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Table 4 Category 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

D φ > 0

1311

231

506

T 1 c

505007.81

104710.40

452429.89

T 2

433148.43

100577.71

389939.77

T 3

453123.28

97629.42

408114.01

LRT cat-con d

21.59

33.84

19.30

β 1 e

0.48 (0.21, 0.81)

1.30 (0.68, 2.15)

0.96 (0.17, 2.46)

β 2

0.16 (-0.08, 0.46)

0.85 (0.25, 1.75)

1.84 (0.66, 4.08)

β 3

0.42 (0.16, 0.75)

1.39 (0.70, 2.34)

1.33 (0.38, 3.11)

Dev

1661.13

1235.38

1035.39

Chi-sq

3391.69

2451.56

3111.30

df

2990

2990

2990

 

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

T 1 c

342887.98

128431.04

24656.43

T 2

288767.71

153667.68

21860.18

T 3

307331.28

145793.72

21917.87

LRT cat-con d

1.57

8.08

16.31

β 1 e

0.07 (-0.40, 0.95)

0.92 (0.19, 2.08)

0.13 (-0.06, 0.34)

β 2

0.32 (-0.31, 1.52)

0.28 (-0.30, 1.29)

0.43 (0.16, 0.74)

β 3

0.02 (-0.44, 0.89)

0.52 (-0.08, 1.48)

0.29 (0.06, 0.56)

Dev

718.42

630.89

2121.74

Chi-sq

3625.26

1038.26

2772.40

df

2990

1511

2990

  1. a0 – 20 mSv subcohort, Excess Relative Risk ERR = β1dosecat1 + β2dosecat2 + β3dosecat3 with βi constrained by 1 + βi ≥ 0; dosecat1 = 1 if 0 < Dφ ≤ 0.025, and = 0 otherwise; dosecat2 = 1 if 0.025 < Dφ ≤ 0.05, and = 0 otherwise; dosecat3 = 1 if 0.05 < Dφ, and = 0 otherwise. The Control model is nested by β1 = β2 = β3 = 0.
  2. bLatency φm is chosen from the results of the two-phase model (Table 3)
  3. cAt φm, Tj is the p-y observation for which dosecatj = 1, j = 1,2,3
  4. dAt φm, the likelihood ratio test LRTcat-con compares the category model with the control model (χ2 on 3 df)
  5. eAt φm, βi are the fitted Maximum Likelihood Estimate parameter values, with 95%CI's
  6. Other definitions as in Table 3.