2023
DOI: 10.31222/osf.io/3qp2w
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Spurious Precision in Meta-Analysis of Observational Research

Abstract: Meta-analysis upweights studies reporting lower standard errors and hence more precision. But in empirical practice, notably in observational research, precision is not given to the researcher. Precision must be estimated, and thus can be p-hacked to achieve statistical significance. Simulations show that a modest dose of spurious precision creates a formidable problem for inverse-variance weighting and bias-correction methods based on the funnel plot. Selection models fail to solve the problem, and the simple… Show more

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Cited by 13 publications
(12 citation statements)
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“…, where b ij denotes the i-th beauty effect estimated in the j-th study, and SE(b ij ) denotes its standard error. FE = study-level fixed effects, BE = study-level between effects, MAIVE = Meta-Analysis Instrumental Variable Estimator (Irsova et al, 2023) with the inverse of the square root of the sample size used as an instrument for the standard error. Weighted = the inverse of the number of estimates per study is used as the weight.…”
Section: Sample Without Prostitutes Prostitutesmentioning
confidence: 99%
See 1 more Smart Citation
“…, where b ij denotes the i-th beauty effect estimated in the j-th study, and SE(b ij ) denotes its standard error. FE = study-level fixed effects, BE = study-level between effects, MAIVE = Meta-Analysis Instrumental Variable Estimator (Irsova et al, 2023) with the inverse of the square root of the sample size used as an instrument for the standard error. Weighted = the inverse of the number of estimates per study is used as the weight.…”
Section: Sample Without Prostitutes Prostitutesmentioning
confidence: 99%
“…Precision can be p-hacked (changed by changing specification in order to achieve statistical significance), which introduces reverse causality. To address these problems we use the novel estimator due to Irsova et al (2023), which accounts for the potential endogeneity of the standard error and various forms of phacking. We also use recently developed nonlinear techniques by Andrews & Kasy (2019), Bom & Rachinger (2019, Furukawa (2020), andIoannidis et al (2017).…”
Section: Introductionmentioning
confidence: 99%
“…5 4 See Borenstein (2009) for a discussion of bunching with increasing block tariffs. 5 Ring 1 covers the area within 25 km from Tbilisi; ring 2 that between 25 and 50 km; ring 3 that between 50 and 100 km; ring 4 that between 100 and 150 km; ring 4 that from 150 to 200 km; ring 6 that from 200 to 250 km, and ring 7 that between 250 and 300 km.…”
Section: What Effects Do We Expect From the Policy?mentioning
confidence: 99%
“…Another alternative solution, which we do not simulate here, would be to use the square root of the inverse sample size as an instrument for the standard error in PET-PEESE. [31][32] Among other things, the instrumental-variable PET-PEESE technique accounts for the mechanical correlation between r and its SE. See Irsova, Bom, Havranek, and Rachinger 32 for simulations of this instrumental-variable approach.…”
Section: Pet-peese Model Of Publication Selection Biasmentioning
confidence: 99%