Use of covariates in randomized controlled trials
Open accessAbstract
A recent discussion in this journal illustrates some recurrent misunderstandings about the role of covariates in randomized controlled trials (RCTs). This letter aims at clarifying this role and at pointing out a pitfall in SPSS repeated measures ANOVA. We hope that our commentary will contribute to a further improvement in the use of advanced statistics in neuropsychology.
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?
The use of covariates in a study design such as this is not a sound strategy.
“detailed statistical arguments as to why the use of covariates in a study design such as ours is not a sound strategy.”
From The effect of risk communication on periodontal treatment outcomes: A randomized controlled trial. (2019) · cites this paper as [20]
The paper does not argue that using covariates in randomized controlled trials is unsound. In its discussion of baseline differences, it says covariates can increase the power of a treatment-effect test, although they are not needed to correct chance baseline differences. The citing sentence does not specify what differs about its own design, so the paper cannot establish a blanket judgment about that design. (LLM, conf=0.88)
Checked by a reasoning model — may be wrong.
Experimental — accuracy not yet measured
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
Van Breukelen, G. J. P. (2006) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2006.02.007 · Cited by 765 · see citing works
Self-citationThe effect of cataract surgery on neuropsychological test performance: A randomized controlled trial
Anstey, K. J., Lord, S. R., Hennessy, M., MITCHELL, P., MILL, K., & von Sanden, C. (2006) · Journal of the International Neuropsychological Society · doi:10.1017/s1355617706060954 · Cited by 40 · see citing works
Our correct use of ANCOVA yields acceptable results
ANSTEY, K. J., SALIM, A., LORD, S. R., HENNESSY, M., MITCHELL, P., MILL, K., & SANDEN, C. V. (2007) · Journal of the International Neuropsychological Society · doi:10.1017/s135561770707049x
Inappropriate use of covariate analysis renders meaningless results
GILMORE, G. C. (2007) · Journal of the International Neuropsychological Society · doi:10.1017/s1355617707070464
Flagged first, then by citations
Research works printed but not linked: 1
- Little, R.J.A. (1995). Modeling the drop-out mechanism in repeated- measures studies. Journal of the American Statistical Associa- tion, 90, 1112-1121.
Cited by
Sorted by citations
Alleva, J. M., Martijn, C., van Breukelen, G., Jansen, A. T. M., & Karos, K. (2015) · Body Image · doi:10.1016/j.bodyim.2015.07.001 · Cited by 356 · see citing works
Overcoming the urge to splurge: Influencing eating behavior by manipulating inhibitory control
Houben, K. (2011) · Journal of Behavior Therapy and Experimental Psychiatry · doi:10.1016/j.jbtep.2011.02.008 · Cited by 191 · see citing works
Thiart, H., Lehr, D., Ebert, D. D., Berking, M., & Riper, H. (2015) · Scandinavian Journal of Work, Environment & Health · doi:10.5271/sjweh.3478 · Cited by 168 · see citing works
The role of motivation in distracting attention away from pain: An experimental study
Verhoeven, K., Crombez, G., Eccleston, C., Van Ryckeghem, D. M. L., Morley, S., & Van Damme, S. (2010) · Pain · doi:10.1016/j.pain.2010.01.019 · Cited by 147 · see citing works
Wilkins, C. L., Wellman, J. D., Babbitt, L. G., Toosi, N. R., & Schad, K. D. (2014) · Journal of Experimental Social Psychology · doi:10.1016/j.jesp.2014.10.008 · Cited by 147 · see citing works
Winn, N. C., Liu, Y., Rector, R. S., Parks, E. J., Ibdah, J. A., & Kanaley, J. A. (2017) · Metabolism · doi:10.1016/j.metabol.2017.08.012 · Cited by 136 · see citing works
The impact of binaural beats on creativity
Reedijk, S. A., Bolders, A., & Hommel, B. (2013) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2013.00786 · Cited by 117 · see citing works
Demerouti, E., Soyer, L. M. A., Vakola, M., & Xanthopoulou, D. (2020) · Journal of Occupational and Organizational Psychology · doi:10.1111/joop.12330 · Cited by 114 · see citing works
Firk, C., & Markus, C. (2009) · Clinical Nutrition · doi:10.1016/j.clnu.2009.03.002 · Cited by 79 · see citing works
The effect of disgust on oral immune function
Stevenson, R. J., Hodgson, D. M., Oaten, M., Barouei, J., & Case, T. I. (2010) · Psychophysiology · doi:10.1111/j.1469-8986.2010.01165.x · Cited by 64 · see citing works
Neher, T. (2014) · Frontiers in Neuroscience · doi:10.3389/fnins.2014.00391 · Cited by 58 · see citing works
Houben, K., Nederkoorn, C., & Jansen, A. T. M. (2012) · Appetite · doi:10.1016/j.appet.2012.07.004 · Cited by 69 · see citing works
Vossen, H. G. M., Kenis, G., Rutten, B. P. F., van Os, J., Hermens, H. J., & Lousberg, R. L. (2010) · PLoS ONE · doi:10.1371/journal.pone.0013641 · Cited by 61 · see citing works
Analysis of Covariance (ANCOVA) vs. Moderated Regression (MODREG): Why the Interaction Matters
Leppink, J. (2018) · Health Professions Education · doi:10.1016/j.hpe.2018.04.001 · Cited by 59 · see citing works
Plaks, J. E., Malahy, L. W., Sedlins, M., & Shoda, Y. (2011) · Social Psychological and Personality Science · doi:10.1177/1948550611408118 · Cited by 51 · see citing works
Wanzek, J., & Roberts, G. (2012) · Learning Disability Quarterly · doi:10.1177/0731948711434047 · Cited by 55 · see citing works
More potential in statistical analyses of event‐related potentials: a mixed regression approach
Vossen, H. G. M., van Breukelen, G., Hermens, H. J., van Os, J., & Lousberg, R. L. (2011) · International Journal of Methods in Psychiatric Research · doi:10.1002/mpr.348 · Cited by 51 · see citing works
Gavelin, H. M., Boraxbekk, C., Stenlund, T., Järvholm, L. S., & Neely, A. S. (2015) · Stress · doi:10.3109/10253890.2015.1064892 · Cited by 48 · see citing works
Walton, K. M., & Ingersoll, B. R. (2014) · Autism · doi:10.1177/1362361314523144 · Cited by 41 · see citing works
A delicious fly in the soup. The relationship between disgust, obesity, and restraint.
Houben, K., & Havermans, R. (2012) · Appetite · doi:10.1016/j.appet.2012.01.018 · Cited by 36
The effect of risk communication on periodontal treatment outcomes: A randomized controlled trial.
Asimakopoulou, K., Nolan, M., McCarthy, C., & Newton, J. T. (2019) · Journal of Periodontology · doi:10.1002/jper.18-0385 · Cited by 34 · see citing works
Nugent, J. K., Bartlett, J. D., Ende, A. V., & Valim, C. (2017) · Infants & Young Children · doi:10.1097/iyc.0000000000000103 · Cited by 45 · see citing works
Attention to emotional information is associated with cytokine responses to psychological stress.
Maydych, V., Claus, M., Watzl, C., & Kleinsorge, T. (2018) · Frontiers in Neuroscience · doi:10.3389/fnins.2018.00687 · Cited by 33 · see citing works
Baseline comparisons and covariate fishing: Bad statistical habits we should have broken yesterdayPreprint
Gruijters, S. L. K. (2020) · doi:10.31234/osf.io/qftwg · Cited by 32 · see citing works
Beyond Traditional Clinical Measurements for Screening Fears and Phobias
Rosa, P. J., Esteves, F. G., & Arriaga, P. (2015) · IEEE Transactions on Instrumentation and Measurement · doi:10.1109/tim.2015.2450292 · Cited by 33 · see citing works
“The covariate (anxiety trait level) was centered before the analysis as recommended in [67].”
MethodMiller-Lewis, L. R., Tieman, J., Rawlings, D., Parker, D., & Sanderson, C. R. (2018) · OMEGA - Journal of Death and Dying · doi:10.1177/0030222818765813 · Cited by 27 · see citing works
Plak, R. D., Kegel, C. A. T., & Bus, A. G. (2015) · Development and Psychopathology · doi:10.1017/s0954579414001308 · Cited by 22 · see citing works
Garbett, K. M., Lewis‐Smith, H., Chaudhry, A., Shroff, H., Dhillon, M., White, P., & Diedrichs, P. C. (2021) · Body Image · doi:10.1016/j.bodyim.2021.02.011 · Cited by 26 · see citing works
Salvato, G., Scarpa, P., Francione, S., Mai, R., Tassi, L., Scarano, E., Russo, G. L., & Bottini, G. (2016) · Epilepsy & Behavior · doi:10.1016/j.yebeh.2016.08.029 · Cited by 22 · see citing works
“To account for potential pitfalls of the SPSS repeated measures ANCOVA, covariates were centered before the analysis, subtracting the sample mean from each individual score [44].”
MethodHouben, K., Roefs, A., & Jansen, A. (2012) · Eating Behaviors · doi:10.1016/j.eatbeh.2012.03.007 · Cited by 24 · see citing works
“…density ratings were analyzed using a Univariate Analysis of Variance (ANOVA) with condition (HC, MC or LC) as a between-subjects factor and dietary restraint as a (standardized) continuous covariate (instead of performing amedian split tominimize loss of power, van Breukelen & van Dijk, 2007).”
MethodJensen, C. G., Lansner, J., Petersen, A., Vangkilde, S., Ringkøbing, S. P., Frøkjær, V. G., Adamsen, D., Knudsen, G. M., Denninger, J. W., & Hasselbalch, S. G. (2015) · BMC Public Health · doi:10.1186/s12889-015-2588-2 · Cited by 51 · see citing works
Rominger, C., Weber, B., Aldrian, A., Berger, L. M., & Schwerdtfeger, A. R. (2021) · Physiology & Behavior · doi:10.1016/j.physbeh.2021.113558 · Cited by 28 · see citing works
“The ANCOVAs with z-transformed age, gender, WHR, and BMI as covariates indicated virtually no changes of the fasten induced changes of HRV and HR ([60]; see Supplemental Table 1).”
Lockwood, P. L., Millings, A., Hepper, E. G., & Rowe, A. C. (2013) · Journal of Individual Differences · doi:10.1027/1614-0001/a000098 · Cited by 17 · see citing works
“We simultaneously entered cognitive empathy and emotional empathy as centered continuous predictors in a 3 (Face: happy vs. sad vs. crying) x 2 (Word: caregiving vs. neutral) GLM analysis with repeated measures on the latter two factors (for similar procedures see Van Breukelen & Van Dijk, 2007).”
MethodJustino, J., & Kolinsky, R. (2023) · Acta Psychologica · doi:10.1016/j.actpsy.2023.103927 · Cited by 20 · see citing works
Folk beliefs about genetic variation predict avoidance of biracial individuals
Kang, S. K., Plaks, J. E., & Remedios, J. D. (2015) · Frontiers in Psychology · doi:10.3389/fpsyg.2015.00357 · Cited by 24 · see citing works
Anxiety, pCO2 and cerebral blood flow
den Bergh, O. V., Zaman, J., Bresseleers, J., Verhamme, P. B., & Diest, I. V. (2013) · International Journal of Psychophysiology · doi:10.1016/j.ijpsycho.2013.05.011 · Cited by 23 · see citing works
Substituting snacks with strawberries and Sudokus: Does restraint matter?
Giesen, J. C. A. H., Havermans, R. C., & Jansen, A. T. M. (2010) · Health Psychology · doi:10.1037/a0017436 · Cited by 22 · see citing works
Johanson, C., Gutwin, C. A., & Mandryk, R. L. (2023) · International Journal of Human-Computer Studies · doi:10.1016/j.ijhcs.2023.103097 · Cited by 18 · see citing works
Jawinski, P., Mauche, N., Ulke, C., Huang, J., Spada, J., Enzenbach, C., Sander, C., Hegerl, U., & Hensch, T. (2016) · Psychopharmacology · doi:10.1007/s00213-016-4268-z · Cited by 16 · see citing works
Hanna, A. S. H., & Pidgeon, A. M. (2018) · OBM Integrative and Complementary Medicine · doi:10.21926/obm.icm.1802007 · Cited by 16 · see citing works
“Baseline scores on the dependent variables and participant age were used as covariates as per previous research [54, 55].”
MethodVreeken, H. L., van Rens, G. H. M. B., Kramer, S. E., Knol, D. L., Festen, J. Μ., & van Nispen, R. M. A. (2013) · BMC Geriatrics · doi:10.1186/1471-2318-13-84 · Cited by 12 · see citing works
Motor training‐related brain reorganization in patients with cerebellar degeneration
Draganova, R., Konietschke, F., Steiner, K. M., Elangovan, N., Gümüs, M., Göricke, S. L., Ernst, T., Deistung, A., van Eimeren, T., Konczak, J., et al. (2021) · Human Brain Mapping · doi:10.1002/hbm.25746 · Cited by 19 · see citing works
de la Torre‐Luque, A., Fiol‐Veny, A., Essau, C. A., Balle, M., & Bornas, X. (2019) · Journal of Affective Disorders · doi:10.1016/j.jad.2019.11.078 · Cited by 13 · see citing works
Dewey, R. S., Francis, S., Guest, H., Prendergast, G., Millman, R. E., Plack, C. J., & Hall, D. A. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2019.116239 · Cited by 16 · see citing works
Guest, E., Jarman, H. K., Sharratt, N. D., Williamson, H., White, P., Harcourt, D. M., & Slater, A. (2020) · Body Image · doi:10.1016/j.bodyim.2020.09.010 · Cited by 15 · see citing works
Ceunen, E., Zaman, J., Vlaeyen, J., Dankaerts, W., & Diest, I. V. (2014) · PLoS ONE · doi:10.1371/journal.pone.0088482 · Cited by 12
“All continuous predictors were centered around the person’s mean [34,35].”
BackgroundIorfino, F., Alvares, G. A., Guastella, A. J., & Quintana, D. S. (2015) · Journal of Psychophysiology · doi:10.1027/0269-8803/a000152 · Cited by 10 · see citing works
The influence of seductive details in learning environments with low and high extrinsic motivation
Wesenberg, L., Jansen, S., Krieglstein, F., Schneider, S., & Rey, G. D. (2024) · Learning and Instruction · doi:10.1016/j.learninstruc.2024.102054 · Cited by 15 · see citing works
Gené‐Morales, J., Juesas, Á., Saez-Berlanga, Á., Martin, E. G., Garrigues-Pelufo, L., Sandoval-Camargo, B. S., Martin-Rivera, F., Chulvi‐Medrano, I., Jiménez‐Martínez, P., Alix‐Fages, C., et al. (2025) · Nutrients · doi:10.3390/nu17091431 · Cited by 11 · see citing works
“This adjustment was made by including baseline values of the 6 min Walk Test and fat mass as covariates to control for potential initial differences affecting intervention outcomes [55,56].”
Serum Vitamin D Level is Associated with Speed of Processing in Multiple Sclerosis Patients.
Darwish, H., Farran, N., Hannoun, S., Tadros, N., Yamout, B., Ayoubi, N. E. E., & Khoury, S. (2020) · Journal of Steroid Biochemistry and Molecular Biology · doi:10.1016/j.jsbmb.2020.105628 · Cited by 10
“Both of these variables were centered around their means [57-60].”
Is a Change as Good as a Rest? Comparing BreakTypes for Spaced Practice in a Platformer Game
Piller, B., Johanson, C., Phillips, C. J., Gutwin, C. A., & Mandryk, R. L. (2020) · Annual Symposium on Computer-Human Interaction in Play · doi:10.1145/3410404.3414225 · Cited by 9 · see citing works
“Alpha was set at 0.05, all covariates were mean-centred [69], and all pairwise comparisons used the estimated marginal means and Bonferroni corrections.”
InfluentialUrlings, J. H. J., Roelofs, E., Cuenen, A., Brijs, K., Brijs, T., & Jongen, E. M. M. (2019) · Educational Gerontology · doi:10.1080/03601277.2019.1619954 · Cited by 9 · see citing works
“Following the recommendations of Van Breukelen and Van Dijk (2007), centered learning capacity score (i.e., centered AVLT Delta score) was entered as a covariate.”
BackgroundMethodVossen, H., van Breukelen, G. V., van Os, J., Hermens, H., & Lousberg, R. (2011) · Journal of Psychophysiology · doi:10.1027/0269-8803/a000028 · Cited by 8 · see citing works
Juesas, Á., Saez-Berlanga, Á., Babiloni-López, C., Martin, E. G., Garrigues-Pelufo, L., Ferri-Caruana, A. M., Gené‐Morales, J., Martin-Rivera, F., Chulvi‐Medrano, I., Jiménez‐Martínez, P., et al. (2025) · Diseases · doi:10.3390/diseases13020062 · Cited by 6 · see citing works
“This was completed using baseline values of fat mass, glycemia, HDL, and LDL as covariates to eliminate the potential influence of initial differences on intervention outcomes [59,60].”
Ramirez-Hernandez, D., Wong, D. K., Ownsworth, T., & Stolwyk, R. J. (2021) · Neuropsychological Rehabilitation · doi:10.1080/09602011.2021.1993273 · Cited by 8 · see citing works
Zarski, A., Bernstein, K., Baumeister, H., Lehr, D., Wernicke, S., Küchler, A., Kählke, F., Spiegelhalder, K., & Ebert, D. D. (2025) · Journal of Medical Internet Research · doi:10.2196/58024 · Cited by 7 · see citing works
“For the primary outcome at T2 and T3, we used an ITT-based univariate analysis of covariance (ANCOVA) with baseline ISI scores as covariates, comparing iCBT-I to aCG [78,79].”
Rijmen, J., & Wiersema, J. R. (2024) · Neuropsychologia · doi:10.1016/j.neuropsychologia.2024.108961 · Cited by 6 · see citing works
Frizelle, P., Harte, J., Fletcher, P. J., & GIBBON, F. E. (2017) · International Journal of Speech-Language Pathology · doi:10.1080/17549507.2017.1293734 · Cited by 5 · see citing works
Bayesian analysis of covariance under inverse Gaussian model
Meshkani, M., Fallah, A., & Kavousi, A. (2015) · Journal of Applied Statistics · doi:10.1080/02664763.2015.1049131 · Cited by 5 · see citing works
“Papers [17,21] contain examples from Neuropsychology and other life sciences.”
BackgroundAnalysis of covariance under inverse Gaussian model
Meshkani, M., Fallah, A., & Kavousi, A. (2014) · doi:10.1080/02664763.2013.862222 · Cited by 5
Antidepressant Medication May Moderate the Effect of Depression Duration on Hippocampus Volume
Rogers, M. A., Yamasue, H., & Kasai, K. (2015) · Journal of Psychophysiology · doi:10.1027/0269-8803/a000148 · Cited by 5 · see citing works
Dang, J. M., Bashmi, L., Meeneghan, S., White, J., Hedrick, R., Djurović, J., Vanle, B., Nguyen, D., Almendarez, J., Ravets, P., et al. (2018) · OBM Integrative and Complementary Medicine · doi:10.21926/obm.icm.1802011 · Cited by 4 · see citing works
Bergen, D., Schroer, J. E., Thomas, R. D., Zhang, X., Chou, M., & Chou, T. (2017) · Journal of Research in Childhood Education · doi:10.1080/02568543.2016.1242521 · Cited by 3 · see citing works
Boonstra, E., van Schouwenburg, M. R., Seth, A. K., Bauer, M., Zantvoord, J. B., Kemper, E. M., Lansink, C. S., & Slagter, H. A. (2020) · Psychopharmacology · doi:10.1007/s00213-020-05579-9 · Cited by 4 · see citing works
Reward and punishment-based compound cue learning and generalization in opiate dependency
Mahlberg, J., Haber, P., Morley, K., Weidemann, G., Hogarth, L., Beck, K., Myers, C., & Moustafa, A. (2017) · Experimental Brain Research · doi:10.1007/s00221-017-5046-9 · Cited by 3
Saez-Berlanga, Á., Gené‐Morales, J., Juesas, Á., Jiménez‐Martínez, P., Alix‐Fages, C., Garrido, J. F., Caballero, O., Janicijevic, D. N., Gallo, V., & Colado, J. C. (2025) · Applied Sciences · doi:10.3390/app152412862 · Cited by 2 · see citing works
Rijmen, J., Senoussi, M., & Wiersema, J. R. (2025) · Journal of Attention Disorders · doi:10.1177/10870547251357074 · Cited by 2 · see citing works
“Centralizing the ASRS total score this way improves interpretability of the main effects as they assume a score of 0 of the covariate, which corresponds to the sample mean when using z -scores (Van Breukelen & Van Dijk, 2007).”
Mixed Inverse Gaussian Analysis of Covariance for Censored Data: A Bayesian Approach
Mesdaghi, E., Fallah, A., Farnoosh, R., & Yari, G. (2025) · Journal of mathematics · doi:10.1155/jom/1131677
“Te results of simulation study and real-world example show that the proposed MIG ANCOVA model truly takes into account the right-skewness and censorship of data and leads to more reliable results than the other usual competitor models [18, 19].”
Alleva, J. M., Grünjes, C. E., Coenen, L., Custers, M., Vester, P., & Stutterheim, S. E. (2024) · Computers in Human Behavior · doi:10.1016/j.chb.2024.108178 · Cited by 23 · see citing works
Optimism, hope, and coping during practicum: predicting changes in perceived clinical competence
Feldman, D. B., Balaraman, M., Cawasji, U., & Riney-Niewiadomski, J. M. (2023) · Counselling Psychology Quarterly · doi:10.1080/09515070.2023.2224243
“Consistent with the recommendations of Van Breukelen and Van Dijk (2007), optimism and hope scores were mean-centered prior to these analyses.”
Sales, C. M. D., Saraiva, A., & Faísca, L. (2017) · Avances en Psicología Latinoamericana · doi:10.12804/revistas.urosario.edu.co/apl/a.3626 · Cited by 1 · see citing works
Leppink, J. (2020) · Springer texts in education · doi:10.1007/978-3-030-43082-5_2
- Authors
- VAN BREUKELEN, G. J. P., & VAN DIJK, K. R. A.
- Venue
- Journal of the International Neuropsychological Society
- Publisher
- Cambridge University Press (CUP)
- Published
- 2007-08-14
- Volume
- 13
- Issue
- 5
- Pages
- 903-904
- ISSN
- 1355-6177 (ISSN-L)
- 1469-7661
- OpenAlex
- W2155859251
- Cited by
- 78
- References
- 0
- Citations by year
- 2025: 6 · 2024: 4 · 2023: 4 · 2021: 4 · 2020: 6 · 2019: 4 · 2018: 4 · 2017: 6 · 2016: 2 · 2015: 12 · 2014: 4 · 2013: 4 · 2012: 5
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of the International Neuropsychological Society (publishedVersion)
- PubMed (publishedVersion)
- Research Publications (Maastricht University) (publishedVersion, other-oa)
- Research Publications (Maastricht University) (submittedVersion, other-oa)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Keywords
- covariates, randomized controlled trials, repeated measures ANOVA, SPSS, neuropsychological research, statistical analysis
- MeSH terms
- Analysis of Variance, Clinical Trials as Topic, Data Interpretation, Statistical, Humans, Randomized Controlled Trials as Topic
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