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Figure 1.

Directed acyclic graph (DAG) representing conditional independencies (by the absence of arrows) between the genetic instrument Z, the risk factor X, the outcome Y and the confounders U.

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Table 1.

Allocation of the n individuals of a sample according to Z, X and Y.

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Table 1 Expand

Table 2.

Summary results of 2000 simulations under various situations for each of the five methods.

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Table 2 Expand

Figure 2.

IQR of the log odds-ratios estimated from 2000 simulations under various situations for each of the five methods in function of the proportion of compliers .

IQR of estimates (dashed-dotted line), (dashed line), (dotted line) and (solid line) have been divided by the IQR of estimate . The sample size is .

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Figure 2 Expand

Figure 3.

Boxplots of the log odds-ratios estimated from 2000 simulations under various situations for each of the five methods (from left to right: , , , , ).

The sample size is and the proportion of compliers is . The horizontal dashed line represents the true log odds-ratio.

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Figure 3 Expand

Table 3.

Allocation of the individuals of our example according to Z, X and Y.

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Table 3 Expand