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Multiple Imputation and its Application
Abstract
A practical guide to analysing partially observed data. Collecting, analysing and drawing inferences from data is central to research in the medical and social sciences. Unfortunately, it is rarely possible to collect all the intended data. The literature on inference from the resulting incomplete data is now huge, and continues to grow both as methods are developed for large and complex data structures, and as increasing computer power and suitable software enable researchers to apply these methods. This book focuses on a particular statistical method for analysing and drawing inferences from incomplete data, called Multiple Imputation (MI). MI is attractive because it is both practical and widely applicable. The authors aim is to clarify the issues raised by missing data, describing the rationale for MI, the relationship between the various imputation models and associated algorithms and its application to increasingly complex data structures. Multiple Imputation and its Application: Discusses the issues raised by the analysis of partially observed data, and the assumptions on which analyses rest. Presents a practical guide to the issues to consider when analysing incomplete data from both observational studies and randomized trials. Provides a detailed discussion of the practical use of MI with real-world examples drawn from medical and social statistics. Explores handling non-linear relationships and interactions with multiple imputation, survival analysis, multilevel multiple imputation, sensitivity analysis via multiple imputation, using non-response weights with multiple imputation and doubly robust multiple imputation. Multiple Imputation and its Application is aimed at quantitative researchers and students in the medical and social sciences with the aim of clarifying the issues raised by the analysis of incomplete data data, outlining the rationale for MI and describing how to consider and address the issues that arise in its application.
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“The sensitivity of the final results to missing data will be investigated using multiple imputation analysis based on chained equations and predictive mean matching.63”
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Items 401–500 of 911
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“If the data have a multivariate normal distribution, then the sequential conditional method is equivalent to the joint method, when the conditional distribution for each variable conditions on all other variables (Carpenter and Kenward, 2013).”
MethodMultiple imputation for ordinal longitudinal data with monotone missing data patterns
Kombo, A. Y., Mwambi, H. G., & Molenberghs, G. (2016) · Journal of Applied Statistics · doi:10.1080/02664763.2016.1168370 · Cited by 15
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Delitto, A., Patterson, C. G., Stevans, J. M., Brennan, G. P., Wegener, S. T., Morrisette, D. C., Beneciuk, J. M., Freel, J. A., Minick, K. I., Hunter, S. J., et al. (2019) · Contemporary Clinical Trials · doi:10.1016/j.cct.2019.05.010 · Cited by 15
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Self-citationon behalf of the TARVA Study Group, Muller, P. Y., Skene, S. S., et al. (2020) · Trials · doi:10.1186/s13063-019-3973-4 · Cited by 14
“Then, the imputed 52-week MOXFQ scores will each have a number Ø added to them, and the multiple imputation primary analysis model will be run (with estimates combined using Rubin’s rules [27]).”
MethodHandling Missing Values in Interrupted Time Series Analysis of Longitudinal Individual-Level Data
Bazo‐Alvarez, J. C., Morris, T. P., Pham, T. M., Carpenter, J. R., & Petersen, I. (2020) · Clinical Epidemiology · doi:10.2147/clep.s266428 · Cited by 14
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“Finally, we obtained the pooled estimates for the regression coefficients, b β0 and b βk , using Rubin’s rules [27] (testEstimates R function) with two matrices containing the mean and the variances estimates, respectively, from each imputed dataset as arguments.”
MethodNing, H., Krefman, A. E., Zhao, L., Wilkins, J. T., Lloyd‐Jones, D. M., Siddique, J., & Allen, N. B. (2021) · American Journal of Epidemiology · doi:10.1093/aje/kwab137 · Cited by 15
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“…conducted using the Blimp software (Keller & Enders, 2018), which utilizes a fully conditional specification (also known as imputation using chained equations; Carpenter & Kenward, 2013) and adopts a probit regression model for imputing binary and ordinal variables (Enders, Keller, & Levy, 2018).”
MethodLeite, W. L., Aydın, B., & Cetin‐Berber, D. D. (2021) · Evaluation Review · doi:10.1177/0193841x211020245 · Cited by 15
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“Methods: We compare the three imputation methods introduced in the previous section, (5) to (7).”
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“We explored the effect of missing data by fitting multiple imputation models under the missing-atrandom (MAR) assumption (Carpenter and Kenward, 2013), and then compared the results with a complete case analysis.”
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Bruckers, L. M., Molenberghs, G., & Dendale, P. (2017) · Biometrical Journal · doi:10.1002/bimj.201500027 · Cited by 13
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“Imputation models were compatible to the subsequent analysis models, i.e., so-called substantive-model compatible multiple imputation (Carpenter and Kenward 2013; Goldstein et al. 2009, 2014).”
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Handling missing values in patient-reported outcome data in the presence of intercurrent events
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“Multiple imputation by modelling the joint posterior distribution directly that takes the multilevel data structure into account has also been described in the literature [54, 55] (R software includes the jomo package [56]).”
Sheikh, M. A., Lund, E., & Braaten, T. (2016) · SAGE Open Medicine · doi:10.1177/2050312115622857 · Cited by 12
Compatibility in imputation specification
Du, H., Alacam, E., Mena, S., & Keller, B. T. (2022) · Behavior Research Methods · doi:10.3758/s13428-021-01749-5 · Cited by 11
“There is a third way to specify the imputation model and ensure compatibility in the context of multiple incomplete covariates: the substantive model based version of joint modeling (Carpenter & Kenward, 2013).”
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Onninen, J., Pylkkönen, M., Hakola, T., Puttonen, S., Virkkala, J., Tolvanen, A. J., & Sallinen, M. (2022) · Applied Ergonomics · doi:10.1016/j.apergo.2022.103761 · Cited by 13
Ethnicity and place: the geography of diabetes inequalities under a strong welfare state
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Estimating poverty for refugees in data-scarce contexts: an application of cross-survey imputation
Dang, H.-A. H., & Verme, P. (2022) · Journal of Population Economics · doi:10.1007/s00148-022-00909-x · Cited by 11
“This imputation method is also related to an established literature on multiple imputation (MI) in statistics (see, e.g., Rubin (1987) and Carpenter & Kenward (2013)).”
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Baade, P. D., Fowler, H., Kou, K., Dunn, J. C., Chambers, S. K., Pyke, C., & Aitken, J. F. (2022) · Breast Cancer Research and Treatment · doi:10.1007/s10549-022-06682-5 · Cited by 11
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Synthetic Microdata for Establishment Surveys Under Informative Sampling
Kim, H. J., Drechsler, J., & Thompson, K. J. (2020) · Journal of the Royal Statistical Society Series A (Statistics in Society) · doi:10.1111/rssa.12622 · Cited by 11
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“The separate imputation by treatment group is often used in practice (Bell and Fairclough 2014; Carpenter and Kenward 2013); however, it has not been sufficiently addressed and welldocumented how the two different imputation strategies work in the analysis of the longitudinal data.”
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Variability of Thyroid Measurements from Ultrasound and Laboratory in a Repeated Measurements Study
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Comparison of regression imputation methods of baseline covariates that predict survival outcomes
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“The reader is referred to these references for additional details [4,5,11,20,21].”
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Assessing alternative imputation strategies for infrequently missing items on multi-item scales
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“Procedures for dealing with data that are missing but not at random (MNAR), require much more complex solutions than those we could apply in our study, generally involving the use of appropriate sensitivity analysis (see, e.g., Carpenter and Kenward 2013, Chapter 10).”
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“This would also allow the imputation models of Equations (2) and (3) to include 4 weeks smoking cessation as a variable, potentially improving imputations.”
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On using multiple imputation for exploratory factor analysis of incomplete data
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Wilson, R., Abbott, J. H., Mellor, R., et al. (2022) · Journal of physiotherapy · doi:10.1016/j.jphys.2022.11.007 · Cited by 9
Vinke, P. C., Combalia, M., de Bock, G. H., Leyrat, C., Spanjaart, A. M., Dalle, S., da Silva, M. G., Essongue, A., Rabier, A., Pannard, M., et al. (2023) · BMJ Open · doi:10.1136/bmjopen-2022-069090 · Cited by 9
Cook, R. J., & Lawless, J. F. (2023) · The Journal of Rheumatology · doi:10.3899/jrheum.2023-0499 · Cited by 9
Thiesmeier, R., Bottai, M., & Orsini, N. (2024) · Journal of Statistical Computation and Simulation · doi:10.1080/00949655.2024.2404220 · Cited by 9
Metadata
- Authors
- Carpenter, J. R., & Kenward, M. G.
- ORCID
- Carpenter, James R.
- Venue
- Wiley eBooks
- Publisher
- Wiley
- Published
- 2012-12-18
- OpenAlex
- W1500944114
- Cited by
- 913
- References
- 0
- Citations by year
- 2026: 13 · 2025: 37 · 2024: 53 · 2023: 65 · 2022: 81 · 2021: 101 · 2020: 94 · 2019: 90 · 2018: 93 · 2017: 85 · 2016: 85 · 2015: 54 · 2014: 44 · 2013: 14 · 2012: 3
- FWCI
- 9.44
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Wiley eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- LSHTM Research Online (London School of Hygiene and Tropical Medicine) (submittedVersion)
- Wiley eBooks
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Keywords
- multiple imputation, missing data, incomplete data analysis, imputation models, observational studies, nonlinear relationship, survival analysis, sensitivity analysis, medical statistics, social statistics
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