The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Modeling Publication Selection Effects in Meta-Analysis
Open accessAbstract
Publication selection effects arise in meta-analysis when the effect magnitude estimates are observed in (available from) only a subset of the studies that were actually conducted and the probability that an estimate is observed is related to the size of that estimate. Such selection effects can lead to substantial bias in estimates of effect magnitude. Research on the selection process suggests that much of the selection occurs because researchers, reviewers and editors view the results of studies as more conclusive when they are more highly statistically significant. This suggests a model of the selection process that depends on effect magnitude via the p-value or significance level. A model of the selection process involving a step function relating the p-value to the probability of selection is introduced in the context of a random effects model for meta-analysis. The model permits estimation of a weight function representing selection along the mean and variance of effects. Some ideas for graphical procedures and a test for publication selection are also introduced. The method is then applied to a meta-analysis of test validity studies.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Such connections between sample sizes and effect sizes would violate the assumptions needed to interpret asymmetric funnel plots and Egger's test as publication bias (it would also violate the assumptions underlying the selection models suggested by, e.g., Hedges, 1992 and Andrews & Kasy, 2019).”
From Targeted school‐based interventions for improving reading and mathematics for students with or at risk of academic difficulties in Grades K‐6: A systematic review (2021) · cites this paper as Hedges, 1992
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Wasserman, S. S., Hedges, L. V., & Olkin, I. (1988) · Journal of Educational Statistics · doi:10.2307/1164953 · Cited by 10,377
Self-citationThe file drawer problem and tolerance for null results.
Rosenthal, R. (1979) · Psychological Bulletin · doi:10.1037/0033-2909.86.3.638 · Cited by 9,068
Meta-Analytic Procedures for Social Research.
Metcalfe, A., & Rosenthal, R. (1994) · Journal of the Royal Statistical Society Series D (The Statistician) · doi:10.2307/2348600 · Cited by 4,249
Meta-analysis in social research
(1982) · Evaluation and Program Planning · doi:10.1016/0149-7189(82)90011-8 · Cited by 3,896
A Fail-Safe N for Effect Size in Meta-Analysis
Orwin, R. G. (1983) · Journal of Educational Statistics · doi:10.2307/1164923 · Cited by 2,064
The statistical power of abnormal-social psychological research: A review.
Cohen, J. (1962) · The Journal of Abnormal and Social Psychology · doi:10.1037/h0045186 · Cited by 1,824
Tactics of Scientific Research
Sidman, M. (1960) · Cited by 1,638
Summing up: The Science of Reviewing Research
Wilkinson, I., Light, R. J., & Pillemer, D. B. (1987) · Journal of Educational Statistics · doi:10.2307/1164691 · Cited by 1,486
Consequences of prejudice against the null hypothesis.
Greenwald, A. G. (1975) · Psychological Bulletin · doi:10.1037/h0076157 · Cited by 1,022
Sterling, T. D. (1959) · Journal of the American Statistical Association · doi:10.1080/01621459.1959.10501497 · Cited by 964
The test of significance in psychological research.
Bakan, D. (1966) · Psychological Bulletin · doi:10.1037/h0020412 · Cited by 957
Publication bias—a problem in interpreting medical data
Begg, C. B., & Berlin, J. A. (1988) · Journal of the Royal Statistical Society. Series A (Statistics in Society) · doi:10.2307/2982993 · Cited by 814
Publication bias: the case for an international registry of clinical trials.
Simes, R. J. (1986) · Journal of Clinical Oncology · doi:10.1200/jco.1986.4.10.1529 · Cited by 747
Publication bias and clinical trials
Dickersin, K., Chan, S., Chalmersx, T. C., Sacks, H. S., & Smith, H. (1987) · Controlled Clinical Trials · doi:10.1016/0197-2456(87)90155-3 · Cited by 715
Eagly, A. H., & Carli, L. L. (1981) · Psychological Bulletin · doi:10.1037/0033-2909.90.1.1 · Cited by 541
Peto, R. (1987) · Statistics in Medicine · doi:10.1002/sim.4780060306 · Cited by 409
Selection Models and the File Drawer Problem
Iyengar, S., & Greenhouse, J. B. (1988) · Statistical Science · doi:10.1214/ss/1177013012 · Cited by 388
On discrete distributions arising out of methods of ascertainment
Rao, C. R. (1965) · Cited by 385
(1989) · Choice Reviews Online · doi:10.5860/choice.27-1601 · Cited by 271
Devine, E. C., & Cook, T. D. (1983) · Nursing Research · doi:10.1097/00006199-198309000-00003 · Cited by 238
Confronting publication bias: A cohort design for meta‐analysis
Simes, R. J. (1987) · Statistics in Medicine · doi:10.1002/sim.4780060104 · Cited by 216
An Approach for Assessing Publication Bias Prior to Performing a Meta-Analysis
Dear, K., & Begg, C. (1992) · Statistical Science · doi:10.1214/ss/1177011363 · Cited by 202
The Interpretation of Levels of Significance by Psychological Researchers
Rosenthal, R., & Gaito, J. M. (1963) · The Journal of Psychology · doi:10.1080/00223980.1963.9916596 · Cited by 183
Effect of positive findings on submission and acceptance rates: A note on meta-analysis bias.
Coursol, A., & Wagner, E. E. (1986) · Professional Psychology Research and Practice · doi:10.1037/0735-7028.17.2.136 · Cited by 165
Signifying significant significance.
Bozarth, J. D., & Roberts, R. R. (1972) · American Psychologist · doi:10.1037/h0038034 · Cited by 164
Estimating effect size: Bias resulting from the significance criterion in editorial decisions
Lane, D. M., & Dunlap, W. P. (1978) · British Journal of Mathematical and Statistical Psychology · doi:10.1111/j.2044-8317.1978.tb00578.x · Cited by 161
Rao, C. R. (1985) · Springer eBooks · doi:10.1007/978-1-4613-8560-8_24 · Cited by 153
An Assessment of Publication Bias Using a Sample of Published Clinical Trials
Berlin, J. A., Begg, C. B., & Louis, T. A. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478782 · Cited by 134
Pearson, E. S. (1938) · Biometrika · doi:10.1093/biomet/30.1-2.134 · Cited by 124
A statistical power analysis of applied psychological research.
Chase, L. J., & Chase, R. B. (1976) · Journal of Applied Psychology · doi:10.1037/0021-9010.61.2.234 · Cited by 115
Interpretation of significance levels and effect sizes by psychological researchers.
Nelson, N., Rosenthal, R., & Rosnow, R. L. (1986) · American Psychologist · doi:10.1037/0003-066x.41.11.1299 · Cited by 113
Further Evidence for the Cliff Effect in the Interpretation of Levels of Significance
Rosenthal, R., & Gaito, J. (1964) · Psychological Reports · doi:10.2466/pr0.1964.15.2.570 · Cited by 62
Meta-Analysis and Cross-Cultural Comparison
Strube, M. (1981) · Journal of Cross-Cultural Psychology · doi:10.1177/0022022181121001 · Cited by 22
Estimating the Normal Mean and Variance Under A Publication Selection Model
Hedges, L. V. (1989) · Springer eBooks · doi:10.1007/978-1-4612-3678-8_31 · Cited by 8
Self-citation
Research works printed but not linked: 5
- CHAmPNEY, T. F. (1983). Adjustments for selection: Publication bias in quantitative research synthesis. Unpublished doctoral dissertation, Univ. Chicago.
- CoopER, H. M. (1984). The Integrative Research Review. Sage, Beverly Hills.
- HeDGEs, L. V. (1984). Estimation of effect size under nonrandom sampling: The effects of censoring studies yielding statistically insignificant mean differences. Journal of Educational Statistics 9 61–85.
- MELToN, A. W. (1962). Editorial. Journal of Experimental Psychology 64 553–557.
- WHITE, K. R. (1982). The relation between socioeconomic status and achievement. Psychological Bulletin 91 461-481.
Cited by
Sorted by citations
Operating characteristics of a rank correlation test for publication bias
Begg, C. B., & Mazumdar, M. (1994) · Biometrics · doi:10.2307/2533446 · Cited by 16,955
Duval, S., & Tweedie, R. (2000) · Biometrics · doi:10.1111/j.0006-341x.2000.00455.x · Cited by 14,099
The Handbook of Research Synthesis and Meta-Analysis
(2019) · doi:10.7758/9781610448864 · Cited by 4,553
A Nonparametric “Trim and Fill” Method of Accounting for Publication Bias in Meta-Analysis
Duval, S., & Tweedie, R. (2000) · Journal of the American Statistical Association · doi:10.1080/01621459.2000.10473905 · Cited by 2,955
Quantitative Synthesis in Systematic Reviews
Lau, J., Ioannidis, J. P. A., & Schmid, C. H. (1997) · Annals of Internal Medicine · doi:10.7326/0003-4819-127-9-199711010-00008 · Cited by 2,517
Metadata
- Authors
- Hedges, L. V.
- Corresponding author
- Hedges, Larry V.
- ORCID
- Hedges, Larry V.
- Venue
- Statistical Science
- Publisher
- Institute of Mathematical Statistics
- Published
- 1992-05-01
- Volume
- 7
- Issue
- 2
- Pages
- 246-255
- ISSN
- 0883-4237 (ISSN-L)
- 2168-8745
- OpenAlex
- W2087875612
- Cited by
- 359
- References
- 34
- Citations by year
- 2026: 11 · 2025: 15 · 2024: 16 · 2023: 10 · 2022: 16 · 2021: 11 · 2020: 39 · 2019: 17 · 2018: 14 · 2017: 9 · 2016: 11 · 2015: 13 · 2014: 8 · 2013: 5 · 2012: 11
- FWCI
- 10.09
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Statistical Science (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Social Sciences › Library and Information Sciences › scientometrics and bibliometrics research
- Keywords
- publication bias, meta-analysis, p-values, significance level, selection probability, random effects models, weight functions, test validity, graphical procedure
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review