Practical methods for incorporating summary time-to-event data into meta-analysis.
Open accessAbstract
BACKGROUND: In systematic reviews and meta-analyses, time-to-event outcomes are most appropriately analysed using hazard ratios (HRs). In the absence of individual patient data (IPD), methods are available to obtain HRs and/or associated statistics by carefully manipulating published or other summary data. Awareness and adoption of these methods is somewhat limited, perhaps because they are published in the statistical literature using statistical notation. METHODS: This paper aims to 'translate' the methods for estimating a HR and associated statistics from published time-to-event-analyses into less statistical and more practical guidance and provide a corresponding, easy-to-use calculations spreadsheet, to facilitate the computational aspects. RESULTS: A wider audience should be able to understand published time-to-event data in individual trial reports and use it more appropriately in meta-analysis. When faced with particular circumstances, readers can refer to the relevant sections of the paper. The spreadsheet can be used to assist them in carrying out the calculations. CONCLUSION: The methods cannot circumvent the potential biases associated with relying on published data for systematic reviews and meta-analysis. However, this practical guide should improve the quality of the analysis and subsequent interpretation of systematic reviews and meta-analyses that include time-to-event outcomes.
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
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?
Reviewers need the log hazard ratio and its standard error for a study to be included in a meta-analysis.
“Reviewers need the log hazard ratio and its standard error for a study to be included in a meta-analysis [111].”
From The PRISMA Statement for Reporting Systematic Reviews and Meta-Analyses of Studies That Evaluate Health Care Interventions: Explanation and Elaboration (2009) · cites this paper as [111]
Methods are available for estimating the log hazard ratio and its standard error from other reported information.
“methods are available for estimating the desired quantities from other reported information [111].”
From The PRISMA Statement for Reporting Systematic Reviews and Meta-Analyses of Studies That Evaluate Health Care Interventions: Explanation and Elaboration (2009) · cites this paper as [111]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
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
Parmar, M. K. B., Torri, V., & Stewart, L. (1998) · Statistics in Medicine · doi:10.1002/(sici)1097-0258(19981230)17:24 · Cited by 4,519 · see citing works
Self-citationBeta blockade during and after myocardial infarction: An overview of the randomized trials
Yusuf, S., Peto, R., Lewis, J., Collins, R., & Sleight, P. (1985) · Progress in Cardiovascular Diseases · doi:10.1016/s0033-0620(85)80003-7 · Cited by 3,205 · see citing works
Publication bias in clinical research
Easterbrook, P. J., Gopalan, R., Berlin, J. A., & Matthews, D. R. (1991) · The Lancet · doi:10.1016/0140-6736(91)90201-y · Cited by 3,109 · cited 1× · see citing works
“For example, it may not be possible to include all relevant trials, either because trials are not published or because the trial report does not include the outcome of interest, situations which could lead to publication bias [11-13] or selective outcome reporting bias [14], respectively.”
BackgroundWhat is meant by intention to treat analysis? Survey of published randomised controlled trials
Hollis, S., & Campbell, F. (1999) · BMJ · doi:10.1136/bmj.319.7211.670 · Cited by 2,160 · see citing works
Chan, A.-W., Hróbjartsson, A., Haahr, M. T., Gøtzsche, P. C., & Altman, D. G. (2004) · JAMA · doi:10.1001/jama.291.20.2457 · Cited by 1,845 · see citing works
The Existence of Publication Bias and Risk Factors for Its Occurrence
Dickersin, K. (1990) · JAMA: The Journal of the American Medical Association · doi:10.1001/jama.1990.03440100097014 · Cited by 1,417 · see citing works
Dickersin, K., Yuan, M.-Q., & Meinert, C. (1992) · Journal of the American Medical Association (JAMA) · doi:10.1001/jama.1992.03480030052036 · Cited by 900 · see citing works
Aggregate data meta‐analysis with time‐to‐event outcomes
Williamson, P. R., Smith, C. T., Hutton, J. L., & Marson, A. G. (2002) · Statistics in Medicine · doi:10.1002/sim.1303 · Cited by 551 · see citing works
Survival plots of time-to-event outcomes in clinical trials: good practice and pitfalls
Pocock, S., Clayton, T. C., & Altman, D. G. (2002) · The Lancet · doi:10.1016/s0140-6736(02)08594-x · Cited by 509 · see citing works
Griffiths, G. O. (1999) · The Lancet · doi:10.1016/s0140-6736(99)02292-8 · Cited by 499 · see citing works
Review of survival analyses published in cancer journals
Altman, D., De Stavola, B., Love, S., & Stepniewska, K. (1995) · British Journal of Cancer · doi:10.1038/bjc.1995.364 · Cited by 438 · see citing works
Investigating patient exclusion bias in meta-analysis
Tierney, J. F. (2004) · International Journal of Epidemiology · doi:10.1093/ije/dyh300 · Cited by 221 · see citing works
Self-citationMj, D. (2000) · PubMed · Cited by 207 · see citing works
Schulz, K. F., Grimes, D. A., Altman, D. G., & Hayes, R. J. (1996) · BMJ · doi:10.1136/bmj.312.7033.742 · Cited by 163 · see citing works
Randomized Trial in Advanced Ovarian Cancer Comparing Cisplatin and Carboplatin
Mangioni, C., Bolis, G., Pecorelli, S., Bragman, K., Epis, A., Favalli, G., Gambino, A., Landoni, F., Presti, M., Torri, V., et al. (1989) · JNCI Journal of the National Cancer Institute · doi:10.1093/jnci/81.19.1464 · Cited by 142 · see citing works
The Value of the Aggregate Data Approach in Meta-Analysis with Time-to-Event Outcomes
Smith, C. T., Williamson, P. R., Khan, S. A., & Best, L. (2001) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.1111/1467-985x.00207 · Cited by 49 · see citing works
Feasibility and reliability of using hazard ratios in meta-analyses of published time-to-event data
Tierney, J. F., Rydzewska, L. H. M., Burdett, S., et al. (2001) · BMC News and views · doi:10.1186/2048-4623-1-s3-op002 · Cited by 3 · see citing works
Self-citation
Flagged first, then by citations
Research works printed but not linked: 1
- Dickersin K Min Y-I Meinert CL Factors influencing publication of research results Journal of the American Medical Association 1992 267 374 8 1727960 10.1001/jama.267.3.374 · DOI
Cited by
Sorted by citations
Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009) · PLoS Medicine · doi:10.1371/journal.pmed.1000100 · Cited by 28,164 · see citing works
Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gotzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009) · BMJ · doi:10.1136/bmj.b2700 · Cited by 17,648 · see citing works
Shamseer, L., Moher, D., Clarke, M., Ghersi, D., Liberati, A., Petticrew, M., Shekelle, P., Stewart, L. A., & the PRISMA-P Group (2015) · BMJ · doi:10.1136/bmj.g7647 · Cited by 13,120 · see citing works
Self-citationLiberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2009.06.006 · Cited by 10,578 · see citing works
Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009) · Annals of Internal Medicine · doi:10.7326/0003-4819-151-4-200908180-00136 · Cited by 10,349 · see citing works
Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009) · Italian Journal of Public Health · doi:10.2427/5768 · Cited by 3,374 · see citing works
Shang, B., Liu, Y., Jiang, S.-J., & Liu, Y. (2015) · Scientific Reports · doi:10.1038/srep15179 · Cited by 985 · see citing works
Schwingshackl, L., & Hoffmann, G. (2015) · Journal of the Academy of Nutrition and Dietetics · doi:10.1016/j.jand.2014.12.009 · Cited by 1,022 · see citing works
Choosing effect measures and computing estimates of effect
Higgins, J. P., Li, T., & Deeks, J. J. (2019) · Cochrane Handbook for Systematic Reviews of Interventions · doi:10.1002/9781119536604.ch6 · Cited by 977 · see citing works
GRADE guidelines: 12. Preparing Summary of Findings tables—binary outcomes
Guyatt, G. H., Oxman, A. D., Santesso, N., Helfand, M., Vist, G., Kunz, R., Brozek, J., Norris, S., Meerpohl, J., Djulbegovic, B., et al. (2013) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2012.01.012 · Cited by 836 · see citing works
Early palliative care for adults with advanced cancer
Haun, M. W., Estel, S., Rücker, G., Friederich, H.-C., Villalobos, M., Thomas, M., & Hartmann, M. (2017) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd011129.pub2 · Cited by 757 · see citing works
Fu, R., Gartlehner, G., Grant, M., Shamliyan, T., Sedrakyan, A., Wilt, T. J., Griffith, L., Oremus, M., Raina, P., Ismaila, A., et al. (2011) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2010.08.010 · Cited by 730 · see citing works
Completing ‘Summary of findings’ tables and grading the certainty of the evidence
Schünemann, H. J., Higgins, J. P., Vist, G. E., Glasziou, P., Akl, E. A., Skoetz, N., Guyatt, G. H., & on behalf of the Cochrane GRADEing Methods Group (formerly Applicability and Recommendations Methods Group) and the Cochrane Statistical Methods Group (2019) · Cochrane Handbook for Systematic Reviews of Interventions · doi:10.1002/9781119536604.ch14 · Cited by 669 · see citing works
Campbell, J. M., Bellman, S. M., Stephenson, M. D., & Lisy., K. (2017) · Ageing Research Reviews · doi:10.1016/j.arr.2017.08.003 · Cited by 455 · see citing works
Coenen, P., Huysmans, M. A., Holtermann, A., Krause, N., van Mechelen, W., Straker, L. M., & van der Beek, A. J. (2018) · British Journal of Sports Medicine · doi:10.1136/bjsports-2017-098540 · Cited by 360 · see citing works
Campbell, J. M., Stephenson, M. D., de Courten, B., Chapman, I., Bellman, S. M., & Aromataris, E. (2018) · Journal of Alzheimer s Disease · doi:10.3233/jad-180263 · Cited by 292 · see citing works
Blood Pressure Lowering Treatment Trialists' Collaboration (2013) · BMJ · doi:10.1136/bmj.f5680 · Cited by 263 · see citing works
Fakhry, T. K., Mhaskar, R., Schwitalla, T., Muradova, E., Gonzalvo, J. P., & Murr, M. M. (2019) · Surgery for Obesity and Related Diseases · doi:10.1016/j.soard.2018.12.002 · Cited by 259 · see citing works
Methods for including information from multi-arm trials in pairwise meta-analysis
Rücker, G., Cates, C. J., & Schwarzer, G. (2017) · Research Synthesis Methods · doi:10.1002/jrsm.1259 · Cited by 251 · see citing works
Tao, W.-W., Jiang, H., Tao, X.-M., Jiang, P., Sha, L.-Y., & Sun, X.-C. (2016) · Journal of Pain and Symptom Management · doi:10.1016/j.jpainsymman.2015.11.027 · Cited by 233 · see citing works
Hakalahti, A., Biancari, F., Nielsen, J. C., & Raatikainen, M. J. P. (2015) · Europace · doi:10.1093/europace/euu376 · Cited by 191 · see citing works
Haentjens, P., Van Meerhaeghe, A., Poppe, K., & Velkeniers, B. (2008) · European Journal of Endocrinology · doi:10.1530/eje-08-0110 · Cited by 174 · see citing works
Cepoiu-Martin, M., Tam-Tham, H., Patten, S., Maxwell, C. J., & Hogan, D. B. (2016) · International Journal of Geriatric Psychiatry · doi:10.1002/gps.4449 · Cited by 175 · see citing works
Mindfulness-based stress reduction for women diagnosed with breast cancer
Schell, L. K., Monsef, I., Wöckel, A., & Skoetz, N. (2019) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd011518.pub2 · Cited by 168 · see citing works
Ivermectin for preventing and treating COVID-19
Popp, M., Reis, S., Schießer, S., Hausinger, R. I., Stegemann, M., Metzendorf, M.-I., Kranke, P., Meybohm, P., Skoetz, N., & Weibel, S. (2022) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd015017.pub3 · Cited by 169 · see citing works
Yin, M., Zhou, J., Gorak, E. J., & Quddus, F. (2013) · The Oncologist · doi:10.1634/theoncologist.2013-0111 · Cited by 157 · see citing works
Batelaan, N. M., Bosman, R. C., Muntingh, A., Scholten, W. D., Huijbregts, K. M., & van Balkom, A. J. L. M. (2017) · BMJ · doi:10.1136/bmj.j3927 · Cited by 153 · see citing works
Wilson, B. E., Routy, B., Nagrial, A., & Chin, V. T. (2020) · Cancer Immunology, Immunotherapy · doi:10.1007/s00262-019-02453-2 · Cited by 152 · see citing works
Bisphosphonates in multiple myeloma: a network meta-analysis
Mhaskar, R., Redzepovic, J., Wheatley, K., Clark, O. A. C., Miladinovic, B., Glasmacher, A., Kumar, A., & Djulbegovic, B. (2012) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd003188.pub3 · Cited by 130 · see citing works
Introduction to systematic reviews and meta‐analysis
McKenzie, J. E., Beller, E. M., & Forbes, A. B. (2016) · Respirology · doi:10.1111/resp.12783 · Cited by 101 · see citing works
Mhaskar, R., Djulbegovic, B., Magazin, A., Soares, H. P., & Kumar, A. (2012) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2011.10.016 · Cited by 102 · see citing works
Van Leeuwen, E., van Driel, M. L., Horowitz, M. A., Kendrick, T., Donald, M., De Sutter, A. I., Robertson, L., & Christiaens, T. (2021) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd013495.pub2 · Cited by 90 · see citing works
Zhang, Z., Zhang, L., Zhang, G., Jin, J., & Zheng, Z. (2018) · BMC Psychiatry · doi:10.1186/s12888-018-1610-5 · Cited by 99 · see citing works
Prognostic value of the systemic inflammation response index in human malignancy: A meta-analysis
Wei, L., Xie, H., & Yan, P. (2020) · Medicine · doi:10.1097/md.0000000000023486 · Cited by 93 · see citing works
Lima, A. B. C., Macedo, L. T., & Sasse, A. D. (2011) · PLoS ONE · doi:10.1371/journal.pone.0022681 · Cited by 92 · see citing works
Burkhardt, B. E., Rücker, G., & Stiller, B. (2015) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd009515.pub2 · Cited by 81 · see citing works
Prognostic Value of SMAD4 in Pancreatic Cancer: A Meta-Analysis
Shugang, X., Hongfa, Y., Jianpeng, L., Xu, Z., Jingqi, F., Xiangxiang, L., & Wei, L. (2016) · Translational Oncology · doi:10.1016/j.tranon.2015.11.007 · Cited by 72 · see citing works
Wang, X. L., Jiang, J. T., & Wu, C. P. (2016) · Genetics and Molecular Research · doi:10.4238/gmr15049040 · Cited by 71 · see citing works
Li, S., Chen, L., Jin, W., Ma, X., Ma, Y., Dong, F., Zhu, H., Li, J., & Wang, K. (2017) · Scientific Reports · doi:10.1038/s41598-017-18278-x · Cited by 68 · see citing works
Wan, G., Sun, X., Li, F., Wang, X., Li, C., Li, H., Yu, X., & Cao, F. (2018) · Cellular Physiology and Biochemistry · doi:10.1159/000493214 · Cited by 57 · see citing works
Moreno Roig, E., Yaromina, A., Houben, R., Groot, A. J., Dubois, L., & Vooijs, M. (2018) · Frontiers in Oncology · doi:10.3389/fonc.2018.00224 · Cited by 60 · see citing works
Hu, J., Chen, J.-B., Cui, Y., Zhu, Y.-W., Ren, W.-B., Zhou, X., Liu, L.-F., Chen, H.-Q., & Zu, X.-B. (2018) · Medicine · doi:10.1097/md.0000000000011596 · Cited by 56 · see citing works
Samnani, S., Cenzer, I., Kline, G. A., Lee, S. J., Hundemer, G. L., McClurg, C., Pasieka, J. L., Boscardin, W. J., Ronksley, P. E., & Leung, A. A. (2024) · The Journal of Clinical Endocrinology & Metabolism · doi:10.1210/clinem/dgad654 · Cited by 50 · see citing works
Boutron, I., Chaimani, A., Devane, D., Meerpohl, J. J., Rada, G., Hróbjartsson, A., Tovey, D., Grasselli, G., & Ravaud, P. (2020) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd013769 · Cited by 41 · see citing works
The Prognostic Value of Platelet-to-Lymphocyte Ratio in Urological Cancers: A Meta-Analysis
Li, D.-Y., Hao, X.-Y., Ma, T.-M., Dai, H.-X., & Song, Y.-S. (2017) · Scientific Reports · doi:10.1038/s41598-017-15673-2 · Cited by 44 · see citing works
Effects of serelaxin in patients admitted for acute heart failure: a meta-analysis
Teerlink, J. R., Davison, B. A., Cotter, G., Maggioni, A. P., Sato, N., Chioncel, O., Ertl, G., Felker, G. M., Filippatos, G., Greenberg, B. H., et al. (2020) · European Journal of Heart Failure · doi:10.1002/ejhf.1692 · Cited by 41 · see citing works
Psychosocial interventions for survivors of rape and sexual assault experienced during adulthood
O'Doherty, L., Whelan, M., Carter, G. J., Brown, K., Tarzia, L., Hegarty, K., Feder, G., & Brown, S. J. (2023) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd013456.pub2 · Cited by 37 · see citing works
Koutsokera, A., Varughese, R. A., Sykes, J., Orchanian-Cheff, A., Shah, P. S., Chaparro, C., Tullis, E., Singer, L. G., & Stephenson, A. L. (2019) · Journal of Cystic Fibrosis · doi:10.1016/j.jcf.2018.10.013 · Cited by 36 · see citing works
Ping, W., Sun, W., Zu, Y., Chen, W., & Fu, X. (2014) · Tumor Biology · doi:10.1007/s13277-013-1579-0 · Cited by 36 · see citing works
Fan, Y., Li, H., Ma, X., Gao, Y., Chen, L., Li, X., Bao, X., Du, Q., Zhang, Y., & Zhang, X. (2015) · Medicine · doi:10.1097/md.0000000000001646 · Cited by 32 · see citing works
Yoga in addition to standard care for patients with haematological malignancies
Felbel, S., Meerpohl, J. J., Monsef, I., Engert, A., & Skoetz, N. (2014) · Cochrane Database of Systematic Reviews · doi:10.1002/14651858.cd010146.pub2 · Cited by 31 · see citing works
Gu, Y., Ji, Y., Jiang, H., & Qiu, G. (2020) · Genetic Testing and Molecular Biomarkers · doi:10.1089/gtmb.2020.0078 · Cited by 28 · see citing works
Zhang, Q., Dai, H.-H., Dong, H.-Y., Sun, C.-T., Yang, Z., & Han, J.-Q. (2014) · Lung Cancer · doi:10.1016/j.lungcan.2014.06.011 · Cited by 25 · see citing works
Chang, C.-Y., Chien, Y.-J., Lin, P.-C., Chen, C.-S., & Wu, M.-Y. (2020) · The Journal of Clinical Endocrinology & Metabolism · doi:10.1210/clinem/dgaa310 · Cited by 20 · see citing works
Masson, W., Lobo, M., Barbagelata, L., Lavalle-Cobo, A., & Molinero, G. (2021) · Diabetes & Metabolic Syndrome: Clinical Research & Reviews · doi:10.1016/j.dsx.2021.06.001 · Cited by 17 · see citing works
Lavalle-Cobo, A., Masson, W., Lobo, M., Masson, G., & Molinero, G. (2021) · High Blood Pressure & Cardiovascular Prevention · doi:10.1007/s40292-021-00479-1 · Cited by 9 · see citing works
Prognostic value of SMAD4 in resectable pancreatic cancer
Su, H., & Wang, C. (2022) · Postępy Higieny i Medycyny Doświadczalnej · doi:10.2478/ahem-2022-0036 · Cited by 1 · see citing works
- Authors
- Tierney, J. F., Stewart, L. A., Ghersi, D., Burdett, S., & Sydes, M. R.
- Affiliations
- MRC Clinical Trials Unit at UCL (GB)
- University of York (GB)
- National Health and Medical Research Council (AU)
- Corresponding author
- Tierney, Jayne F
- Venue
- Trials
- Published
- 2007-06-07
- Volume
- 8
- Issue
- 1
- Pages
- 16-16
- ISSN
- 1745-6215 (ISSN-L)
- PMC
- PMC1920534
- OpenAlex
- W2088095316
- Cited by
- 6,208
- References
- 19
- Citations by year
- 2026: 243 · 2025: 311 · 2024: 403 · 2023: 482 · 2022: 563 · 2021: 665 · 2020: 584 · 2019: 491 · 2018: 467 · 2017: 485 · 2016: 397 · 2015: 344 · 2014: 246 · 2013: 206 · 2012: 108
- FWCI
- 36.82
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Trials (publishedVersion)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- UCL Discovery (University College London) (submittedVersion)
- Funders
- Medical Research Council
- Australian Research Council
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- time-to-event data, hazard ratio, meta-analysis, summary data, individual patient data, survival analysis, spreadsheet calculations, trial reports
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