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Figure 1.

Causal pies and causal-pie weights for a hypothetical example.

Four possible classes of causal pies for two hypothetical binary risk factors, A and B, in disease causation. The numbers shown below the pies are the causal-pie weights.

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Table 1.

Baseline characteristics and the age-adjusted rate ratios for developing hepatocellular carcinoma for a total of 11,801 men who were free of liver cirrhosis and hepatocellular carcinoma at study entry.

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Table 2.

The final additive Poisson model based on the data of a total of 11,801 men who were free of liver cirrhosis and hepatocellular carcinoma at study entry.

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Figure 2.

Population attributable fractions under various intervention strategies.

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Figure 3.

Causal-pie weights and the bootstrapped 95% confidence intervals for newly-developed hepatocellular carcinoma.

A total of eight classes of causal pies (U: unmeasured factors) are presented. The eight pies are grouped into three intersecting sets (the dotted circles).

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