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. 2024 Oct 1;6:e42. doi: 10.1017/ehs.2024.33

Table 4.

Five examples of right-censoring bias

Structural Representation of Biases from Right-Censoring
Bias Description
1 Confounding by common cause of treatment and attrition graphic file with name S2513843X24000331_inline41.jpg
2 Treatment affects censoring graphic file with name S2513843X24000331_inline42.jpg
3 No treatment effect when outcome causing censoring: Bias is not expected under the strict null graphic file with name S2513843X24000331_inline43.jpg
4 Treatment effect when outcome causes censoring and there is a true treatment effect. Expect a biased effect estimate for the target population on at least one causal contrast scale graphic file with name S2513843X24000331_inline44.jpg
5 Treatment effect and effect-modifiers differ in censored (restriction bias without confounding) graphic file with name S2513843X24000331_inline45.jpg

Key:

A denotes the treatment;

Y denotes the outcome;

U denotes an unmeasured confounder;

Inline graphic denotes randomisation into treatment;

Inline graphic asserts causality

Inline graphic biased path for treatment effect in the target population.

Inline graphic indicates a latent variable X measured by proxy X′.

Inline graphic indicates a path for bias linking A to Y absent causation.

Inline graphic indicates that conditioning on X introduces bias.

Inline graphic indicates effect modification of Inline graphic by X.

Inline graphic indicates effect modification of Inline graphic by Inline graphic