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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.