A review of causal estimation of effects in mediation analyses
Abstract
We describe causal mediation methods for analysing the mechanistic factors through which interventions act on outcomes. A number of different mediation approaches have been presented in the biomedical, social science and statistical literature with an emphasis on different aspects of mediation. We review the different sets of assumptions that allow identification and estimation of effects in the simple case of a single intervention, a temporally subsequent mediator and outcome. These assumptions include various no confounding assumptions including sequential ignorability assumptions and also interaction assumptions involving the treatment and mediator. The understanding of such assumptions is crucial since some can be assessed under certain conditions (e.g. treatment–mediator interactions), whereas others cannot (sequential ignorability). These issues become more complex with multiple mediators and longitudinal outcomes. In addressing these assumptions, we review several causal approaches to mediation analyses.
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MBIs, compared to active controls, were more effective in enhancing state and trait attentional skills, executive functioning, and emotional clarity.
“evidence suggesting that MBIs, compared to active controls, were more effective in enhancing state and trait attentional skills [91], executive functioning [92], and emotional clarity [93].”
Cites
Baron, R. M., & Kenny, D. A. (1986) · Journal of Personality and Social Psychology · doi:10.1037//0022-3514.51.6.1173 · Cited by 91,542 · see citing works
Baron, R. M., & Kenny, D. A. (1986) · Journal of Personality and Social Psychology · doi:10.1037/0022-3514.51.6.1173 · Cited by 91,532 · see citing works
Estimating causal effects of treatments in randomized and nonrandomized studies
Rubin, D. B. (1974) · Journal of Educational Psychology · doi:10.1037/h0037350 · Cited by 9,436 · see citing works
A comparison of methods to test mediation and other intervening variable effects
MacKinnon, D. P., Lockwood, C. M., Hoffman, J. M., West, S. G., & Sheets, V. (2002) · Psychological Methods · doi:10.1037/1082-989x.7.1.83 · Cited by 9,406 · see citing works
Statistics and Causal Inference
Holland, P. W. (1986) · Journal of the American Statistical Association · doi:10.1080/01621459.1986.10478354 · Cited by 5,293 · see citing works
Models for Longitudinal Data: A Generalized Estimating Equation Approach
Zeger, S. L., Liang, K., & Albert, P. S. (1988) · Biometrics · doi:10.2307/2531734 · Cited by 4,505 · see citing works
Identification of Causal Effects Using Instrumental Variables
Angrist, J. D., Imbens, G. W., & Rubin, D. B. (1996) · Journal of the American Statistical Association · doi:10.1080/01621459.1996.10476902 · Cited by 4,230 · see citing works
Cole, D. A., & Maxwell, S. E. (2003) · Journal of Abnormal Psychology · doi:10.1037/0021-843x.112.4.558 · Cited by 3,605 · see citing works
Mediators and Moderators of Treatment Effects in Randomized Clinical Trials
Kraemer, H. C., Wilson, G. T., Fairburn, C. G., & Agras, W. S. (2002) · Archives of General Psychiatry · doi:10.1001/archpsyc.59.10.877 · Cited by 2,562 · cited 6× · see citing works
“Robins(5) referred to the non-parametric identifiability conditions (11) and (16) as the NPSE model.”
BackgroundMethodInfluentialMediators and Mechanisms of Change in Psychotherapy Research
Kazdin, A. E. (2007) · Annual Review of Clinical Psychology · doi:10.1146/annurev.clinpsy.3.022806.091432 · Cited by 2,504 · see citing works
Process Analysis: Estimating Mediation in Treatment Evaluations
Judd, C. M., & Kenny, D. A. (1981) · Evaluation Review · doi:10.1177/0193841x8100500502 · Cited by 2,442 · see citing works
Estimating Mediated Effects in Prevention Studies
MacKinnon, D. P., & Dwyer, J. H. (1993) · Evaluation Review · doi:10.1177/0193841x9301700202 · Cited by 1,936 · see citing works
Identifiability and exchangeability for direct and indirect effects
Robins, J. M., & Greenland, S. (1992) · Epidemiology · doi:10.1097/00001648-199203000-00013 · Cited by 1,793 · see citing works
Kraemer, H. C., Stice, E., Kazdin, A., Offord, D., & Kupfer, D. (2001) · American Journal of Psychiatry · doi:10.1176/appi.ajp.158.6.848 · Cited by 1,712 · see citing works
Identification, Inference and Sensitivity Analysis for Causal Mediation Effects
Imai, K., Keele, L., & Yamamoto, T. (2010) · Statistical Science · doi:10.1214/10-sts321 · Cited by 1,628 · see citing works
On the Application of Probability Theory to Agricultural Experiments. Essay on Principles. Section 9
Neyman, J., Dabrowska, D. M., & Speed, T. P. (1990) · Statistical Science · doi:10.1214/ss/1177012031 · Cited by 1,616 · see citing works
Principal Stratification in Causal Inference
Frangakis, C., & Rubin, D. B. (2002) · Biometrics · doi:10.1111/j.0006-341x.2002.00021.x · Cited by 1,496 · see citing works
Multilevel Modeling of Individual and Group Level Mediated Effects
Krull, J. L., & MacKinnon, D. P. (2001) · Multivariate Behavioral Research · doi:10.1207/s15327906mbr3602_06 · Cited by 1,325 · see citing works
Cognitive Therapy for the Prevention of Suicide Attempts: A Randomized Controlled Trial
Brown, G. K., Ten Have, T., Henriques, G. R., Xie, S. X., Hollander, J. E., & Beck, A. T. (2005) · JAMA · doi:10.1001/jama.294.5.563 · Cited by 1,045 · see citing works
Bruce, M. L., Ten Have, T. R., Reynolds III, C. F., Katz, I. I., Schulberg, H. C., Mulsant, B. H., Brown, G. K., McAvay, G. J., Pearson, J. L., & Alexopoulos, G. S. (2004) · JAMA · doi:10.1001/jama.291.9.1081 · Cited by 963 · see citing works
Instruments for Causal Inference: An Epidemiologist's Dream?
Hernán, M. A., & Robins, J. M. (2006) · Epidemiology · doi:10.1097/01.ede.0000222409.00878.37 · Cited by 961 · see citing works
Identification, Inference, and Sensitivity Analysis for Causal Mediation Effects
Imai, K., & Keele, L. J. (2008) · Cited by 887 · see citing works
Conceptual issues concerning mediation, interventions and composition
VanderWeele, T. J., & Vansteelandt, S. (2009) · Statistics and Its Interface · doi:10.4310/sii.2009.v2.n4.a7 · Cited by 731 · see citing works
Lower level mediation in multilevel models.
Kenny, D. A., Korchmaros, J. D., & Bolger, N. (2003) · Psychological Methods · doi:10.1037/1082-989x.8.2.115 · Cited by 687 · see citing works
Gail, M. H., Wieand, S., & Piantadosi, S. (1984) · Biometrika · doi:10.1093/biomet/71.3.431 · Cited by 683 · see citing works
Bootstrap Tests for Distributional Treatment Effects in Instrumental Variable Models
Abadie, A. (2002) · Journal of the American Statistical Association · doi:10.1198/016214502753479419 · Cited by 660 · see citing works
Marginal Structural Models for the Estimation of Direct and Indirect Effects
VanderWeele, T. J. (2009) · Epidemiology · doi:10.1097/ede.0b013e31818f69ce · Cited by 583 · see citing works
Taking Account of Time Lags in Causal Models
Gollob, H. F., & Reichardt, C. S. (1987) · Child Development · doi:10.2307/1130293 · Cited by 572 · see citing works
Correcting for non-compliance in randomized trials using structural nested mean models
Robins, J. M. (1994) · Communication in Statistics- Theory and Methods · doi:10.1080/03610929408831393 · Cited by 534 · see citing works
Statistics and Causal Inference: Comment: Which Ifs Have Causal Answers
Rubin, D. B. (1986) · Journal of the American Statistical Association · doi:10.2307/2289065 · Cited by 517 · see citing works
Sobel, M. E. (2006) · Journal of the American Statistical Association · doi:10.1198/016214506000000636 · Cited by 468 · see citing works
Proceedings of the Seventeenth Conference on Uncertainty in Artificial Intelligence (2001)Preprint
Breese, J. S., & Koller, D. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1301.4607 · Cited by 435 · see citing works
Multilevel Mediation Modeling in Group-Based Intervention Studies
Krull, J. L., & MacKinnon, D. P. (1999) · Evaluation Review · doi:10.1177/0193841x9902300404 · Cited by 419 · see citing works
Bayesian inference for causal effects in randomized experiments with noncompliance
Imbens, G. W., & Rubin, D. B. (1997) · The Annals of Statistics · doi:10.1214/aos/1034276631 · Cited by 382 · see citing works
Assessing the effect of an influenza vaccine in an encouragement design
Hirano, K., Imbens, G. W., Rubin, D. B., & Zhou, X. (2000) · Biostatistics · doi:10.1093/biostatistics/1.1.69 · Cited by 341 · see citing works
Robins, J. M., Blevins, D., Ritter, G. A., & Wulfsohn, M. S. (1992) · Epidemiology · doi:10.1097/00001648-199207000-00007 · Cited by 328 · see citing works
Direct and Indirect Causal Effects via Potential Outcomes*
Rubin, D. B. (2004) · Scandinavian Journal of Statistics · doi:10.1111/j.1467-9469.2004.02-123.x · Cited by 324 · see citing works
Theory as mediating variables: Why aren't community interventions working as desired?
Baranowski, T., Lin, L. S., Wetter, D. W., Resnicow, K., & Hearn, M. D. (1997) · Annals of Epidemiology · doi:10.1016/s1047-2797(97)80011-7 · Cited by 283 · see citing works
Semantics of causal DAG models and the identification of direct and indirect effects
Robins, J. M. (2003) · doi:10.1093/oso/9780198510550.003.0007 · Cited by 243 · see citing works
Related Causal Frameworks for Surrogate Outcomes
Joffe, M. M., & Greene, T. (2008) · Biometrics · doi:10.1111/j.1541-0420.2008.01106.x · Cited by 200 · see citing works
Self-citationInterpreting and estimating indirect effects assuming time lags really matter.
Gollob, H. F., & Reichardt, C. S. (1991) · Best methods for the analysis of change: Recent advances, unanswered questions, future directions. · doi:10.1037/10099-015 · Cited by 198 · see citing works
Estimating Direct Effects in Cohort and Case–Control Studies
Vansteelandt, S. (2009) · Epidemiology · doi:10.1097/ede.0b013e3181b6f4c9 · Cited by 159 · see citing works
Causal Inference with Generalized Structural Mean Models
Vansteelandt, S., & Goetghebeur, E. J. T. (2003) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1046/j.1369-7412.2003.00417.x · Cited by 159 · see citing works
Causal Mediation Analyses with Rank Preserving Models
Have, T. R. T., Joffe, M. M., Lynch, K. G., Brown, G. K., Maisto, S. A., & Beck, A. T. (2007) · Biometrics · doi:10.1111/j.1541-0420.2007.00766.x · Cited by 157 · see citing works
Self-citationDunn, G., & Bentall, R. P. (2007) · Statistics in Medicine · doi:10.1002/sim.2891 · Cited by 118 · see citing works
Robins, J. M. (2004) · Biometrika · doi:10.1093/biomet/91.4.763 · Cited by 113 · see citing works
Identifying Direct and Indirect Effects in a Non-Counterfactual Framework
Geneletti, S. (2007) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.1467-9868.2007.00584.x · Cited by 108 · see citing works
van der Laan, M. J., & Petersen, M. L. (2008) · The International Journal of Biostatistics · doi:10.2202/1557-4679.1064 · Cited by 100 · see citing works
“Proportion explained”: a causal interpretation for standard measures of indirect effect?
Hafeman, D. M. (2009) · American Journal of Epidemiology · doi:10.1093/aje/kwp283 · Cited by 98 · see citing works
Mediation analysis with principal stratification
Gallop, R., Small, D. S., Lin, J. Y.-C., Elliott, M. R., Joffe, M. M., & Have, T. R. T. (2009) · Statistics in Medicine · doi:10.1002/sim.3533 · Cited by 97 · see citing works
Self-citationFrangakis, C. (2002) · Biostatistics · doi:10.1093/biostatistics/3.2.147 · Cited by 94 · see citing works
Simple relations between principal stratification and direct and indirect effects
VanderWeele, T. J. (2008) · Statistics & Probability Letters · doi:10.1016/j.spl.2008.05.029 · Cited by 92 · see citing works
Statistical assessment of mediational effects for logistic mediational models
Huang, B., Sivaganesan, S., Succop, P., & Goodman, E. (2004) · Statistics in Medicine · doi:10.1002/sim.1847 · Cited by 89 · see citing works
Analyzing a randomized trial on breast self-examination with noncompliance and missing outcomes
Mealli, F. (2004) · Biostatistics · doi:10.1093/biostatistics/5.2.207 · Cited by 85 · see citing works
Joffe, M. M., Small, D. S., & Hsu, C. (2007) · Cited by 71 · see citing works
Self-citationDefining and Estimating Intervention Effects for Groups that will Develop an Auxiliary Outcome
Joffe, M. M., Small, D., & Hsu, C.-Y. (2007) · Statistical Science · doi:10.1214/088342306000000655 · Cited by 66 · see citing works
Self-citationAlternative Assumptions for the Identification of Direct and Indirect Effects
Hafeman, D., & VanderWeele, T. J. (2010) · Epidemiology · doi:10.1097/ede.0b013e3181c311b2 · Cited by 62 · see citing works
Fischer-Lapp, K., & Goetghebeur, E. J. T. (1999) · Controlled Clinical Trials · doi:10.1016/s0197-2456(99)00027-6 · Cited by 57 · see citing works
Frangakis, C., Brookmeyer, R., Varadhan, R., Safaeian, M., Vlahov, D., & Strathdee, S. A. (2004) · Journal of the American Statistical Association · doi:10.1198/016214504000000232 · Cited by 55 · see citing works
Causal Models for Randomized Physician Encouragement Trials in Treating Primary Care Depression
Have, T. R. T., Elliott, M. R., Joffe, M. M., Zanutto, E. L., & Datto, C. J. (2004) · Journal of the American Statistical Association · doi:10.1198/016214504000000034 · Cited by 53 · see citing works
Self-citationCausal logistic models for non‐compliance under randomized treatment with univariate binary response
Have, T. R. T., Joffe, M. M., & Cary, M. S. (2003) · Statistics in Medicine · doi:10.1002/sim.1401 · Cited by 47 · see citing works
Self-citationJoffe, M. M., Hoover, D. R., Jacobson, L. P., Kingsley, L., Chmiel, J. S., Visscher, B. R., & Robins, J. M. (1998) · Statistics in Medicine · doi:10.1002/(sici)1097-0258(19980530)17:10 · Cited by 34 · see citing works
Self-citationVansteelandt, S. (2010) · Biometrika · doi:10.1093/biomet/asq053 · Cited by 21 · see citing works
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Methods for dealing with time‐dependent confounding
Daniel, R., Cousens, S. N., Stavola, B. L. D., Kenward, M. G., & Sterne, J. A. C. (2012) · Statistics in Medicine · doi:10.1002/sim.5686 · Cited by 378 · see citing works
Causal Mediation Analysis with Multiple Mediators
Daniel, R., Stavola, B. L. D., Cousens, S. N., & Vansteelandt, S. (2014) · Biometrics · doi:10.1111/biom.12248 · Cited by 319 · see citing works
Unstuck in time: episodic future thinking reduces delay discounting and cigarette smoking
Stein, J. S., Wilson, A. G., Koffarnus, M. N., Daniel, T. O., Epstein, L. H., & Bickel, W. K. (2016) · Psychopharmacology · doi:10.1007/s00213-016-4410-y · Cited by 267 · see citing works
Meaningful Mediation Analysis: Plausible Causal Inference and Informative Communication
Pieters, R. G. M. (2017) · Journal of Consumer Research · doi:10.1093/jcr/ucx081 · Cited by 270 · see citing works
A Three-way Decomposition of a Total Effect into Direct, Indirect, and Interactive Effects
VanderWeele, T. J. (2013) · Epidemiology · doi:10.1097/ede.0b013e318281a64e · Cited by 235 · see citing works
Benova, L., Campbell, O. M., & Ploubidis, G. B. (2015) · BMC Health Services Research · doi:10.1186/s12913-014-0652-8 · Cited by 239 · see citing works
Estimating and testing high-dimensional mediation effects in epigenetic studies
Zhang, H., Zheng, Y., Zhang, Z., Gao, T., Joyce, B. T., Yoon, G., Zhang, W., Schwartz, J. D., Just, A. C., Colicino, E., et al. (2016) · Bioinformatics · doi:10.1093/bioinformatics/btw351 · Cited by 214 · see citing works
Stavola, B. L. D., Daniel, R., Ploubidis, G. B., & Micali, N. (2014) · American Journal of Epidemiology · doi:10.1093/aje/kwu239 · Cited by 147 · see citing works
Asarnow, J. R., Berk, M. S., Bedics, J. D., Adrian, M. C., Gallop, R., Cohen, J. A., Korslund, K. E., Hughes, J. L., Avina, C., Linehan, M. M., et al. (2021) · Journal of the American Academy of Child & Adolescent Psychiatry · doi:10.1016/j.jaac.2021.01.016 · Cited by 125 · see citing works
VanderWeele, T. J., Valeri, L., & Ogburn, E. L. (2012) · Epidemiology · doi:10.1097/ede.0b013e318258f5e4 · Cited by 123 · see citing works
Dunn, G., Emsley, R., Liu, H., Landau, S., Green, J., White, I. R., & Pickles, A. R. (2015) · Health Technology Assessment · doi:10.3310/hta19930 · Cited by 122 · see citing works
Zeng, P., Shao, Z., & Zhou, X. (2021) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2021.05.042 · Cited by 97 · see citing works
Naimi, A. I., Kaufman, J. S., & MacLehose, R. F. (2014) · International Journal of Epidemiology · doi:10.1093/ije/dyu107 · Cited by 93 · see citing works
Stimpfel, A. W., Rosen, J. E., & McHugh, M. D. (2013) · JONA The Journal of Nursing Administration · doi:10.1097/nna.0000000000000015 · Cited by 85 · see citing works
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Song, Y., Zhou, X., Zhang, M., Zhao, W., Liu, Y., Kardia, S. L. R., Roux, A. V. D., Needham, B. L., Smith, J. A., & Mukherjee, B. (2019) · Biometrics · doi:10.1111/biom.13189 · Cited by 74 · see citing works
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Mayer, A., Thoemmes, F. J., Rose, N., Steyer, R., & West, S. G. (2014) · Multivariate Behavioral Research · doi:10.1080/00273171.2014.931797 · Cited by 76 · see citing works
Usami, S., Todo, N., & Murayama, K. (2019) · PLoS ONE · doi:10.1371/journal.pone.0209133 · Cited by 72 · see citing works
Nguyen, T. Q., Webb-Vargas, Y., Koning, I. M., & Stuart, E. A. (2015) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2015.1062730 · Cited by 64 · see citing works
Gast, K. B., den Heijer, M., Smit, J. W. A., Widya, R. L., Lamb, H. J., Roos, A., Jukema, J. W., Rosendaal, F. R., & de Mutsert, R. (2015) · Atherosclerosis · doi:10.1016/j.atherosclerosis.2015.05.026 · Cited by 50 · see citing works
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Psychological distress in mid-life: evidence from the 1958 and 1970 British birth cohorts
Ploubidis, G. B., Sullivan, A., Brown, M., & Goodman, A. T. (2016) · Psychological Medicine · doi:10.1017/s0033291716002464 · Cited by 44 · see citing works
Ploubidis, G. B., Beňová, L., Grundy, E. M. D., Laydon, D. J., & Stavola, B. L. D. (2014) · Social Science & Medicine · doi:10.1016/j.socscimed.2014.02.018 · Cited by 46 · see citing works
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Forastiere, L., Mattei, A., & Ding, P. (2018) · Biometrika · doi:10.1093/biomet/asy053 · Cited by 43 · see citing works
Forastiere, L., Mealli, F., & VanderWeele, T. J. (2015) · Journal of the American Statistical Association · doi:10.1080/01621459.2015.1125788 · Cited by 40 · see citing works
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Sampson, J. N., Boca, S. M., Moore, S. C., & Heller, R. (2018) · Bioinformatics · doi:10.1093/bioinformatics/bty064 · Cited by 39 · see citing works
Seixas, A. A., Trinh‐Shevrin, C., Ravenell, J. E., Ogedegbe, G. G., Zizi, F., & Jean‐Louis, G. (2018) · Trials · doi:10.1186/s13063-018-2835-9 · Cited by 36 · see citing works
Mediation effect selection in high‐dimensional and compositional microbiome data
Zhang, H., Chen, J., Feng, Y., Wang, C., Li, H., & Liu, L. (2020) · Statistics in Medicine · doi:10.1002/sim.8808 · Cited by 35 · see citing works
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Mediation Analysis With Multiple Versions of the Mediator
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The role of insulin resistance in the association between body fat and autonomic function
Hillebrand, S., Swenne, C. A., Gast, K. B., Maan, A. C., le Cessie, S., Jukema, J. W., Rosendaal, F. R., den Heijer, M., & de Mutsert, R. (2014) · Nutrition Metabolism and Cardiovascular Diseases · doi:10.1016/j.numecd.2014.07.009 · Cited by 32 · see citing works
Lindmark, A., de Luna, X., & Eriksson, M. (2018) · Statistics in Medicine · doi:10.1002/sim.7620 · Cited by 31 · see citing works
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Гу, Ф., Preacher, K. J., & Ferrer, E. E. (2014) · Journal of Educational and Behavioral Statistics · doi:10.3102/1076998614524823 · Cited by 30 · see citing works
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Martin, W. (2013) · Preventive Veterinary Medicine · doi:10.1016/j.prevetmed.2013.09.006 · Cited by 28 · see citing works
Dunn, G., Emsley, R., Liu, H., & Landau, S. (2013) · Clinical Trials · doi:10.1177/1740774513499651 · Cited by 28 · see citing works
Guo, X., Li, R., Liu, J., & Zeng, M. (2022) · Journal of Econometrics · doi:10.1016/j.jeconom.2022.03.001 · Cited by 24 · see citing works
Bakhtiyari, M., Schmidt, N., Hadaegh, F., Khalili, D., Mansournia, N., Asgari, S., & Mansournia, M. A. (2018) · European Journal of Preventive Cardiology · doi:10.1177/2047487318780030 · Cited by 21 · see citing works
Interact with the Explanations: Causal Debiased Explainable Recommendation System
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Jaccard, J. J., & Bo, A. (2018) · Journal of the Society for Social Work and Research · doi:10.1086/701388 · Cited by 20 · see citing works
Kisbu‐Sakarya, Y., MacKinnon, D. P., Valente, M. J., & Çetinkaya, E. (2020) · Frontiers in Psychology · doi:10.3389/fpsyg.2020.02067 · Cited by 19 · see citing works
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Lepage, B., Dedieu, D., Savy, N., & Lang, T. (2012) · Statistical Methods in Medical Research · doi:10.1177/0962280212461194 · Cited by 16 · see citing works
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Lynch, B. M., Mahmood, S., & Boyle, T. (2017) · Springer series on epidemiology and public health · doi:10.1007/978-3-319-61552-3_10 · 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
Taguri, M., & Chiba, Y. (2014) · Statistics in Medicine · doi:10.1002/sim.6329 · Cited by 15 · see citing works
Zhang, Z., Akinci, B., & Qian, S. (2023) · Accident Analysis & Prevention · doi:10.1016/j.aap.2023.106966 · Cited by 14 · see citing works
Causation and causal inference for genetic effects
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Naimi, A. I. (2015) · American Journal of Epidemiology · doi:10.1093/aje/kwv060 · Cited by 14 · see citing works
Perceived authenticity as a vicarious justification for prejudice
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Park, S.-J., & Yi, Y. (2025) · Journal of Hospitality and Tourism Management · doi:10.1016/j.jhtm.2025.01.008 · Cited by 12 · see citing works
Tello-Velásquez, J. R., Díaz-Llanes, B. E., Mezones‐Holguín, E., Rodriguez-Morales, A. J., Huamaní, C., Hernández, A. V., & Arévalo, J. (2015) · Cadernos de Saúde Pública · doi:10.1590/0102-311x00010014 · Cited by 12 · see citing works
Mediation analysis in genome-wide association studies: current perspectives
Lutz, S. M., & Hokanson, J. E. (2015) · Open Access Bioinformatics · doi:10.2147/oab.s63643 · Cited by 11 · see citing works
Mediation Analysis: Inferring Causal Processes in Marketing from Experiments
Pieters, R. G. M. (2017) · International series in quantitative marketing · doi:10.1007/978-3-319-53469-5_8 · Cited by 11 · see citing works
Wen, J., Guo, T., Wu, J., Bai, X., Zhou, C., Wu, H., Liu, X., Chen, J., Cao, Z., Gu, L., et al. (2022) · Journal of Parkinson s Disease · doi:10.3233/jpd-223372 · Cited by 10 · see citing works
Jones, J. D., Gallop, R., Gillham, J. E., Mufson, L. H., Farley, A. M., Kanine, R. M., & Young, J. F. (2019) · Journal of Clinical Child & Adolescent Psychology · doi:10.1080/15374416.2019.1644648 · Cited by 17 · see citing works
The West Philadelphia asthma care implementation study (NHLBI# U01HL138687)
Bryant-Stephens, T. C., Williams, Y. S., Kanagasundaram, J., Apter, A. J., Kenyon, C. C., & Justine Shults, A. (2021) · Contemporary Clinical Trials Communications · doi:10.1016/j.conctc.2021.100864 · Cited by 10 · see citing works
A Review of High-Dimensional Mediation Analyses in DNA Methylation Studies
Zhang, H., Hou, L., & Liu, L. (2021) · Methods in molecular biology · doi:10.1007/978-1-0716-1994-0_10 · Cited by 10 · see citing works
McCandless, L. C., Stewart, L. C., Rempel, E., Venners, S. A., & Somers, J. M. (2014) · Journal of Epidemiology & Community Health · doi:10.1136/jech-2013-203705 · Cited by 10 · see citing works
Trends in Mediation Analysis in Nursing Research: Improving Current Practice
Hertzog, M. A. (2017) · Western Journal of Nursing Research · doi:10.1177/0193945916687782 · Cited by 10 · see citing works
Detilleux, J., Reginster, J., Chines, A. A., & Bruyère, O. (2012) · Statistical Methods in Medical Research · doi:10.1177/0962280212456655 · Cited by 10 · see citing works
Causal Models for Mediation Analysis: An Introduction to Structural Mean Models
Zheng, C., Atkins, D. C., Zhou, X., & Rhew, I. C. (2015) · Multivariate Behavioral Research · doi:10.1080/00273171.2015.1070707 · Cited by 9 · see citing works
Collado, A., Hicks, L. M., Hubley, S. H., Levy, J., McKimmy, C., Genovez, M., Gallop, R., Bauer, D., Aranda, E., & Dimidjian, S. (2024) · Behavior Therapy · doi:10.1016/j.beth.2024.11.003 · Cited by 8 · see citing works
Small, D. S., Joffe, M. M., Lynch, K. G., Roy, J., & Localio, A. R. (2012) · Statistics in Medicine · doi:10.1002/sim.5708 · Cited by 8 · see citing works
Self-citationChild welfare and the challenge of causal inference
Foster, E. M., & McCombs-Thornton, K. L. (2011) · Children and Youth Services Review · doi:10.1016/j.childyouth.2011.03.012 · Cited by 8 · see citing works
Stimpfel, A. W., Rosen, J. E., & McHugh, M. D. (2015) · JONA The Journal of Nursing Administration · doi:10.1097/nna.0000000000000253 · Cited by 8 · see citing works
Evaluation of Potential Mediators in Randomised Trials of Complex Interventions (Psychotherapies)
Emsley, R., & Dunn, G. (2012) · Wiley series in probability and statistics · doi:10.1002/9781119945710.ch20 · Cited by 8 · see citing works
Foster, E. M. (2013) · Journal of Consulting and Clinical Psychology · doi:10.1037/a0031980 · Cited by 7 · see citing works
Liu, W., Haran, J. P., Ash, A. S., Allison, J. J., Ye, S., Tjia, J., Bucci, V., & Zhang, B. (2019) · Current Bioinformatics · doi:10.2174/1574893614666191115123219 · Cited by 7 · see citing works
Links between causal effects and causal association for surrogacy evaluation in a gaussian setting
Conlon, A. S. C., Taylor, J. M. G., Li, Y., Diaz‐Ordaz, K., & Elliott, M. R. (2017) · Statistics in Medicine · doi:10.1002/sim.7430 · Cited by 7 · see citing works
Inference for environmental intervention studies using principal stratification
Hackstadt, A. J., Matsui, E. C., Williams, D. L., Diette, G. B., Breysse, P. N., Butz, A. M., & Peng, R. D. (2014) · Statistics in Medicine · doi:10.1002/sim.6291 · Cited by 7 · see citing works
Multilevel moderated mediation model with ordinal outcome
Rusá, Š., Komárek, A., Lesaffre, E. M. E. H., & Bruyneel, L. (2018) · Statistics in Medicine · doi:10.1002/sim.7605 · Cited by 6 · see citing works
A Comparison of Potential Outcome Approaches for Assessing Causal Mediation
Coffman, D. L., MacKinnon, D. P., Zhu, Y., & Ghosh, D. (2016) · ICSA book series in statistics · doi:10.1007/978-3-319-41259-7_14 · Cited by 5 · see citing works
Infusion of statistical science in comparative effectiveness research
Morton, S. C., & Ellenberg, J. H. (2012) · Clinical Trials · doi:10.1177/1740774511433044 · Cited by 5 · see citing works
Zhang, Q., & Wang, Q. (2024) · Structural Equation Modeling A Multidisciplinary Journal · doi:10.1080/10705511.2023.2270167 · Cited by 4 · see citing works
Zainal, N. H., & Newman, M. G. (2024) · European Psychiatry · doi:10.1192/j.eurpsy.2024.1750 · Cited by 3 · see citing works
“For multilevel mediation analysis, we used a causal mediation model called the marginal mediation model [57].”
MethodBayesian tree-based heterogeneous mediation analysis with a time-to-event outcome
Sun, R., & Song, X. (2023) · Statistics and Computing · doi:10.1007/s11222-023-10340-1 · Cited by 3 · see citing works
Sequential Ignorability and Dismissible Treatment Components to Identify Mediation Effects
Deng, Y., Wei, H., Xiao, X., Zhang, Y., & Huang, Y. (2024) · Mathematics · doi:10.3390/math12152332 · Cited by 2 · see citing works
Lulaj, E. (2026) · Social Responsibility Journal · doi:10.1108/srj-01-2026-0003 · Cited by 2 · see citing works
Sedentary Behaviour and Cancer
Swain, C. T. V., Boyle, T., Mahmood, S., & Lynch, B. M. (2023) · Springer series on epidemiology and public health · doi:10.1007/978-3-031-41881-5_9 · Cited by 2 · see citing works
A Bayesian high-dimensional mediation analysis for multilevel genome-wide epigenetic data
Qiao, X., Ngo, D., Straight, B., Needham, B. L., Hilton, C. E., & Naugle, A. E. (2024) · Journal of Applied Statistics · doi:10.1080/02664763.2024.2367148 · Cited by 2 · see citing works
Hu, D., Shen, K., Guo, Y., Bao, X., Dong, N., & Chen, S. (2024) · Leukemia & lymphoma/Leukemia and lymphoma · doi:10.1080/10428194.2024.2387730 · Cited by 2 · see citing works
Causal definitions versus casual estimation: Reply to Valente et al. (2022).
Brandt, H. (2024) · Psychological Methods · doi:10.1037/met0000544 · Cited by 2 · see citing works
CausalPrism: A visual analytics approach for subgroup-based causal heterogeneity exploration
Liu, X., Zhou, J., Wang, X., Kam-Kwai, W., Zhang, W., Zhang, J., Zhu, M., & Chen, W. (2025) · Computers & Graphics · doi:10.1016/j.cag.2025.104356 · Cited by 2 · see citing works
Untangling the Causality Knot: Another Tool for Clinical Researchers
Lix, L. M., & Leslie, W. D. (2014) · Journal of Bone and Mineral Research · doi:10.1002/jbmr.2369 · Cited by 2 · see citing works
Stein-like estimators for causal mediation analysis in randomized trials
Ginestet, C. E., Emsley, R., & Landau, S. (2019) · Statistical Methods in Medical Research · doi:10.1177/0962280219852388 · Cited by 2 · see citing works
Noirjean, S., Mariani, M., Mattei, A., & Mealli, F. (2024) · Journal of Educational and Behavioral Statistics · doi:10.3102/10769986241254351 · Cited by 2 · see citing works
Mediation Modeling in Randomized Trials with Non-normal Outcome Variables
Cheng, J., & Gansky, S. A. (2018) · ICSA book series in statistics · doi:10.1007/978-981-10-7820-0_10 · Cited by 1 · see citing works
Direct, indirect, and interaction effects based on principal stratification with a binary mediator
Lee, M. (2024) · Journal of Causal Inference · doi:10.1515/jci-2023-0025 · Cited by 1 · see citing works
Wen, J., Guo, T., Xu, J., Duanmu, X., Tan, S., Zhang, M., Xu, X., & Guan, X. (2024) · Brain Research Bulletin · doi:10.1016/j.brainresbull.2024.111174 · Cited by 2 · see citing works
Ploubidis, G. B., Beňová, L., Stavola, B. L. D., & Grundy, E. M. D. (2019) · SpringerBriefs in population studies · doi:10.1007/978-94-024-1707-4_2 · Cited by 1 · see citing works
Current Methods in Mediation Analysis
Stavola, B. L. D., & Daniel, R. (2014)
Schooling, C. M., Freeman, G., & Cowling, B. J. (2013) · American Journal of Epidemiology · doi:10.1093/aje/kwt307
Detilleux, J., Theron, L., Duprez, J.-N., Reding, E., Moula, N., Detilleux, M., Bertozzi, C., Hanzen, C., & Mainil, J. G. (2016) · animal · doi:10.1017/s1751731116000227
Path-Free Decomposition for Direct, Indirect and Interaction Effects in Mediation AnalysisPreprint
Lee, M. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2110.06504
Causal inference with a mediated proportional hazards regression model
Zeng, H., Chinchilli, V. M., & Ghahraman, N. (2021) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610918.2021.2014887
Marshall Joffe’s Contributions to Causal Inference, Biostatistics, and Epidemiology
Isenberg, D., Kennedy, E. H., Landis, J. R., Mitra, N., Robins, J. M., Roy, J., Stephens‐Shields, A. J., Yang, W. P., & Small, D. S. (2023) · American Journal of Epidemiology · doi:10.1093/aje/kwad217
Yang, Z., & Nanda, S. (2025) · Contemporary Clinical Trials · doi:10.1016/j.cct.2025.107982
- Authors
- Ten Have, T. R., & Joffe, M. M.
- Affiliations
- Department of Biostatistics and Epidemiology, University of Pennsylvania School of Medicine, Philadelphia, PA 19104, USA.
- University of Pennsylvania (US)
- Venue
- Statistical Methods in Medical Research
- Publisher
- SAGE Publications
- Published
- 2010-12-16
- Volume
- 21
- Issue
- 1
- Pages
- 77-107
- ISSN
- 0962-2802 (ISSN-L)
- 1477-0334
- OpenAlex
- W2013610310
- Cited by
- 103
- References
- 63
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 11 · 2023: 4 · 2022: 3 · 2021: 9 · 2020: 2 · 2019: 6 · 2018: 9 · 2017: 6 · 2016: 5 · 2015: 11 · 2014: 12 · 2013: 6 · 2012: 11
- FWCI
- 4.87
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Statistical Methods in Medical Research (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institute of Mental Health (R01MH078016, R01MH061892)
- National Cancer Institute (R01CA095415)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy and History of Science
- Keywords
- causal mediation analysis, mediating effect, sequential ignorability, multiple mediators, longitudinal outcomes, intervention mechanisms, causal effect estimation
- MeSH terms
- Suicide Prevention, Data Interpretation, Statistical, Humans, Suicide, Models, Statistical, Bias, Causality, Confounding Factors, Epidemiologic, Biomedical Research
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