1990
DOI: 10.1002/sim.4780090307
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Bias in the one‐step method for pooling study results

Abstract: The one-step (Peto) method for obtaining pooled effect estimates can yield extremely biased results when applied to unbalanced data. Even for balanced studies, the one-step estimate may incorporate an unacceptable degree of bias. In place of the one-step estimate, we recommend use of ordinary Mantel-Haenszel, weighted least squares, or maximum likelihood estimates whenever the total number of events is adequate for such methods. If the total number of events is small, we recommend exact methods.

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Cited by 148 publications
(66 citation statements)
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“…Colbourn et al 16 (p.45) argue that the Smail estimate is based on the Peto 'one-step' method, which is a fixed effect estimator that they assert produces '…seriously biased estimates when the true treatment effects are large'. 38,39 Our sensitivity analysis showed that when the alternative estimate used by Colbourn et al 16 was used there was a significant impact on the results, which made the relative ICERs, when compared with 'Do nothing', even more favourable.…”
Section: Discussionmentioning
confidence: 86%
“…Colbourn et al 16 (p.45) argue that the Smail estimate is based on the Peto 'one-step' method, which is a fixed effect estimator that they assert produces '…seriously biased estimates when the true treatment effects are large'. 38,39 Our sensitivity analysis showed that when the alternative estimate used by Colbourn et al 16 was used there was a significant impact on the results, which made the relative ICERs, when compared with 'Do nothing', even more favourable.…”
Section: Discussionmentioning
confidence: 86%
“…The method provides a fixed-effects model estimate of the overall odds ratio. In sparse data situations and under certain conditions, the method has been shown to produce the least biased results with the most accurate confidence interval coverages (Bradburn et al 2007), but can also be quite biased in other situations (Greenland and Salvan 1990).…”
Section: Discussionmentioning
confidence: 99%
“…To address this, alternative two‐stage approaches have been proposed, which use a different weighting scheme to the inverse variance method, such as the Peto method 65 and the Mantel–Haenszel method 66, which also avoid the use of continuity corrections when there are zero cells. The Peto method is considered to work well when intervention effects are small, event risks are <1%, and when there are balanced experimental and control group sizes within trials 10, 60.…”
Section: Key Reasons Why Meta‐analysis Results May Differ For the Onementioning
confidence: 99%