as in Table 2
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Environmental Health

ISSN: 1476-069X