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We also compared the two groups by the risk difference.
3. The gain per 1000 is calculated by multiplying the PRI by the risk difference.
The significant improvement achieved by the Risk Difference Model suggests that there might have been an a priori higher risk of cancer incidence in the intervention than in the control group, i. e., the mortality benefit from screening was concealed by the higher lung cancer risk in the intervention group.
Despite the significant improvement in model fit achieved by the Risk Difference Model, from the perspective of model parsimony our Simple Model might still be the best choice from among all six models discussed here, especially if we seek to extend MISCAN to simulations of other lung cancer screening programs that do not suffer from suboptimal randomization of subjects to experimental condition.
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Furthermore, relative statistics are unitless, which hides the fact that a low response rate remains very low even when scaled up by a seemingly large effect; by contrast, the risk difference retains the units of the measurement scale, showing that a difference between low response rates is itself very small.
Mortality at 3 months was compared between the groups by calculating the Risk difference.
In fact, this function is flattened by decreasing the risk difference for the probability of disease for levels of X below and above θ.
This line summarizes essential individual-level information in a two-by-two table: the risk difference, the risks in the exposed and the risks in the unexposed.
The approach discussed here examines three important sources of ecologic bias: confounding by group, effect modification of the risk difference by group, and non-differential exposure misclassification.
Bias magnification also suggests an approach to sensitivity analysis of ecologic bias from confounding by group and/or effect modification of the risk difference by group.
More precisely, the reduction in exposure variance caused by aggregation (loss of information) magnifies the individual-level bias due to confounding by group and/or effect modification of the risk difference by group.
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