The DOI matches its Crossref record; 96 of the 96 references it cites were found in a registry or an index.
Publication Bias in Research Synthesis: Sensitivity Analysis Using A Priori Weight Functions.
Abstract
Publication bias, sometimes known as the "file-drawer problem" or "funnel-plot asymmetry," is common in empirical research. The authors review the implications of publication bias for quantitative research synthesis (meta-analysis) and describe existing techniques for detecting and correcting it. A new approach is proposed that is suitable for application to meta-analytic data sets that are too small for the application of existing methods. The model estimates parameters relevant to fixed-effects, mixed-effects or random-effects meta-analysis contingent on a hypothetical pattern of bias that is fixed independently of the data. The authors illustrate this approach for sensitivity analysis using 3 data sets adapted from a commonly cited reference work on research synthesis (H. M. Cooper & L. V. Hedges, 1994).
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“To evaluate publication bias, selection modeling was used. This approach used a weight function model created by Vevea and Woods [44], implemented through the weightr package.”
From Generative AI Mental Health Chatbots as Therapeutic Tools: Systematic Review and Meta-Analysis of Their Role in Reducing Mental Health Issues (2025) · cites this paper as [44]
In the citing paper
“confirming evidence of selection bias.”
From Generative AI Mental Health Chatbots as Therapeutic Tools: Systematic Review and Meta-Analysis of Their Role in Reducing Mental Health Issues (2025) · cites this paper as [44]
In the citing paper
“After adjustment for potential selection bias, the two-step model (P value cutpoints=.025, .50, 1) yielded a smaller and nonsignificant change in the pooled effect (g=0.54, SE=0.26, z=2.10; P=.04, 95% CI 0.04, 1.04).”
From Generative AI Mental Health Chatbots as Therapeutic Tools: Systematic Review and Meta-Analysis of Their Role in Reducing Mental Health Issues (2025) · cites this paper as [44]
In the citing paper
“The unadjusted model (k=44) estimated a pooled effect size of g=0.41 (SE=0.10, z=4.24; P<.001, 95% CI 0.22, 0.60).”
From Generative AI Mental Health Chatbots as Therapeutic Tools: Systematic Review and Meta-Analysis of Their Role in Reducing Mental Health Issues (2025) · cites this paper as [44]
In the citing paper
“studies with P<.025* were about 3.54 times more likely to be included than those with larger P values”
From Generative AI Mental Health Chatbots as Therapeutic Tools: Systematic Review and Meta-Analysis of Their Role in Reducing Mental Health Issues (2025) · cites this paper as [44]
In the citing paper
“suggesting moderate publication bias favoring statistically significant findings”
From Generative AI Mental Health Chatbots as Therapeutic Tools: Systematic Review and Meta-Analysis of Their Role in Reducing Mental Health Issues (2025) · cites this paper as [44]
In the citing paper
“The likelihood ratio test comparing adjusted and unadjusted models was significant (χ²2=11.25, P=.004)”
From Generative AI Mental Health Chatbots as Therapeutic Tools: Systematic Review and Meta-Analysis of Their Role in Reducing Mental Health Issues (2025) · cites this paper as [44]
In the citing paper
“Vevea and Woods’ (2005) selection model calculated a similar estimate (g¯ = 0.119).”
From Cognitive and academic benefits of music training with children: A multilevel meta-analysis (2020) · cites this paper as Vevea and Woods’ (2005)
In the citing paper
“The selection model estimate was g¯ = 0.039.”
From Cognitive and academic benefits of music training with children: A multilevel meta-analysis (2020) · cites this paper as Vevea and Woods’ (2005)
In the citing paper
“Vevea and Woods’ (2005) selection model calculated a more conservative estimate (g¯ = 0.126).”
From Cognitive and academic benefits of music training with children: A multilevel meta-analysis (2020) · cites this paper as Vevea and Woods’ (2005)
In the citing paper
“Vevea and Woods’ (2005) selection model yielded a similar estimate (g¯ = -0.002).”
From Cognitive and academic benefits of music training with children: A multilevel meta-analysis (2020) · cites this paper as Vevea and Woods’ (2005)
In the citing paper
“Sensitivity analysis (Vevea and Woods 2005) was also conducted to evaluate and account for the level of publication bias.”
From A meta-analytic review of the efficacy of physical exercise interventions on cognition in individuals with autism spectrum disorder and ADHD (2016) · cites this paper as Vevea and Woods 2005
In the citing paper
“Although the result of Kendall's tau is non-significant, in view of the small number of studies included in the metaanalysis, publication bias cannot be rejected and therefore a sensitivity analysis (Vevea and Woods, 2005) was conducted to estimate and account for the likelihood of publication bias.”
From A meta-analytic review of the efficacy of physical exercise interventions on cognition in individuals with autism spectrum disorder and ADHD (2016) · cites this paper as Vevea and Woods, 2005
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“2 did not display a clear funnel shape even assuming that its effects derived from an unbiased normal population (see Lau, Ioannidis, Terrin, Schmid, & Olkin, 2006; Vevea & Woods, 2005). confidence intervals (see Field & Gillett, 2010; Vevea & Woods, 2005).”
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“Therefore, in addition to this, sensitivity analyses were also performed, using the selection method of Vevea and Woods (2005).”
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“We estimated a series of selection models, which use weights to assess the likelihood of a study being published based on a given a priori p-value (Vevea & Woods, 2005).”
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“This approach used a weight function model created by Vevea and Woods [44], implemented through the weightr package.”
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“Although such a strategy may lead to an overestimation of the combined effect, such a possibility was countered by adopting Vevea and Woods’ (2005) severe two-tailed selection bias model (discussed below).”
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Barry, T. J., Lenaert, B., Hermans, D., Raes, F., & Griffith, J. W. (2018) · Journal of Traumatic Stress · doi:10.1002/jts.22263 · Cited by 65
Donald, J. N., Bradshaw, E. L., Conigrave, J. H., Parker, P. D., Byatt, L. L., Noetel, M., & Ryan, R. M. (2021) · Psychological Bulletin · doi:10.1037/bul0000338 · Cited by 61
Kunas, S. L., Lautenbacher, L. M., Lueken, U., & Hilbert, K. (2021) · Journal of Affective Disorders · doi:10.1016/j.jad.2020.09.092 · Cited by 59
Glišić, M., Raguindin, P. F., Gemperli, A., Taneri, P. E., Salvador, D., Voortman, T., Marques-Vidal, P. M., Papatheodorou, S., Kunutsor, S. K., Bano, A., et al. (2023) · Public health reviews · doi:10.3389/phrs.2023.1605454 · Cited by 57
“Other methods have been developed to address the limitations of existing popular approaches, such as the three-parameter selection model (64), the proportion of statistical significance test (26), and variants thereof.”
MethodRapp, R. C., Noortgate, W. V. D., Broekaert, E., & Vanderplasschen, W. (2014) · Journal of Consulting and Clinical Psychology · doi:10.1037/a0036750 · Cited by 58
“Reporting and publication bias are potential sources of uncertainty in any meta-analysis, as they reflect the tendency for available research to favor interventions supported by study authors (Vevea & Woods, 2005).”
MethodSavva, M., Higgins, S., & Beckmann, N. (2021) · Journal of Computer Assisted Learning · doi:10.1111/jcal.12623 · Cited by 87
Siegel, M., Eder, J. S. N., Wicherts, J. M., & Pietschnig, J. (2021) · Journal of Applied Psychology · doi:10.1037/apl0000991 · Cited by 65
Endogenous pain modulation in chronic orofacial pain: a systematic review and meta-analysis
Moana-Filho, E. J., Babiloni, A. H., & Theis-Mahon, N. R. (2018) · Pain · doi:10.1097/j.pain.0000000000001263 · Cited by 56
Garcia-Argibay, M., Li, L., Du Rietz, E., Zhang, L., Yao, H., Jendle, J., Ramos-Quiroga, J. A., Ribasés, M., Chang, Z., Brikell, I., et al. (2023) · Neuroscience & Biobehavioral Reviews · doi:10.1016/j.neubiorev.2023.105076 · Cited by 52
“We used a method that is not based on funnel plot asymmetry, namely a one-parameter selection model (Vevea and Woods, 2005) using a half-normal selection function.”
A Systematic Review and Meta-Analysis on the Efficacy of Self-Help Interventions in Tinnitus
Nyenhuis, N., Golm, D., & Kröner‐Herwig, B. (2013) · Cognitive Behaviour Therapy · doi:10.1080/16506073.2013.803496 · Cited by 52
“.05 is .95 (moderate onetailed selection), .90 (severe one-tailed selection), .95 (moderate two-tailed selection), or .90 (severe two-tailed selection; see Vevea and Woods (2005) for the detailed specification of weights).”
BackgroundMethodResultInfluentialStudents’ expected and actual academic achievement – A meta-analysis
Pinquart, M., & Ebeling, M. (2020) · International Journal of Educational Research · doi:10.1016/j.ijer.2019.101524 · Cited by 51
McPhee, G. M., Downey, L. A., & Stough, C. K. K. (2020) · Neurobiology of Learning and Memory · doi:10.1016/j.nlm.2020.107298 · Cited by 59
Three Decades of Research on Induced Hypocrisy: A Meta-Analysis
Priolo, D., Pelt, A., Saint-Bauzel, R., Rubens, L., Voisin, D., & Fointiat, V. (2019) · Personality and Social Psychology Bulletin · doi:10.1177/0146167219841621 · Cited by 63
“Given the limitations of funnel plot (Vevea & Woods, 2005), we applied the trim and fill method.”
MethodNeglect of publication bias compromises meta-analyses of educational research
Ropovik, I., Adamkovic, M., & Greger, D. (2021) · PLoS ONE · doi:10.1371/journal.pone.0252415 · Cited by 55
“Woods approach [60], one can fit a series of fine-grained step function models where the selection weights are not estimated but defined a prori.”
Mueller, K. F., Meerpohl, J. J., Briel, M., Antes, G., von Elm, E., Lang, B., Motschall, E., Schwarzer, G., & Bassler, D. (2016) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2016.04.015 · Cited by 48
Fong, C. J., Krou, M. R., Johnston-Ashton, K., Hoff, M. A., Lin, S., & Gonzales, C. (2021) · Educational Research Review · doi:10.1016/j.edurev.2021.100407 · Cited by 64
Fitzgerald, H. E., Hoyt, D. L., Kredlow, M. A., Smits, J. A. J., Schmidt, N. B., Edmondson, D., & Otto, M. W. (2021) · Clinical Psychology: Science and Practice · doi:10.1037/cps0000038 · Cited by 48
Pinquart, M. (2019) · Journal of Traumatic Stress · doi:10.1002/jts.22354 · Cited by 46
A comprehensive meta-analysis of character education programs
Brown, M., McGrath, R. E., Bier, M. C., Johnson, K., & Berkowitz, M. W. (2022) · Journal of Moral Education · doi:10.1080/03057240.2022.2060196 · Cited by 123
“This approach also allows for presetting the distribution of the p intervals, and Vevea and Woods (2005) suggested reasonable estimates for setting these distributions.”
BackgroundPersonality versus traffic accidents; meta-analysis of real and method effects
Wåhlberg, A., Barraclough, P., & Freeman, J. (2017) · Transportation Research Part F Traffic Psychology and Behaviour · doi:10.1016/j.trf.2016.10.009 · Cited by 46
“However, these methods are not considered fully reliable (Pham, Platt, McAuley, Klassen & Moher, 2001; Song et al., 2010; Vevea & Woods, 2005), and tend to have low power (Macaskill, Walter & Irwig, 2001; Sterne, Gavaghan & Egger, 2000) and it is therefore preferable to try to actually locate…”
MethodAssociation of Schizotypy With Dimensions of Cognitive Control: A Meta-Analysis
Steffens, M., Meyhöfer, I., Faßbender, K., Ettinger, U., & Kambeitz, J. P. (2018) · Schizophrenia Bulletin · doi:10.1093/schbul/sby030 · Cited by 49
The “other” relationships of self-assessed intelligence: A meta-analysis
Howard, M. C., & Cogswell, J. E. (2018) · Journal of Research in Personality · doi:10.1016/j.jrp.2018.09.006 · Cited by 53
Nordgård, R., & Låg, T. (2021) · Frontiers in Virtual Reality · doi:10.3389/frvir.2021.699383 · Cited by 53
Does FDI promote entrepreneurial activities? A meta-analysis
Hong, S., Reed, W. R., Tian, B., Wu, T., & Chen, G. (2021) · World Development · doi:10.1016/j.worlddev.2021.105436 · Cited by 45
Sayour, A. A., Celeng, C., Oláh, A., Ruppert, M., Merkely, B. P., & Radovits, T. (2021) · Diabetologia · doi:10.1007/s00125-020-05359-2 · Cited by 45
“To correct the population effect estimate for moderate and severe publication bias, a priori weight functions as per Vevea and Woods [34, 35] were applied.”
BackgroundMethodInfluentialSala, G., Burgoyne, A. P., Macnamara, B. N., Hambrick, D. Z., Campitelli, G., & Gobet, F. R. (2017) · Intelligence · doi:10.1016/j.intell.2017.01.013 · Cited by 49
“We thus ran two additional publication bias analyses: (a) selection models (moderate two-tailed selection and severe two-tailed selection; 9 Vevea & Woods, 2005); and (b) PET-PEESE (Stanley & Doucouliagos, 2014).”
MethodPietschnig, J., Siegel, M., Eder, J. S. N., & Gittler, G. (2019) · Frontiers in Psychology · doi:10.3389/fpsyg.2019.02874 · Cited by 52
“, 2015), a selection model approach (Vevea and Woods, 2005), and PET-PEESE (Stanley and Doucouliagos, 2014).”
BackgroundWilliams, R. T., Citkowicz, M., Miller, D. I., Lindsay, J., & Walters, K. (2022) · Journal of Research on Educational Effectiveness · doi:10.1080/19345747.2021.2009072 · Cited by 50
“…in more detail, along with results from another selective reporting analysis method (i.e., selection models; Vevea & Hedges, 1995) and sensitivity analyses that explored the consequences of varying magnitudes of selective reporting bias (Mathur & VanderWeele, 2020; see also Vevea & Woods, 2005).”
ResultAssessing Publication Bias: a 7-Step User’s Guide with Best-Practice Recommendations
Kepes, S., Wang, W., & Cortina, J. M. (2022) · Journal of Business and Psychology · doi:10.1007/s10869-022-09840-0 · Cited by 47
“Also, when using Vevea and Wood’s (2005) a priori selection model, the distribution of the p values should be examined, especially when the obtained results do not converge well with the results of other methods.”
BackgroundMethodResultInfluentialKepes, S., Bushman, B. J., & Anderson, C. A. (2017) · Psychological Bulletin · doi:10.1037/bul0000112 · Cited by 50
Zhang, A., Zebrack, B., Acquati, C., Roth, M. E., Levin, N. J., Wang, K., & Schwartz, S. (2021) · Journal of Adolescent and Young Adult Oncology · doi:10.1089/jayao.2021.0012 · Cited by 43
“45 A reasonably symmetric funnel plot—in which both statistically significant and in-significant effect sizes are included and analyzed—is a sign of no publication bias.”
Meta-Analysis of Anxiety in Parents of Young People with Chronic Health Conditions
Pinquart, M. (2019) · Journal of Pediatric Psychology · doi:10.1093/jpepsy/jsz024 · Cited by 42
Metadata
- Authors
- Vevea, J. L., & Woods, C. M.
- Affiliations
- University of California, Santa Cruz (US)
- Washington University in St. Louis (US)
- ORCID
- Woods, Carol M.
- Venue
- Psychological Methods
- Published
- 2005-12
- Volume
- 10
- Issue
- 4
- Pages
- 428-443
- ISSN
- 1082-989X (ISSN-L)
- 1939-1463
- OpenAlex
- W1974479479
- Cited by
- 461
- References
- 94
- Citations by year
- 2026: 24 · 2025: 33 · 2024: 35 · 2023: 35 · 2022: 36 · 2021: 41 · 2020: 35 · 2019: 49 · 2018: 33 · 2017: 23 · 2016: 12 · 2015: 22 · 2014: 13 · 2013: 10 · 2012: 11
- FWCI
- 9.19
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Psychological Methods (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institutes of Health (4r44ag024771-02)
- National Institute on Aging (AG024771)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Psychology Research and Bibliometrics
- Social Sciences › Library and Information Sciences › scientometrics and bibliometrics research
- Keywords
- publication bias, file drawer problem, funnel plot asymmetry, meta-analysis, sensitivity analysis, bias detection, fixed effects model, random effects models, mixed models
- MeSH terms
- Data Interpretation, Statistical, Humans, Models, Psychological, Publishing, Research, Research Design, Sensitivity and Specificity, Meta-Analysis as Topic
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