Trying to be precise about vagueness.
Abstract
A previous investigation by Lambert et al., which used computer simulation to examine the influence of choice of prior distribution on inferences from Bayesian random effects meta-analysis, is critically examined from a number of viewpoints. The practical example used is shown to be problematic. The various prior distributions are shown to be unreasonable in terms of what they imply about the joint distribution of the overall treatment effect and the random effects variance. An alternative form of prior distribution is tentatively proposed. Finally, some practical recommendations are made that stress the value both of fixed effect analyses and of frequentist approaches as well as various diagnostic investigations.
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If E_R[ρ_{R,G}]=0.05, then DI≥1/400, and even with f=1/2 the effective sample size cannot exceed n_eff=400.
“That is, even if we have data from half of the population, that is, f = 1 / 2, the effective sample size, in terms of an equivalent SRS sample, cannot exceed n eff = 400.”
From Statistical paradises and paradoxes in big data (I): Law of large populations, big data paradox, and the 2016 US presidential election (2018) · cites this paper as Senn (2007)
There is a positive correlation between effect size and its heteroscedasticity.
“This is in line with other works that have found a positive correlation between the effect size and its heteroscedasticity 27, 28.”
From Does evidence support the high expectations placed in precision medicine? A bibliographic review (2019) · cites this paper as [27]
Cites
Meta-analysis in clinical trials
DerSimonian, R., & Laird, N. (1986) · Controlled Clinical Trials · doi:10.1016/0197-2456(86)90046-2 · Cited by 39,552 · see citing works
Anderson, N. H. (2001) · Psychology Press eBooks · doi:10.4324/9781410600004-24 · Cited by 6,939 · see citing works
Sampling-based approaches to calculating marginal densities
Gelfand, A. E., & Smith, A. F. M. (1990) · Journal of the American Statistical Association · doi:10.1080/01621459.1990.10476213 · Cited by 6,606 · see citing works
Foundations of Mathematics and other Logical Essays
Ramsey, F. P. (2013) · Routledge eBooks · doi:10.4324/9781315887814 · Cited by 2,004 · see citing works
Mahalanobis, P. C. (1954) · dialectica · doi:10.1111/j.1746-8361.1954.tb01124.x · Cited by 1,722 · see citing works
Bayesian Statistics: An Introduction
Ziegel, E. R., & Lee, P. M. (1998) · Technometrics · doi:10.2307/1270551 · Cited by 1,191 · see citing works
Systematic Review: Why sources of heterogeneity in meta-analysis should be investigated
Thompson, S. G. (1994) · BMJ · doi:10.1136/bmj.309.6965.1351 · Cited by 1,017 · see citing works
Hierarchical Generalized Linear Models
Lee, Y., & Nelder, J. A. (1996) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1996.tb02105.x · Cited by 972 · see citing works
Ramsey, F. P. (2016) · doi:10.1007/978-3-319-20451-2_3 · Cited by 954 · see citing works
The analysis of groups of experiments
Yates, F., & Cochran, W. G. (1938) · The Journal of Agricultural Science · doi:10.1017/s0021859600050978 · Cited by 900 · see citing works
Validation of an index of the quality of review articles
Oxman, A. D., & Guyatt, G. H. (1991) · Journal of Clinical Epidemiology · doi:10.1016/0895-4356(91)90160-b · Cited by 788 · see citing works
Antibiotics for acute otitis media in children
Venekamp, R. P., Sanders, S., Glasziou, P., Mar, C. D., & Rovers, M. M. (2013) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd000219.pub4 · Cited by 619 · see citing works
A LIKELIHOOD APPROACH TO META-ANALYSIS WITH RANDOM EFFECTS
Hardy, R., & Thompson, S. G. (1996) · Statistics in Medicine · doi:10.1002/(sici)1097-0258(19960330)15:6 · Cited by 517 · see citing works
Lambert, P. C., Sutton, A. J., Burton, P. R., Abrams, K. R., & Jones, D. R. (2005) · Statistics in Medicine · doi:10.1002/sim.2112 · Cited by 511 · see citing works
Statistical Issues in Drug Development
Senn, S. (2007) · doi:10.1002/9780470723586 · Cited by 448 · see citing works
Self-citationGood Thinking: The Foundations of Probability and Its Applications.
Berger, J. O., & Good, I. J. (1985) · Journal of the American Statistical Association · doi:10.2307/2288079 · Cited by 390 · see citing works
Statistical Issues in Drug Development
Senn, S. J. (2021) · Wiley eBooks · doi:10.1002/9781119238614 · Cited by 384 · see citing works
Self-citation(1999) · Technometrics · doi:10.1080/00401706.1999.10485691 · Cited by 380 · see citing works
Systematic reviews and meta-analyses on treatment of asthma: critical evaluation
Jadad, A. R. (2000) · BMJ · doi:10.1136/bmj.320.7234.537 · Cited by 257 · see citing works
Statistical Issues in Drug Development
Ziegel, E. R., & Senn, S. J. (1999) · Technometrics · doi:10.2307/1271380 · Cited by 224 · see citing works
Self-citationA Bayesian Significance Test for Multinomial Distributions
Good, I. J. (1967) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1967.tb00705.x · Cited by 185 · see citing works
Controversies concerning randomization and additivity in clinical trials.
Senn, S. (2004) · Statistics in Medicine · doi:10.1002/sim.2074 · Cited by 132 · see citing works
Self-citationApplying Bayesian ideas in drug development and clinical trials
Spiegelhalter, D. J., Freedman, L. S., & Parmar, M. (1993) · Statistics in Medicine · doi:10.1002/sim.4780121516 · Cited by 131 · see citing works
Short-course antibiotics for acute otitis media
Kozyrskyj, A. L., Klassen, T. P., MOFFATT, M. E. K., & Harvey, K. (2010) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd001095.pub2 · Cited by 129 · see citing works
Hoberman, A., Paradise, J. L., BURCH, D. J., et al. (1997) · The Pediatric Infectious Disease Journal · doi:10.1097/00006454-199705000-00002 · Cited by 126 · see citing works
Senn, S. J. (2000) · Drug Information Journal · doi:10.1177/009286150003400222 · Cited by 103 · see citing works
Self-citationCox, D. R., & Solomon, P. J. (2002) · Chapman & Hall/CRC eBooks · doi:10.1201/9781482285949 · Cited by 80 · see citing works
Bayesian Statistics. An Introduction.
Higgins, J. J., & Lee, P. M. (1990) · Journal of the Royal Statistical Society Series D (The Statistician) · doi:10.2307/2348199 · Cited by 78 · see citing works
Consensus and Controversy in Pharmaceutical Statistics
Senn, S. J. (2000) · Journal of the Royal Statistical Society Series D (The Statistician) · doi:10.1111/1467-9884.00227 · Cited by 77 · see citing works
Self-citationAlpha calculus in clinical trials: considerations and commentary for the new millennium
Moy�, L. A. (2000) · Statistics in Medicine · doi:10.1002/(sici)1097-0258(20000330)19:6 · Cited by 69 · see citing works
Hierarchical models for multicentre binary response studies
Skene, A. M., & Wakefield, J. C. (1990) · Statistics in Medicine · doi:10.1002/sim.4780090808 · Cited by 66 · see citing works
Theory and Practice of Bayesian Statistics
Lindley, D. V. (1983) · Journal of the Royal Statistical Society Series D (The Statistician) · doi:10.2307/2987587 · Cited by 56 · see citing works
Senn, S. J., Chambless, L. E., & Roeback, J. R. (1994) · Statistics in Medicine · doi:10.1002/sim.4780132110 · Cited by 49 · see citing works
Self-citationSenn, S. J. (2003) · Cambridge University Press eBooks · doi:10.1017/cbo9780511543319 · Cited by 41 · see citing works
Self-citationComputer-modeling and Graphical Strategies for Meta-analysis
DuMouchel, W., & Normand, S. T. (2000) · Chapman & Hall/CRC biostatistics series · doi:10.1201/9780203909935.ch6 · Cited by 38 · see citing works
Chambless, L. E., & Roeback, J. R. (1993) · Statistics in Medicine · doi:10.1002/sim.4780121304 · Cited by 37 · see citing works
Senn, S. (2003) · Cited by 14 · see citing works
Self-citationThe quality of systematic reviews
Senn, S. J. (2000) · BMJ · doi:10.1136/bmj.321.7256.297 · Cited by 13 · see citing works
Self-citationBoulesteix, J., Dubreuil, C., Moutot, M., et al. (1995) · Médecine et Maladies Infectieuses · doi:10.1016/s0399-077x(05)80739-5 · Cited by 8 · see citing works
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Sorted by citations
Methods to estimate the between‐study variance and its uncertainty in meta‐analysis
Veroniki, A. A., Jackson, D., Viechtbauer, W., Bender, R., Bowden, J., Knapp, G., Kuss, O., Higgins, J. P., Langan, D., & Salanti, G. (2016) · Research Synthesis Methods · doi:10.1002/jrsm.1164 · Cited by 1,685 · see citing works
Genome-wide association study of blood pressure and hypertension
Levy, D., Ehret, G. B., Rice, K., Verwoert, G. C., Launer, L. J., Dehghan, A., Glazer, N. L., Morrison, A. C., Johnson, A. D., Aspelund, T., et al. (2009) · Nature Genetics · doi:10.1038/ng.384 · Cited by 1,364 · see citing works
Tufanaru, C., Munn, Z., Stephenson, M., & Aromataris, E. (2015) · International Journal of Evidence-Based Healthcare · doi:10.1097/xeb.0000000000000065 · Cited by 1,057 · see citing works
Stijnen, T., Hamza, T. H., & Özdemir, P. (2010) · Statistics in Medicine · doi:10.1002/sim.4040 · Cited by 757 · see citing works
Meng, X.-L. (2018) · The Annals of Applied Statistics · doi:10.1214/18-aoas1161sf · Cited by 316 · see citing works
Bayesian Random-Effects Meta-Analysis Using the <b>bayesmeta</b> <i>R</i> Package
Röver, C. (2020) · Journal of Statistical Software · doi:10.18637/jss.v093.i06 · Cited by 310 · see citing works
Hasan, S. S., Clavarino, A. M., Mamun, A. A., Doi, S. A. R., & Kairuz, T. (2013) · Asian Journal of Psychiatry · doi:10.1016/j.ajp.2013.09.008 · Cited by 34 · see citing works
Does evidence support the high expectations placed in precision medicine? A bibliographic review
Cortés, J., González, J. A., Medina, M. N., Vogler, M., Vilaró, M., Elmore, M., Senn, S. J., Campbell, M., & Cobo, E. (2019) · F1000Research · doi:10.12688/f1000research.13490.4 · Cited by 13 · see citing works
Self-citation
- Authors
- Senn, S.
- Affiliations
- University of Glasgow (GB)
- Corresponding author
- Senn, Stephen
- ORCID
- Senn, Stephen
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 2006-08-11
- Volume
- 26
- Issue
- 7
- Pages
- 1417-1430
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2103961250
- Cited by
- 105
- References
- 39
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 1 · 2023: 4 · 2022: 3 · 2021: 8 · 2020: 6 · 2019: 6 · 2018: 9 · 2017: 8 · 2016: 7 · 2015: 7 · 2014: 5 · 2013: 6 · 2012: 5
- FWCI
- 6.08
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Statistics in Medicine (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Keywords
- prior distributions, frequentist methods, diagnostic workup
- MeSH terms
- Bayes Theorem, Computer Simulation, Humans, Otitis Media, Meta-Analysis as Topic, Likelihood Functions
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