Cluster randomized trials with treatment noncompliance.
Open accessAbstract
Cluster randomized trials (CRTs) have been widely used in field experiments treating a cluster of individuals as the unit of randomization. This study focused particularly on situations where CRTs are accompanied by a common complication, namely, treatment noncompliance or, more generally, intervention nonadherence. In CRTs, compliance may be related not only to individual characteristics but also to the environment of clusters individuals belong to. Therefore, analyses ignoring the connection between compliance and clustering may not provide valid results. Although randomized field experiments often suffer from both noncompliance and clustering of the data, these features have been studied as separate rather than concurrent problems. On the basis of Monte Carlo simulations, this study demonstrated how clustering and noncompliance may affect statistical inferences and how these two complications can be accounted for simultaneously. In particular, the effect of the intervention on individuals who not only were assigned to active intervention but also abided by this intervention assignment (complier average causal effect) was the focus. For estimation of intervention effects considering noncompliance and data clustering, an ML-EM estimation method was employed.
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?
CACE modeling is one analytic method for incomplete adoption.
“One analytical approach to accounting for incomplete adoption is to use Complier Average Causal Effect (commonly known as CACE) modeling (3, 9, 60).”
From An Overview of Research and Evaluation Designs for Dissemination and Implementation (2017) · cites this paper as [60]
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
Maximum Likelihood from Incomplete Data Via the <i>EM</i> Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444 · see citing works
(2005) · Springer eBooks · doi:10.1007/0-387-27255-0_9 · Cited by 20,333 · see citing works
Hierarchical Linear Models: Applications and Data Analysis Methods.
Longford, N. T., Bryk, A. S., & Raudenbush, S. W. (1993) · Contemporary Sociology A Journal of Reviews · doi:10.2307/2075823 · Cited by 18,768 · see citing works
Statistical Analysis With Missing Data
Lahiff, M., Little, R. J. A., & Rubin, D. B. (1989) · Journal of the American Statistical Association · doi:10.2307/2289883 · Cited by 17,384 · see citing works
McLachlan, G., & Peel, D. (2000) · Wiley Series in Probability and Statistics · doi:10.1002/0471721182 · Cited by 10,991 · see citing works
Hapeman, D. E., & Agresti, A. (1991) · Technometrics · doi:10.1080/00401706.1991.10484817 · Cited by 9,406 · see citing works
Multilevel analysis : an introduction to basic and advanced multilevel modeling
Snijders, T. A. B., & Bosker, R. (1999) · Cited by 6,830 · see citing works
The EM Algorithm and Extensions
Kushary, D., McLachlan, G. J., & Krishnan, T. (1998) · Technometrics · doi:10.2307/1271189 · Cited by 5,419 · 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
Identification and estimation of local average treatment effects
Imbens, G. W., & Angrist, J. D. (1994) · Econometrica · doi:10.2307/2951620 · Cited by 4,101 · see citing works
Editorial Office (1997) · Obesity Surgery · doi:10.1381/096089297765555359 · Cited by 3,917 · see citing works
Statistical Analysis of Finite Mixture Distributions.
Lindsay, B. G., Titterington, D. M., Smith, A. F. M., & Makov, U. E. (1987) · Journal of the American Statistical Association · doi:10.2307/2289504 · Cited by 2,906 · see citing works
Identification and Estimation of Local Average Treatment Effects
Angrist, J. D., & Imbens, G. W. (1995) · National Bureau of Economic Research · doi:10.3386/t0118 · Cited by 2,898 · see citing works
A statistical model for the analysis of ordinal level dependent variables
McKelvey, R. D., & Zavoina, W. J. (1975) · Journal of Mathematical Sociology · doi:10.1080/0022250x.1975.9989847 · Cited by 2,636 · see citing works
Bayesian inference for causal effects: The role of randomization
Rubin, D. B. (1978) · The Annals of Statistics · doi:10.1214/aos/1176344064 · Cited by 2,503 · see citing works
Complex Sample Data in Structural Equation Modeling
Muthen, B. O., & Satorra, A. (1995) · Sociological Methodology · doi:10.2307/271070 · Cited by 1,586 · see citing works
Latent Variable Analysis: Growth Mixture Modeling and Related Techniques for Longitudinal Data
Muthén, B. (2004) · Sage eBooks · doi:10.4135/9781412986311.n19 · Cited by 1,541 · see citing works
Self-citationPrincipal 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
The SAGE Handbook of Quantitative Methodology for the Social Sciences
Kaplan, D. (2004) · doi:10.4135/9781412986311 · Cited by 1,454 · see citing works
Randomization Analysis of Experimental Data: The Fisher Randomization Test Comment
Rubin, D. B. (1980) · Journal of the American Statistical Association · doi:10.2307/2287653 · Cited by 1,368 · see citing works
Design and Analysis of Group-Randomized Trials
Murray, D. M. (2007) · doi:10.1093/oso/9780195120363.001.0001 · Cited by 1,114 · see citing works
Generalized Linear Models with Random Effects; a Gibbs Sampling Approach
Zeger, S. L., & Karim, M. R. (1991) · Journal of the American Statistical Association · doi:10.1080/01621459.1991.10475006 · Cited by 938 · see citing works
Multilevel Mixed Linear Model Analysis Using Iterative Generalized Least Squares
Goldstein, H. (1986) · Biometrika · doi:10.1093/biomet/73.1.43 · Cited by 798 · see citing works
Statistical Modelling Issues in School Effectiveness Studies
Aitkin, M. A., & Longford, N. T. (1986) · Journal of the Royal Statistical Society Series A (General) · doi:10.2307/2981882 · Cited by 789 · see citing works
Advances in Latent Variable Mixture Models
Hancock, G. R., & Samuelsen, K. M. (2007) · Cited by 763 · see citing works
Maximum Likelihood Algorithms for Generalized Linear Mixed Models
McCulloch, C. E. (1997) · Journal of the American Statistical Association · doi:10.1080/01621459.1997.10473613 · Cited by 762 · see citing works
Longford, N. T. (2011) · International Encyclopedia of Statistical Science · doi:10.1007/978-3-642-04898-2_471 · Cited by 751 · see citing works
Random-Effects Models for Serial Observations with Binary Response
Stiratelli, R. G., Laird, N. M., & Ware, J. H. (1984) · Biometrics · doi:10.2307/2531147 · Cited by 733 · see citing works
Donner, A. P., Birkett, N., & Buck, C. W. (1981) · American Journal of Epidemiology · doi:10.1093/oxfordjournals.aje.a113261 · Cited by 698 · see citing works
Rubin, D. B. (1990) · Statistical Science · doi:10.1214/ss/1177012032 · Cited by 665 · see citing works
Sociological Methodology, 1969
Keesling, W., & Borgatta, E. (1972) · American Educational Research Journal · doi:10.2307/1161695 · Cited by 643 · see citing works
Statistical analysis and optimal design for cluster randomized trials.
Raudenbush, S. W. (1997) · Psychological Methods · doi:10.1037/1082-989x.2.2.173 · Cited by 636 · see citing works
A Note on the Efficiency of Sandwich Covariance Matrix Estimation
Kauermann, G., & Carroll, R. J. (2001) · Journal of the American Statistical Association · doi:10.1198/016214501753382309 · Cited by 630 · see citing works
MTW, & Tanner, M. A. (1997) · Journal of the American Statistical Association · doi:10.2307/2965746 · Cited by 615 · see citing works
Statistical power and optimal design for multisite randomized trials.
Raudenbush, S. W., & Liu, X. (2000) · Psychological Methods · doi:10.1037/1082-989x.5.2.199 · Cited by 593 · see citing works
Accounting for No-Shows in Experimental Evaluation Designs
Bloom, H. S. (1984) · Evaluation Review · doi:10.1177/0193841x8400800205 · Cited by 532 · cited 2× · see citing works
“…effect) estimation have been developed to better estimate treatment efficacy taking into account noncompliance (e.g., Angrist, Imbens & Rubin, 1996; Bloom, 1984; Frangakis & Rubin, 1999; Goetghebeur & Molenberghs, 1996; Hirano, Imbens, Rubin, & Zhou, 2000; Imbens & Rubin, 1997; Jo, 2002a; Little &…”
BackgroundMethodSobel, M. E. (2006) · Journal of the American Statistical Association · doi:10.1198/016214506000000636 · Cited by 468 · see citing works
The Hierarchical Logistic Regression Model for Multilevel Analysis
Wong, G. Y., & Mason, W. M. (1985) · Journal of the American Statistical Association · doi:10.1080/01621459.1985.10478148 · Cited by 460 · see citing works
Ialongo, N. S., Werthamer, L., Kellam, S. G., Brown, C. H., Wang, S., & Lin, Y. (1999) · American Journal of Community Psychology · doi:10.1023/a:1022137920532 · Cited by 425 · see citing works
Self-citationFrangakis, C. (1999) · Biometrika · doi:10.1093/biomet/86.2.365 · Cited by 387 · 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
Raudenbush, S. W., Yang, M.-L., & Yosef, M. (2000) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.2000.10474870 · Cited by 356 · 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
Intention-to-treat analysis and the goals of clinical trials*
Sheiner, L. B., & Rubin, D. B. (1995) · Clinical Pharmacology & Therapeutics · doi:10.1016/0009-9236(95)90260-0 · Cited by 315 · see citing works
Little, R. J. A., & Yau, L. H. Y. (1998) · Psychological Methods · doi:10.1037/1082-989x.3.2.147 · Cited by 234 · see citing works
Statistical considerations in the design and analysis of community intervention trials
Donner, A., & Klar, N. (1996) · Journal of Clinical Epidemiology · doi:10.1016/0895-4356(95)00511-0 · Cited by 230 · see citing works
Tanner, M. A. (1998) · Biometrics · doi:10.2307/3109795 · Cited by 200 · see citing works
Dexter, P. R., Wolinsky, F. D., Gramelspacher, G. P., Zhou, X., Eckert, G. J., Waisburd, M., & Tierney, W. M. (1998) · Annals of Internal Medicine · doi:10.7326/0003-4819-128-2-199801150-00005 · Cited by 190 · see citing works
Robins, J. M., & Greenland, S. (1994) · Journal of the American Statistical Association · doi:10.1080/01621459.1994.10476807 · Cited by 181 · see citing works
Brown, C. H., Wang, W., Kellam, S. G., Muthén, B. O., Petras, H., Toyinbo, P., Poduska, J., Ialongo, N., Wyman, P. A., Chamberlain, P., et al. (2008) · Drug and Alcohol Dependence · doi:10.1016/j.drugalcdep.2007.11.013 · Cited by 177 · see citing works
Self-citationStatistical power in randomized intervention studies with noncompliance.
Jo, B. (2002) · Psychological Methods · doi:10.1037/1082-989x.7.2.178 · Cited by 150 · see citing works
Self-citationEstimation of Intervention Effects with Noncompliance: Alternative Model Specifications
Jo, B. (2002) · Journal of Educational and Behavioral Statistics · doi:10.3102/10769986027004385 · Cited by 141 · see citing works
Self-citationBrown, C. H., & Liao, J. (1999) · American Journal of Community Psychology · doi:10.1023/a:1022142021441 · Cited by 116 · see citing works
Self-citationTHE MEAN AND VARIANCE OF χ2, WHEN USED AS A TEST OF HOMOGENEITY, WHEN EXPECTATIONS ARE SMALL
Haldane, J. B. S. (1940) · Biometrika · doi:10.1093/biomet/31.3-4.346 · Cited by 114 · see citing works
Frangakis, C. (2002) · Biostatistics · doi:10.1093/biostatistics/3.2.147 · Cited by 94 · see citing works
Randomization Analysis of Experimental Data: The Fisher Randomization Test Rejoinder
Basu, D. (1980) · Journal of the American Statistical Association · doi:10.2307/2287654 · Cited by 81 · see citing works
The Intraclass Correlation Coefficient: Distribution-Free Definition and Test
Commenges, D., & Jacqmin, H. (1994) · Biometrics · doi:10.2307/2533395 · Cited by 77 · see citing works
Jo, B. (2002) · Statistics in Medicine · doi:10.1002/sim.1267 · Cited by 72 · see citing works
Self-citationIntention‐to‐treat analysis in cluster randomized trials with noncompliance
Jo, B., Asparouhov, T., & Muthén, B. (2008) · Statistics in Medicine · doi:10.1002/sim.3370 · Cited by 64 · see citing works
Self-citationCausal Inference in a Placebo-Controlled Clinical Trial With Binary Outcome and Ordered Compliance
Goetghebeur, E. J. T., & Molenberghs, G. (1996) · Journal of the American Statistical Association · doi:10.1080/01621459.1996.10476962 · Cited by 50 · see citing works
The Role of Behavior Observation in Measurement Systems for Randomized Prevention Trials
Snyder, J., Reid, J., Stoolmiller, M., Howe, G., Brown, H., Dagne, G., & Cross, W. (2006) · Prevention Science · doi:10.1007/s11121-005-0020-3 · Cited by 50 · see citing works
Flagged first, then by citations
Research works printed but not linked: 6
- Kish L. Survey sampling. New York: Wiley; 1965. [Google Scholar]
- MacKinnon JG, White H. Some heteroscedasticity-consistent covariance matrix estimators with improved finite sample properties. Journal of Econometrics. 1985;29:305–325. [Google Scholar]
- Muthén LK, Muthén BO. Mplus user’s guide. Los Angeles: Muthén & Muthén; 1998–2007. [Google Scholar]
- Rubin DB. Comment on “Neyman (1923) and causal inference in experiments and observational studies.”. Statistical Science. 1990;5:472–480. [Google Scholar]
- Thornquist MD, Anderson GL. Small sample properties of generalized estimating equations in group-randomized designs with Gaussian response. Paper presented at the annual meeting of American Public Health Association; Washington, DC. 1992. Oct, [Google Scholar]
- West SG, Sagarin BJ. Participant selection and loss in randomized experiments. In: Bickman L, editor. Research design. Thousand Oaks, CA: Sage; 2000. pp. 117–154. [Google Scholar]
Cited by
Sorted by citations
An Overview of Research and Evaluation Designs for Dissemination and Implementation
Brown, C. H., Curran, G., Palinkas, L. A., Aarons, G. A., Wells, K. B., Jones, L., Collins, L. M., Duan, N., Mittman, B. S., Wallace, A., et al. (2017) · Annual Review of Public Health · doi:10.1146/annurev-publhealth-031816-044215 · Cited by 509 · see citing works
Self-citationMoving From the Lab to the Field: The Role of Fidelity and Achieved Relative Intervention Strength
Hulleman, C. S., & Cordray, D. S. (2009) · Journal of Research on Educational Effectiveness · doi:10.1080/19345740802539325 · Cited by 291 · see citing works
Adaptive Designs for Randomized Trials in Public Health
Brown, C. H., Ten Have, T. R., Jo, B., Dagne, G., Wyman, P. A., Muthén, B., & Gibbons, R. D. (2009) · Annual Review of Public Health · doi:10.1146/annurev.publhealth.031308.100223 · Cited by 184 · see citing works
Self-citationLee, G. P., Storr, C. L., Ialongo, N. S., & Martins, S. S. (2011) · Journal of Adolescent Health · doi:10.1016/j.jadohealth.2010.06.002 · Cited by 51 · see citing works
Nagengast, B., Brisson, B. M., Hulleman, C. S., Gaspard, H., Häfner, I., & Trautwein, U. (2018) · The Journal of Experimental Education · doi:10.1080/00220973.2017.1289359 · Cited by 24 · see citing works
- Authors
- Jo, B., Asparouhov, T., Muthén, B. O., Ialongo, N. S., & Brown, C. H.
- Affiliations
- Stanford University (US)
- Muthén & Muthén (United States) (US)
- University of California, Los Angeles (US)
- Johns Hopkins University (US)
- University of South Florida (US)
- Venue
- Psychological Methods
- Published
- 2008
- Volume
- 13
- Issue
- 1
- Pages
- 1-18
- ISSN
- 1082-989X (ISSN-L)
- 1939-1463
- PMC
- PMC2917590
- OpenAlex
- W1998990236
- Cited by
- 83
- References
- 61
- Citations by year
- 2026: 3 · 2025: 3 · 2024: 2 · 2023: 1 · 2022: 3 · 2021: 4 · 2020: 11 · 2019: 6 · 2018: 8 · 2017: 5 · 2016: 7 · 2015: 2 · 2014: 3 · 2013: 4 · 2012: 2
- FWCI
- 5.98
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Psychological Methods (publishedVersion)
- PubMed (publishedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Institute of Mental Health (MH066319; MH066247; MH40859)
- National Institute on Drug Abuse (DA11796)
- National Institute on Alcohol Abuse and Alcoholism (AA00230)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- treatment non-adherence, clustering, complier average causal effect, statistical inference, field experiments, Monte Carlo simulation
- MeSH terms
- Mental Disorders, Humans, Monte Carlo Method, Patient Compliance, Cluster Analysis, 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