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Table 7 Optimal (integral) latency, LRT and ERR, including "city", by dose range

From: Reanalysis of cancer mortality in Japanese A-bomb survivors exposed to low doses of radiation: bootstrap and simulation methods

Dose range Site Φm LRT2p-con at Φm LRT2p-lin at Φm ERR1 at Φm Latency Range ERR0.025 at Φm Latency Range
0-20 Stom 11 13.02 p = 0.007 12.27 p = 0.003 0.38 (0.11, 0.70) (0.16, 0.65)* 5-18 5-21* 9-21nl 0.34 (0.11, 0.63) (0.14, 0.59)* 5-21 5-21*
5-500 Stom 8 9.03 p = 0.025 5.74 p = 0.07 0.29 (0.06, 0.60) (0.09, 0.55)* 7-9 5-11*   
0-20 Liver 37 28.41 p < 10-7 18.96 p < 10-4 1.26 (0.61, 2.14) (0.69, 1.97)* 29-43 29-43* 29-41nl 0.68 (0.18, 1.25) (0.24, 1.20)* 29-44 29-44*
5-500 Liver 37 14.47 p = 0.003 10.55 p = 0.005 0.74 (0.25, 1.43) (0.32, 1.30)* 34-41 34-42* 34-41nl   
0-20 Lung 16 10.43 p = 0.03 7.13 p = 0.05 1.00 (0.36, 1.84) (0.42, 1.72)* 10-21 10-21* 12-16nl 0.80 (0.21, 1.66) (0.28, 1.53)* 10-16 10-21*
5-500 Lung 16 21.69 p < 10-4 19.63 p < 10-5 1.33 (0.67, 2.22) (0.73, 2.10)* 7-21 7-21* 12-21nl   
0-20 Panc 10 14.89 p = 0.002 13.7 p < 0.001 11.32 (5.35, 16.46) (5.44, 15.60)* 5-11 5-11* 7-11nl 10.77 (4.21, 16.05) (4.70, 15.31)* 5-11 5-11*
5-500 Panc 42 1.97 p = 0.64 1.96 p = 0.38 0.44 (-, -) -   
0-20 Leuk 25 21.66 p < 10-4 21.66 p < 10-5 1.39 (0.09, 4.31) (0.26, 3.79)* 24-25 24-26* 17-36nl 0.89 (0.11, 2.22) (0.16, 2.16)* 19-33 17-33*
5-500 Leuk 28 14.76 p < 0.001 8.60 p = 0.013 1.83 (0.45, 3.92) (0.59, 3.66)* 24-31 24-32* 24-28nl   
  1. Dose range: data on which the two-phase model is fitted, including "city" as a control covariate
  2. Φm: latency, restricted to integers 5, 6,... 44, which maximises LRT2p-con subject to ERR1 ≥ 0
  3. LRT2p-con: Likelihood Ratio Test comparison of two-phase and control models at Φm. p values derived from Table 8
  4. LRT2p-lin: Likelihood Ratio Test comparison of two-phase and linear models at Φm. p values derived from Table 8
  5. ERR1: Excess Relative Risk at 10 mSv, from the two-phase model fitted across the dose range with latency Φm, and its BCa 95%CI (5000 replications)
  6. Latency range: integral latency range around Φm for which BCa 95%CI is strictly positive
  7. *: BCa 90%CIs (5000 replications)
  8. nl: integral latency range around Φm for which LRT2p-lin > 6
  9. ERR0.025: as above, for 0.25 mSv (computed only when Dose range = 0-20 mSv)