Corrigendum: direct adjustment for confounding by smoking reduces radiation-related cancer risk estimates of mortality among male nuclear workers in Japan, 1999-2010.

We found some trivial errors which might confuse reader. The errors can be identified as the following two types. 
 
 (1) The one is that misuse of "ERR" and "ERR/Sv". We denoted "Table 4 shows ERRs/Sv and 90% CIs ..." in line 7 of page 366. While we denoted "ERR and 90% CI for all cancers, excluding leukaemia, by dose category ..." in title of Table 4. The values described in Table 4 were ERR by dose category and not ERR/Sv. In addition, the explanation about the model that derived ERR by dose category is better to be added. Therefore, the description mentioned above should be changed as follows.
 (Misprinted) 
 Table 4 shows ERRs/Sv and 90% CIs for all cancers excluding leukaemia by dose category.
 (Corrected)
 Table 4 shows ERRs which were defined as follow equation and 90% CIs for all cancers excluding leukaemia by dose category. 
 
 λ=λ0 (a,c,y,r,s)exp(α1z1+α2z2+α3z3) (1+βi di)
 
 where di is the dose category, and βi is the ERR by dose category. The lowest dose category was set as reference.
 
 (2) The other were errors in surface caput of several tables. We described "ERR without adjustment for smoking" and "ERR with adjustment for smoking" in Table 4. These are correct description. However, "ERR with adjustment for smoking" was described as "For smoking" in Table 2. In addition, "Without adjustment" and "With adjustment" denoted in the surface caput of Table 5, 6, 7 should be denoted as "Without adjustment for smoking" and "With adjustment for smoking".
 The author wishes to apologies for the errors.&#13.