The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Causal Inference for Statistics, Social, and Biomedical Sciences: An Introduction
Abstract
Most questions in social and biomedical sciences are causal in nature: what would happen to individuals, or to groups, if part of their environment were changed? In this groundbreaking text, two world-renowned experts present statistical methods for studying such questions. This book starts with the notion of potential outcomes, each corresponding to the outcome that would be realized if a subject were exposed to a particular treatment or regime. In this approach, causal effects are comparisons of such potential outcomes. The fundamental problem of causal inference is that we can only observe one of the potential outcomes for a particular subject. The authors discuss how randomized experiments allow us to assess causal effects and then turn to observational studies. They lay out the assumptions needed for causal inference and describe the leading analysis methods, including matching, propensity-score methods, and instrumental variables. Many detailed applications are included, with special focus on practical aspects for the empirical researcher.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
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
“Under Assumption 1, the standard results for the variance of the difference in means for a randomized experiments apply (e.g., Neyman [1923/1990], Imbens and Rubin [2015]), and the exact variance of ˆ τ did is,”
From Design-based analysis in Difference-In-Differences settings with staggered adoption (2022) · cites this paper as Imbens and Rubin [2015]
Citations
Cites
The publisher hasn’t deposited this paper’s reference list.
Cited by
Sorted by citations
Items 901–1,000 of 1,008
Reshaping the structure of the World Trade Network: a pivotal role for China?
Hoang, V. P., Piccardi, C., & Tajoli, L. (2023) · Applied Network Science · doi:10.1007/s41109-023-00560-9 · Cited by 21
The Unfulfilled Promise of Longitudinal Designs for Causal Inference
Loh, W. W., & Ren, D. (2023) · Collabra Psychology · doi:10.1525/collabra.89142 · Cited by 23
Deep Causal Reasoning for Recommendations
Zhu, Y., Yi, J., Xie, J., & Chen, Z. (2024) · ACM Transactions on Intelligent Systems and Technology · doi:10.1145/3653985 · Cited by 21
Efficient propensity score regression estimators of multivalued treatment effects for the treated
Lee, Y. (2018) · Journal of Econometrics · doi:10.1016/j.jeconom.2018.02.002 · Cited by 21
Nudging museums attendance: a field experiment with high school teens
Lattarulo, P., Mariani, M., & Razzolini, L. (2016) · Journal of Cultural Economics · doi:10.1007/s10824-016-9285-6 · Cited by 26
Locke, C. M., Butsic, V., & Rissman, A. R. (2017) · Land Use Policy · doi:10.1016/j.landusepol.2017.03.019 · Cited by 21
Gim, T. T. (2017) · Transportation Letters · doi:10.1080/19427867.2017.1338544 · Cited by 21
A model averaging approach for estimating propensity scores by optimizing balance
Xie, Y., Zhu, Y., Cotton, C. A., & Wu, P. (2017) · Statistical Methods in Medical Research · doi:10.1177/0962280217715487 · Cited by 24
Maximizing Intervention Effectiveness
Gupta, V., Han, B. R., Kim, S., & Paek, H. (2020) · Management Science · doi:10.1287/mnsc.2019.3537 · Cited by 21
The financing of immigrant-owned firms in Canada
Ostrovsky, Y., Picot, G., & Leung, D. (2018) · Small Business Economics · doi:10.1007/s11187-018-0020-x · Cited by 21
Writing a discussion section: how to integrate substantive and statistical expertise
Höfler, M., Venz, J., Trautmann, S., & Miller, R. E. (2018) · BMC Medical Research Methodology · doi:10.1186/s12874-018-0490-1 · Cited by 21
Reichenberg, O., & Berglund, T. (2019) · Social Science Research · doi:10.1016/j.ssresearch.2019.04.007 · Cited by 21
Chyderiotis, S., Benmarhnia, T., Beck, F., Spilka, S., & Legleye, S. (2020) · Drug and Alcohol Dependence · doi:10.1016/j.drugalcdep.2020.107853 · Cited by 21
Causal Models for Dynamical Systems
Peters, J., Bauer, S., & Pfister, N. (2022) · ACM eBooks · doi:10.1145/3501714.3501752 · Cited by 23
Minimax designs for causal effects in temporal experiments with treatment habituation
Basse, G., Ding, Y., & Toulis, P. (2022) · Biometrika · doi:10.1093/biomet/asac024 · Cited by 20
Hemerik, J., & Goeman, J. J. (2020) · International Statistical Review · doi:10.1111/insr.12431 · Cited by 21
Beentjes, S. V., & Khamseh, A. (2020) · Physical review. E · doi:10.1103/physreve.102.053314 · Cited by 20
The Associations Between Music Training, Musical Working Memory, and Visuospatial Working Memory
Silas, S. J., Müllensiefen, D., Gelding, R. W., Frieler, K., & Harrison, P. M. C. (2022) · Music Perception An Interdisciplinary Journal · doi:10.1525/mp.2022.39.4.401 · Cited by 27
Evaluating a Key Instrumental Variable Assumption Using Randomization Tests
Branson, Z., & Keele, L. J. (2020) · American Journal of Epidemiology · doi:10.1093/aje/kwaa089 · Cited by 19
Feller, A., Grindal, T., Miratrix, L. W., & Page, L. C. (2014) · SSRN Electronic Journal · doi:10.2139/ssrn.2534811 · Cited by 21
Causal Modeling with Feedback Fuzzy Cognitive Maps
Osoba, O., & Kosko, B. (2019) · doi:10.1002/9781119485001.ch25 · Cited by 21
The Impact of Subscription Programs on Customer PurchasesPreprint
Iyengar, R., Park, Y.-H., & Yu, Q. D. (2020) · SSRN Electronic Journal · doi:10.2139/ssrn.3529681 · Cited by 21
Causal Inference with Genetic Data: Past, Present, and FuturePreprint
Pingault, J., Richmond, R. C., & Smith, G. D. (2021) · Cold Spring Harbor Perspectives in Medicine · doi:10.1101/cshperspect.a041271 · Cited by 25
Gender Preferences in Job Vacancies and Workplace Gender Diversity
Card, D., Colella, F., & Lalive, R. (2021) · National Bureau of Economic Research · doi:10.3386/w29350 · Cited by 21
Causal inference in the absence of positivity: The role of overlap weights
Matsouaka, R., & Zhou, Y. (2024) · Biometrical Journal · doi:10.1002/bimj.202300156 · Cited by 21
Rehill, P., & Biddle, N. (2024) · Data & Policy · doi:10.1017/dap.2024.35 · Cited by 20
Temporal Causality Analysis of Sentiment Change in a Cancer Survivor Network
Bui, N., Yen, J., & Honavar, V. (2016) · IEEE Transactions on Computational Social Systems · doi:10.1109/tcss.2016.2591880 · Cited by 20
Informative Subspace Learning for Counterfactual Inference
Chang, Y., & Dy, J. (2017) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v31i1.10800 · Cited by 22
Identifying and estimating the effects of a mandatory billing demand charge
Öhrlund, I., Schultzberg, M., & Bartusch, C. (2019) · Applied Energy · doi:10.1016/j.apenergy.2019.01.028 · Cited by 23
Practical valid inferences for the two-sample binomial problem
Fay, M. P., & Hunsberger, S. (2021) · Statistics Surveys · doi:10.1214/21-ss131 · Cited by 21
Adjognon, G. S., Soest, D. P. V., & Guthoff, J. (2020) · American Journal of Agricultural Economics · doi:10.1111/ajae.12150 · Cited by 21
Design-Based Ratio Estimators and Central Limit Theorems for Clustered, Blocked RCTs
Schochet, P. Z., Pashley, N. E., Miratrix, L. W., & Kautz, T. (2021) · Journal of the American Statistical Association · doi:10.1080/01621459.2021.1906685 · Cited by 21
Multiply robust matching estimators of average and quantile treatment effects
Yang, S., & Zhang, Y. (2022) · Scandinavian Journal of Statistics · doi:10.1111/sjos.12585 · Cited by 22
Causal Optimal Transport for Treatment Effect Estimation
Li, Q., Wang, Z., Liu, S., Li, G., & Xu, G. (2021) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2021.3118542 · Cited by 20
Uthaya, S. N., Longford, N. T., Battersby, C., Ougham, K., Lanoue, J., & Modi, N. (2021) · Archives of Disease in Childhood Fetal & Neonatal · doi:10.1136/archdischild-2021-322383 · Cited by 20
Yitayew, A., Abdulai, A., & Yigezu, Y. A. (2022) · European Review of Agricultural Economics · doi:10.1093/erae/jbac006 · Cited by 22
Marsh, H. W., Lüdtke, O., Pekrun, R., Parker, P. D., Murayama, K., Guo, J., Basarkod, G., Dicke, T., Donald, J. N., & Morin, A. J. S. (2023) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2023.102170 · Cited by 19
TikTok and Civic Activity Among Young Adults
Moffett, K. W., & Rice, L. L. (2023) · Social Science Computer Review · doi:10.1177/08944393231188470 · Cited by 41
A Tutorial on Causal Inference in Longitudinal Data With Time-Varying Confounding Using G-Estimation
Loh, W. W., & Ren, D. (2023) · Advances in Methods and Practices in Psychological Science · doi:10.1177/25152459231174029 · Cited by 23
GraphCA: Learning from Graph Counterfactual Augmentation for Knowledge Tracing
Wang, X., Zhao, S., Guo, L., Zhu, L., Cui, C., & Xu, L. (2023) · IEEE/CAA Journal of Automatica Sinica · doi:10.1109/jas.2023.123678 · Cited by 21
Bunyavanich, S., Becker, P. M., Altman, M. C., Lasky-Su, J. A., Ober, C., Zengler, K., Berdyshev, E. V., Bonneau, R., Chatila, T. A., Chatterjee, N., et al. (2024) · Journal of Allergy and Clinical Immunology · doi:10.1016/j.jaci.2024.01.014 · Cited by 19
Vandecandelaere, M., Vansteelandt, S., Fraine, B. D., & Damme, J. V. (2016) · Multivariate Behavioral Research · doi:10.1080/00273171.2016.1155146 · Cited by 26
Berk, R. A., Buja, A., Brown, L., George, E. I., Kuchibhotla, A. K., Su, W., & Zhao, L. H. (2019) · The American Statistician · doi:10.1080/00031305.2019.1592781 · Cited by 20
Robust Text Classification under Confounding Shift
Landeiro, V., & Culotta, A. (2018) · Journal of Artificial Intelligence Research · doi:10.1613/jair.1.11248 · Cited by 21
Ensuring Causal, Not Casual, Inference
Musci, R. J., & Stuart, E. A. (2019) · Prevention Science · doi:10.1007/s11121-018-0971-9 · Cited by 20
Does the market model provide a good counterfactual for event studies in finance?
Castro-Iragorri, C. (2019) · Financial markets and portfolio management · doi:10.1007/s11408-019-00325-4 · Cited by 22
Valente, M. J., MacKinnon, D. P., & Mazza, G. L. (2019) · Multivariate Behavioral Research · doi:10.1080/00273171.2019.1614429 · Cited by 20
Entropy Learning for Dynamic Treatment Regimes
Jiang, B., Song, R., Li, J., & Zeng, D. (2018) · Statistica Sinica · doi:10.5705/ss.202018.0076 · Cited by 20
A Statistical Roadmap for Journey from Real-World Data to Real-World Evidence
Fang, Y., Wang, H., & He, W. (2019) · Therapeutic Innovation & Regulatory Science · doi:10.1007/s43441-019-00008-2 · Cited by 20
CAUSE: Learning Granger Causality from Event Sequences using Attribution Methods
Zhang, W., Panum, T. K., Jha, S., Chalasani, P., & Page, D. (2020) · PubMed · doi:10.48550/arxiv.2002.07906 · Cited by 20
A Counterfactual Framework for Seller-Side A/B Testing on Marketplaces
Ha−Thuc, V., Dutta, A., Mao, R., Wood, M., & Liu, Y. (2020) · International ACM SIGIR Conference on Research and Development in Information Retrieval (SIGIR) · doi:10.1145/3397271.3401434 · Cited by 20
Public cooperation and the police: Do calls-for-service increase after homicides?
Brantingham, P. J., & Uchida, C. D. (2021) · Journal of Criminal Justice · doi:10.1016/j.jcrimjus.2021.101785 · Cited by 23
Randomization Tests to Assess Covariate Balance When Designing and Analyzing Matched Datasets
Branson, Z. (2021) · Observational Studies · doi:10.1353/obs.2021.0031 · Cited by 22
Greenbury, S. F., Ougham, K., Wu, J., Battersby, C., Gale, C., Modi, N., & Angelini, E. D. (2021) · Scientific Reports · doi:10.1038/s41598-021-85878-z · Cited by 20
A regularity theory of causality for the social sciences
Mahoney, J., & Acosta, L. (2021) · Quality & Quantity · doi:10.1007/s11135-021-01190-y · Cited by 24
Sampling-based vs. Design-based Uncertainty in Regression AnalysisPreprint
Abadie, A., Athey, S. C., Imbens, G. W., & Wooldridge, J. M. (2017) · RePEc: Research Papers in Economics · doi:10.48550/arxiv.1706.01778 · Cited by 20
Self-citationQuasi-Experimental Methods in Environmental Economics: Opportunities and Challenges
Deschênes, O., & Meng, K. C. (2018) · National Bureau of Economic Research · doi:10.3386/w24903 · Cited by 19
Sufficient Representations for Categorical VariablesPreprint
Johannemann, J., Hadad, V., Athey, S. C., & Wager, S. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1908.09874 · Cited by 39
Effect of emergency winter homeless shelters on property crime
Faraji, S.-L., Ridgeway, G. K., & Wu, Y. (2018) · Journal of Experimental Criminology · doi:10.1007/s11292-017-9320-4 · Cited by 19
Inferring causal networks of dynamical systems through transient dynamics and perturbation
Stepaniants, G., Brunton, B. W., & Kutz, J. N. (2020) · Physical review. E · doi:10.1103/physreve.102.042309 · Cited by 19
Suk, Y., Kim, J.-S., & Kang, H. (2020) · Journal of Educational and Behavioral Statistics · doi:10.3102/1076998620951983 · Cited by 18
Sufficient dimension reduction for average causal effect estimation
Cheng, D., Li, J., Liu, L., Le, T. D., Liu, J., & Yu, K. (2022) · Data Mining and Knowledge Discovery · doi:10.1007/s10618-022-00832-5 · Cited by 22
At What Level Should One Cluster Standard Errors in Paired and Small-Strata Experiments?
de Chaisemartin, C., & Ramírez, J. (2023) · American Economic Journal Applied Economics · doi:10.1257/app.20210252 · Cited by 19
A compositional mediation model for a binary outcome: Application to microbiome studies
Sohn, M. B., Lu, J., & Li, H. (2021) · Bioinformatics · doi:10.1093/bioinformatics/btab605 · Cited by 17
Causal inference for multiple treatments using fractional factorial designs
Pashley, N. E., & Bind, M. (2022) · Canadian Journal of Statistics · doi:10.1002/cjs.11734 · Cited by 26
Bittmann, F., Tekles, A., & Bornmann, L. (2021) · Quantitative Science Studies · doi:10.1162/qss_a_00158 · Cited by 24
Doubly robust identification for causal panel data models
Arkhangelsky, D., & Imbens, G. W. (2022) · Econometrics Journal · doi:10.1093/ectj/utac019 · Cited by 27
Self-citationOliveira, T. R. (2022) · Journal of Experimental Criminology · doi:10.1007/s11292-022-09527-9 · Cited by 23
Li, R., Liu, H., Chen, Z., & Wang, Y. (2022) · Journal of Vocational Behavior · doi:10.1016/j.jvb.2022.103813 · Cited by 24
Szatkowski, L. C., Fateh, S., Abramson, J., Kwok, T. C., Sharkey, D., Budge, H., & Ojha, S. (2023) · Archives of Disease in Childhood Fetal & Neonatal · doi:10.1136/archdischild-2022-324919 · Cited by 19
Causal Inference with Conditional Instruments Using Deep Generative Models
Cheng, D., Xu, Z., Li, J., Liu, L., Liu, J., & Le, T. D. (2023) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v37i6.25869 · Cited by 19
Fixed Effects and the Generalized Mundlak Estimator
Arkhangelsky, D., & Imbens, G. W. (2023) · The Review of Economic Studies · doi:10.1093/restud/rdad089 · Cited by 19
Self-citationUser-generated content affects urban park use: Analysis of direct and moderating effects
Wei, D., Liu, M., Grekousis, G., Wang, Y., & Lü, Y. (2023) · Urban forestry & urban greening · doi:10.1016/j.ufug.2023.128158 · Cited by 19
Bystanders of Online Moderation: Examining the Effects of Witnessing Post-Removal Explanations
Jhaver, S., Rathi, H., & Saha, K. (2024) · CHI Conference on Human Factors in Computing Systems · doi:10.1145/3613904.3642204 · Cited by 23
Going Public and the Internal Organization of the Firm
Bias, D., Lochner, B., Obernberger, S., & Sevilir, M. (2022) · The Journal of Finance · doi:10.1111/jofi.70012 · Cited by 19
Hu, A., & Mustillo, S. (2015) · Current Sociology · doi:10.1177/0011392115589599 · Cited by 20
On causal estimation using $U$-statistics
Mao, L. (2017) · Biometrika · doi:10.1093/biomet/asx071 · Cited by 19
Bunching at 3 Percent: The Maastricht Fiscal Criterion and Government Deficits
Caselli, F. G., & Wingender, P. (2018) · IMF Working Paper · doi:10.5089/9781484371732.001 · Cited by 20
Yao, L., Li, S., Li, Y., Huai, M., Gao, J., & Zhang, A. (2019) · Proceedings · doi:10.1109/icdm.2019.00186 · Cited by 19
An Experimental Study of Structural Diversity in Social Networks
Lasky-Su, J. A., Kamath, K. Y., Sharma, A., Ugander, J. H., & Goel, S. (2020) · Proceedings of the International AAAI Conference on Web and Social Media · doi:10.1609/icwsm.v14i1.7332 · Cited by 19
AdverTiming Matters: Examining User Ad Consumption for Effective Ad Allocations on Social Media
Saha, K., Liu, Y., Vincent, N., Chowdhury, F. A., Neves, L., Shah, N., & Bos, M. W. (2021) · CHI Conference on Human Factors in Computing Systems · doi:10.1145/3411764.3445394 · Cited by 22
Memory care reduces nursing home admissions among assisted‐living residents with dementia
Cornell, P. Y., Zhang, W., Smith, L., Rahman, M., Grabowski, D. C., Carder, P., & Thomas, K. S. (2022) · Alzheimer s & Dementia · doi:10.1002/alz.12513 · Cited by 19
Running Randomized Field Experiments for Energy Efficiency Programs: A Practitioner�s Guide
Gandhi, R., Knittel, C. R., Pedro, P., & Wolfram, C. (2016) · Economics of Energy and Environmental Policy · doi:10.5547/2160-5890.5.2.rgan · Cited by 19
The Effect of Retail Distribution on Sales of Alcoholic Beverages
Friberg, R., & Sanctuary, M. (2017) · Marketing Science · doi:10.1287/mksc.2017.1038 · Cited by 19
Matching algorithms for causal inference with multiple treatments
Scotina, A. D., & Gutman, R. (2019) · Statistics in Medicine · doi:10.1002/sim.8147 · Cited by 20
Does studying abroad enhance employability?
Liwiński, J. (2018) · Economics of Transition and Institutional Change · doi:10.1111/ecot.12203 · Cited by 19
Bo, H., & Galiani, S. (2021) · Research in Economics · doi:10.1016/j.rie.2021.06.005 · Cited by 19
Liang, L., & Acuna, D. E. (2020) · ACM Conference on Fairness, Accountability, and Transparency (FAccT) · doi:10.1145/3351095.3375623 · Cited by 18
FLAME: A Fast Large-scale Almost Matching Exactly Approach to Causal InferencePreprint
Wang, T., Morucci, M., Awan, M. U., Liu, Y., Roy, S., Rudin, C. D., & Volfovsky, A. (2017) · arXiv (Cornell University) · doi:10.48550/arxiv.1707.06315 · Cited by 22
Bail, C. A., Argyle, L. P., Brown, T., Bumpus, J. P., Chen, H., Hunzaker, M. B. F., Lee, J., Mann, M., Merhout, F., & Volfovsky, A. (2018) · SocArXiv (OSF Preprints) · doi:10.31235/osf.io/4ygux · Cited by 23
Combining Experimental and Observational Data to Estimate Treatment Effects on Long Term OutcomesPreprint
Athey, S. C., Chetty, R., & Imbens, G. W. (2020) · RePEc: Research Papers in Economics · Cited by 21
Self-citationWhy Experimental Balance Is Still a Reason to Randomize
Martinez, M., & Teira, D. (2021) · The British Journal for the Philosophy of Science · doi:10.1086/716096 · Cited by 19
Causal inference in the medical domain: a survey
Wu, X., Peng, S., Li, J., Zhang, J., Sun, Q., Li, W., Qian, Q., Liu, Y., & Guo, Y. (2024) · Applied Intelligence · doi:10.1007/s10489-024-05338-9 · Cited by 21
SIMVI disentangles intrinsic and spatial-induced cellular states in spatial omics data
Dong, M., Su, D. G., Kluger, H. M., Fan, R., & Kluger, Y. (2025) · Nature Communications · doi:10.1038/s41467-025-58089-7 · Cited by 25
Bayesian multi-view models for member-job matching and personalized skill recommendations
Maurya, A., & Telang, R. (2017) · IEEE International Conference on Big Data (BigData) · doi:10.1109/bigdata.2017.8258045 · Cited by 18
A review of single-source unsupervised domain adaptation.
Kouw, W. M., & Loog, M. (2019) · Cited by 18
Randomization Tests for Peer Effects in Group Formation Experiments
Basse, G., Ding, P., Feller, A., & Toulis, P. (2024) · Econometrica · doi:10.3982/ecta20134 · Cited by 30
Legleye, S., Aubin, H., Falissard, B., Beck, F., & Spilka, S. (2020) · Addiction · doi:10.1111/add.15330 · Cited by 18
Assessing Sensitivity to Unconfoundedness: Estimation and Inference
Masten, M. A., Poirier, A., & Zhang, L. (2023) · Journal of Business and Economic Statistics · doi:10.1080/07350015.2023.2183212 · Cited by 24
Dhital, R. P., Ito, T., Kaneko, S., Komatsu, S., & Yoshida, Y. (2021) · Oxford Development Studies · doi:10.1080/13600818.2021.1965978 · Cited by 18
Metadata
- Authors
- Imbens, G. W., & Rubin, D. B.
- Affiliations
- Stanford University (US)
- Harvard University (US)
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2015-04-06
- OpenAlex
- W2263423262
- Cited by
- 4,210
- References
- 0
- Citations by year
- 2026: 415 · 2025: 533 · 2024: 521 · 2023: 470 · 2022: 466 · 2021: 476 · 2020: 395 · 2019: 346 · 2018: 238 · 2017: 184 · 2016: 119 · 2015: 30
- FWCI
- 47.73
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy of Biology and Scientific Explanation
- Keywords
- causal inference, potential outcomes, causal effects, randomized experiments, observational studies, matching, propensity score methods, instrumental variables, causal assumptions, social sciences, biomedical sciences
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