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“Interestingly, this score has a balancing property that states that if customers have the same propensity score, then the difference in their risk characteristics is independent of the assigned treatment, or 𝑇 𝑖 ⟂ 𝑿 𝑖 |𝜋(𝑡 𝑐 , 𝑿 𝑖 ) ∀𝑐 ∈ {1, … , 𝐶} (Guo & Fraser, 2009;Imbens, 2004;Rosenbaum, 2010).”
From Customer price sensitivities in competitive insurance markets (2022) · cites this paper as Rosenbaum, 2010
In the citing paper
“We recognize, of course, that quasi-experimental methods such as instrumental variables and regression discontinuity designs allow for causal conclusions to be drawn from observational snapshots when investigators make strong, explicit assumptions and articulate a credible identification strategy 27-30 .”
From Quantifying the prevalence and impact of overreaching causal claims in social science (2026) · cites this paper as [27]
Citations
Cites
The Bias Due to Incomplete Matching
Rosenbaum, P. R., & Rubin, D. B. (1985) · Biometrics · doi:10.2307/2530647 · Cited by 532
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Gail, M. H. (1972) · Annals of Internal Medicine · doi:10.7326/0003-4819-76-5-815 · Cited by 124
Causal Inference in Randomized Experiments
Rosenbaum, P. R. (2009) · Springer series in statistics · doi:10.1007/978-1-4419-1213-8_2 · Cited by 10
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Self-citationUncommon but Dramatic Responses to Treatment
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“Besides, the difference-in-means estimator is simpler and provides more transparent analysis for the treatment effects (Cox, 2007; Freedman, 2008; Rosenbaum, 2010).”
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“10, a commonly recommended threshold (Rosenbaum 2010).”
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“So robust/rank-based Mahalanobis distance was proposed as an alternative measure by replacing the covariates with their ranks and using an adjusted covariance matrix (Rosenbaum 2010).”
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“As an alternative, observational data on treatment decisions and outcomes might provide opportunities to evaluate new strategies without requiring the expenses and/or prolonged duration of randomized controlled trials (6).”
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Performance Assessment as an Application of Causal Inference
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“(2014) and Rosenbaum (2017), chapter 11), is defined by their backgrounds.”
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“Lower postmatching values of the measure of absolute standardized difference (results not presented) also indicate a reduction in imbalance (Rosenbaum 2010, pp. 187– 90).”
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“We borrow from the potential outcomes viewpoint (for an overview, see Imbens and Rubin (2015) or Rosenbaum (2009)) to make the above more precise.”
BackgroundTreatment effect quantiles in stratified randomized experiments and matched observational studies
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Assessment of heterogeneous treatment effect estimation accuracy via matching
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Some models and methods for the analysis of observational data
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Tesfaye, A., Hammond, J., Radeny, M., Recha, J. W., Nigussie, A., Ambaw, G., van Wijk, M. T., Tamene, L. D., Abera, W., Demeke, G., et al. (2023) · Cogent Social Sciences · doi:10.1080/23311886.2023.2273959 · Cited by 9
“Sensitivity analysis appraises how the conclusions of a study might be altered by hidden biases of various magnitudes (Rosenbaum, 2010).”
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Split-door criterion: Identification of causal effects through auxiliary outcomes
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“Correspondingly, sensitivity analyses designed for back-door-based methods [Harding, 2009; Rosenbaum, 2010; VanderWeele and Arah, 2011; Carnegie, Harada and Hill, 2016] can be readily adapted to analyzing split-door instances.”
MethodEnhancing (Publications on) Data Quality: Deeper Data Minding and Fuller Data Confession
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The line of fifths and the co-evolution of tonal pitch-classes
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“Asitis common in observational studies (Rosenbaum 2010), caution is thus warranted when one attempts to generalize any findings derived on the basis of this data set to the entire population of polyphonic Western compositions too readily.”
BackgroundXiao, Y., Yin, H., & Moon, J. J. (2022) · The Energy Journal · doi:10.5547/01956574.44.2.yxia · Cited by 9
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“According to Rosenbaum (2010) τATT can be expressed as: τATT = EP(X)|D= 1 [E[Y(1)|D= 1,P(X)]−E[Y(0|D. = 0,P (X)] (2) Where P(X) is the propensity score, that is, the probability of an individual to participate in the microcredit program given the observed characteristics.”
MethodUsing Differential Comparisons in Observational Studies
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Self-citationStructured Testing of 2×2 Factorial Effects: An Analytic Plan Requiring Fewer Observations
Small, D. S., Volpp, K. G. M., & Rosenbaum, P. R. (2011) · The American Statistician · doi:10.1198/tast.2011.10130 · Cited by 9
Self-citationPrecooked developer dashboards
Ivanov, V. V., Rogers, A., Succi, G., Yi, J., & Zorin, V. (2018) · ACM/IEEE International Conference on Software Engineering: Companion Proceedings (ICSE-Companion) · doi:10.1145/3183440.3195028 · Cited by 9
“to see in dashboards with an observational study [12], (2) providing a”
GIS for empirical research design: An illustration with georeferenced point data
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“In spatial contexts, this experimental approach is generally not feasible, so researchers need to rely on a quasi-experimental approach using observational data to approximate an experimental study [8].”
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“In addition to these graphic demonstrations of comparability, we conducted a formal test of covariate imbalance using the measure of absolute standardized difference in means (Rosenbaum, 2010).”
MethodEcton, W. G., Bennett, C., Nienhusser, H. K., Castillo‐Montoya, M., & Dougherty, S. M. (2021) · AERA Open · doi:10.1177/23328584211040485 · Cited by 9
“As an additional robustness check, we also employ a randomization inference (RI) process, in which we resample, or permute, the variable of interest (here, the interaction between treated programs of study during the treatment periods) 1,000 times to obtain a stronger estimate of the likelihood of finding significant…”
BackgroundMethodRejective Sampling, Rerandomization, and Regression Adjustment in Survey Experiments
Yang, Z., Qu, T., & Li, X. (2021) · Journal of the American Statistical Association · doi:10.1080/01621459.2021.1984926 · Cited by 9
“In general, rerandomization with the unadjusted estimator provides more transparent analysis and helps avoid data snooping (Cox 2007; Freedman 2008; Rosenbaum 2010; Lin 2013).”
BackgroundBenedetti, M. H., Lü, B., Kinnear, N., Li, L., Delgado, M. K., & Zhu, M. (2022) · Journal of Safety Research · doi:10.1016/j.jsr.2022.11.003 · Cited by 9
On the statistical role of inexact matching in observational studies
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“There are three key ingredients to perform a Fisher-style randomization-based test: a sharp null hypothesis, a randomized treatment assignment scheme, and a test statistic (Rosenbaum, 2002, 2010; Ding, Feller and Miratrix, 2016).”
MethodWhere to Cut the Long Tail? The Value of Carrying Inventory in Online Retail
Baldauf, C., Eng‐Larsson, F., & Isaksson, O. H. D. (2020) · Management Science · doi:10.1287/mnsc.2023.4777 · Cited by 9
Rosenbaum, P. R. (2015) · Biometrics · doi:10.1111/biom.12373 · Cited by 9
Self-citationReynolds, E. M. W., & Winters, M. S. (2016) · Research & Politics · doi:10.1177/2053168015626167 · Cited by 9
The Effect on Earnings of the Applied Baccalaureate Degree
Kaikkonen, D. A., & Quarles, C. L. (2018) · Community College Review · doi:10.1177/0091552118782619 · Cited by 9
“Following Rosenbaum (2010), we assume that the effects of these unmeasured traits on their probabilities of earning an AB degree are limited by the inequality: 1 1 1 Γ Γ≤ −( ) −( ) ≤ p p p p i i j j (8) Larger values of Γ imply a stronger effect of the unmeasured confounding variable.”
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DNN: A Two-Scale Distributional Tale of Heterogeneous Treatment Effect InferencePreprint
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Airpower and Coercion in Counterinsurgency Wars: Evidence from Afghanistan
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What You Can Learn from Wrong Causal Models
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Child labor and family structure: the role of divorce
de Mesquita, S. P., & Souza, W. P. S. D. F. (2018) · International Journal of Social Economics · doi:10.1108/ijse-07-2017-0287 · Cited by 8
Metadata
- Authors
- Rosenbaum, P. R.
- Affiliations
- University of Pennsylvania (US)
- Corresponding author
- Rosenbaum, Paul R.
- ORCID
- Rosenbaum, Paul R.
- Venue
- Springer Series in Statistics
- Publisher
- Springer New York
- Published
- 2010
- ISSN
- 0172-7397 (ISSN-L)
- OpenAlex
- W253646976
- Cited by
- 1,150
- References
- 12
- Citations by year
- 2026: 33 · 2025: 72 · 2024: 58 · 2023: 58 · 2022: 73 · 2021: 115 · 2020: 108 · 2019: 71 · 2018: 73 · 2017: 68 · 2016: 75 · 2015: 85 · 2014: 84 · 2013: 58 · 2012: 55
- FWCI
- 6.61
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- Locations
- Springer series in statistics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) (submittedVersion)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Social Sciences › Decision Sciences › Management Science and Operations Research › Optimal Experimental Design Methods
- Keywords
- observational studies, research design, causal inference, statistical inference, confounding
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 ›
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