Table 1

Exposure-response estimates of mortality for lung cancer and silica by Poisson regression comparing several specifications of exposure with lag of 10 years (77 lung cancer deaths)

(−2ln likelihood)
p Value1-151RR at 1.0 mg/m3.y1-152RR at
RR at maximum1-153
Log linear (1a):
 Internal adjustment0.05084.9460.0261.0521.2214.728
 External adjustment0.04025.5300.0191.0411.1723.422
Log square root (1b):
 Internal adjustment0.31826.9730.0081.3751.8805.809
 External adjustment0.30138.9960.0031.3521.8195.290
Log quadratic (1c):
 Internal adjustment:β1 0.1377
β2 −0.003278.3090.01571.1441.6343.169
 External adjustment:β1 0.1168
β2 −0.0021610.290.00581.1211.5314.721
Power (1d):
 Internal adjustment0.42686.9570.0081.3441.9764.364
 External adjustment0.43019.1930.0021.3471.9874.414
Linear relative rate (1e):
 Internal adjustment0.16297.5890.0061.1631.6415.980
 External adjustment0.14419.1270.0031.1441.5675.405
Additive excess rate (2):
 External adjustment0.0000882.9430.091-154 1-154 1-154
  • 1-150 Internal adjustment models: stratifying on time since first observed (3 levels), calendar time (9 levels), age (13 levels), and ethnicity (Hispanics v other). External adjustment models: stratifying on ethnicity (Hispanicsv other) and time since first observed (3 levels) with external adjustment for age and calendar time using person-y (US rate). Cumulative exposure was classified in 50 levels in addition to the unexposed level.

  • 1-151 Likelihood ratio test for an exposure effect. (The log quadratic model test is based on two degrees of freedom.)

  • 1-152 Estimate for cumulative exposure of 1.0 mg/m3.y.

  • 1-153 Evaluated at mean and maximum estimated cumulative exposures of deaths from lung cancer.

  • 1-154 Not a relative rate model.