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Attrition in longitudinal studies
Abstract
The purpose of this paper was to illustrate the influence of missing data on the results of longitudinal statistical analyses [i.e., MANOVA for repeated measurements and Generalised Estimating Equations (GEE)] and to illustrate the influence of using different imputation methods to replace missing data. Besides a complete dataset, four incomplete datasets were considered: two datasets with 10% missing data and two datasets with 25% missing data. In both situations missingness was considered independent and dependent on observed data. Imputation methods were divided into cross-sectional methods (i.e., mean of series, hot deck, and cross-sectional regression) and longitudinal methods (i.e., last value carried forward, longitudinal interpolation, and longitudinal regression). Besides these, also the multiple imputation method was applied and discussed. The analyses were performed on a particular (observational) longitudinal dataset, with particular missing data patterns and imputation methods. The results of this illustration shows that when MANOVA for repeated measurements is used, imputation methods are highly recommendable (because MANOVA as implemented in the software used, uses listwise deletion of cases with a missing value). Applying GEE analysis, imputation methods were not necessary. When imputation methods were used, longitudinal imputation methods were often preferable above cross-sectional imputation methods, in a way that the point estimates and standard errors were closer to the estimates derived from the complete dataset. Furthermore, this study showed that the theoretically more valid multiple imputation method did not lead to different point estimates than the more simple (longitudinal) imputation methods. However, the estimated standard errors appeared to be theoretically more adequate, because they reflect the uncertainty in estimation caused by missing values.
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“GEE allows for not using imputation methods for the missing data, because the participants with missing data are not excluded from the analysis [46].”
From Fibrates as drugs with senolytic and autophagic activity for osteoarthritis therapy (2019) · cites this paper as [46]
In the citing paper
“We chose GEE models because EMA data have a hierarchical structure; this type of model adjusts for dependency of repeated measures within one participant and can handle non-normally distributed data. GEE models are also suitable for dealing with missing data; it is not required to exclude participants with missing questionnaires, nor should missing questionnaires be imputed beforehand.”
From Experienced burden of and adherence to smartphone-based ecological momentary assessment in persons with affective disorders (2020) · cites this paper as [29]
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“Several of these methods are not applicable to the analysis of data in longitudinal studies, which are correlational research studies that involve repeated observations of the same variables over long periods of time (Twisk and de Vente, 2002).”
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Using absolutist word frequency from online searches to measure population mental health dynamics
Adam‐Troian, J., Bonetto, É., & Arciszewski, T. (2022) · Scientific Reports · doi:10.1038/s41598-022-06392-4 · Cited by 14
Alenazi, A. M., Alqahtani, B. A., Vennu, V. S., Alshehri, M. M., Alanazi, A., Alrawaili, S. M., Khunti, K. K., Segal, N. A., & Bindawas, S. M. (2021) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph18094414 · Cited by 14
“In addition, this analytical approach allows for including participants with missing data without excluding them from the model, allowing better estimation [40].”
MethodChanges in the Complexity of Limb Movements during the First Year of Life across Different Tasks
Laudańska, Z., Pérez, D. L., Radkowska, A., Babis, K., Malinowska‐Korczak, A., Wallot, S., & Tomalski, P. (2022) · Entropy · doi:10.3390/e24040552 · Cited by 14
Jiamjariyaporn, T., Ingsathit, A., Tungsanga, K., Banchuin, C., Vipattawat, K., Kanchanakorn, S., Leesmidt, V., Watcharasaksilp, W., Saetie, A., Pachotikarn, C., et al. (2014) · BMC Nephrology · doi:10.1186/1471-2369-15-99 · Cited by 14
“The comparison of the rate of eGFR decline will be analyzed using linear mixed models (Generalized Estimating Equation) [16].”
MethodYoung men were at risk of becoming lost to follow-up in a cohort of head-injured adults.
Edwards, P., Fernandes, J., Roberts, I. W., & Kuppermann, N. (2007) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2006.06.021 · Cited by 14
Savarimuthu, N., & Karesiddaiah, S. (2021) · Concurrency and Computation Practice and Experience · doi:10.1002/cpe.6156 · Cited by 15
“The function k(x) returns the k-nearest patterns (k-arg min) from a set C ⊂X that have the same complete features (¬mt → ¬mt) plus the jth feature available (M(t∗ ,j) = 0): k(xt, mt, j) = k − arg min xt′ ,∈L Δ(xt ⊖ ¬mt, xt′ ⊖ ¬mt) (13)”
Barzi, F., Woodward, M., Marfisi, R. M., Tognoni, G., Marchioli, R., & on behalf of GISSI-Prevenzione Investigators (2006) · European Journal of Epidemiology · doi:10.1007/s10654-005-5086-5 · Cited by 14
Mentally disordered offenders' daily occupations after one year of forensic care
Lindstedt, H., Grann, M., & Söderlund, A. (2010) · Scandinavian Journal of Occupational Therapy · doi:10.3109/11038128.2010.525720 · Cited by 14
“Second, lost data from the OP and SP variables at T2 were replaced with available known data from the 38 dropouts at T1 (57,58).”
MethodBergland, A., Narum, I., Grönstedt, H. K., Hellström, K., Helbostad, J. L., Puggaard, L., Andresen, M., Granbo, R., & Frändin, K. (2010) · Physical & Occupational Therapy In Geriatrics · doi:10.3109/02703181.2010.490322 · Cited by 14
Lukavská, K., Vacek, J., & Gabrhelík, R. (2020) · Journal of Behavioral Addictions · doi:10.1556/2006.2020.10000 · Cited by 14
Ning, Y. M., McAvay, G., Chaudhry, S. I., Arnold, A. M., & Allore, H. G. (2013) · Experimental Aging Research · doi:10.1080/0361073x.2013.741968 · Cited by 13
Juang, L. P., Hou, Y., Bayless, S. D., & Kim, S. Y. (2017) · Developmental Psychology · doi:10.1037/dev0000475 · Cited by 13
Colin-Chevalier, R., Dutheil, F., Cambier, S., Dewavrin, S., Cornet, T., Baker, J. S., & Pereira, B. (2022) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph19127023 · Cited by 13
“Attrition, or random drop-out [45], is a major and common problem in longitudinal studies, representing an important challenge when modeling [46] as it may produce estimates of the effects that are often underestimated [47].”
BackgroundEvaluation of a tablet-based instruction of breathing technique in patients with COPD
Chan, H., Dai, Y., & Hou, I. (2016) · International Journal of Medical Informatics · doi:10.1016/j.ijmedinf.2016.06.018 · Cited by 13
Schluter, P., & Paterson, J. (2010) · Accident Analysis and Prevention · doi:10.1016/j.aap.2010.06.020 · Cited by 13
Convergence of random -nearest-neighbour imputation
Dahl, F. A. (2006) · Computational Statistics & Data Analysis · doi:10.1016/j.csda.2006.11.007 · Cited by 13
“However, there have been computer simulation studies, e.g. Twisk and de Vente (2002) or Hawthorne and Elliott (2005) showing that, under suitable conditions, inference from imputed data sets is robust.”
BackgroundNilsson, A. K., Denison, E., & Lindberg, P. (2011) · BMC Nursing · doi:10.1186/1472-6955-10-17 · Cited by 13
“Missing values were substituted with means for the available data on life domains when the missing values were > 10% [29].”
Nathiya, D., Raj, P., Singh, P., Bareth, H., Tejavath, A. S., Suman, S., Tomar, B. S., & Rai, R. R. (2023) · Journal of Clinical Medicine · doi:10.3390/jcm12165348 · Cited by 12
Siegrist, J., Tough, H., Brinkhof, M. W. G., Fekete, C., & SwiSCI study group (2019) · Psychology and Health · doi:10.1080/08870446.2019.1707826 · Cited by 12
Gaines, T. L., Rudolph, A. E., Brouwer, K. C., Strathdee, S. A., Lozada, R., Martinez, G., Goldenberg, S. M., & Rusch, M. (2013) · International Journal of STD & AIDS · doi:10.1177/0956462412473890 · Cited by 12
Mericle, A. A., Kaskutas, L. A., Polcin, D. L., & Karriker‐Jaffe, K. J. (2018) · Journal of Social and Clinical Psychology · doi:10.1521/jscp.2018.37.1.1 · Cited by 15
Taylor, A. W., Grande, E. D., Grant, J. F., Appleton, S., Gill, T. K., Shi, Z., & Adams, R. (2012) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2012.06.021 · Cited by 11
Izutsu, M., Suzuki, E., Izutsu, Y., & Doi, H. (2014) · PubMed · doi:10.18926/amo/52406 · Cited by 11
Berendsen, B., Hendriks, M. R., Rutten, G. M., Kremers, S., Savelberg, H. H. C. M., & Schaper, N. C. (2020) · Preventive Medicine Reports · doi:10.1016/j.pmedr.2020.101204 · Cited by 11
Metadata
- Authors
- Twisk, J., & de Vente, W.
- Affiliations
- Vrije Universiteit Amsterdam (NL)
- Corresponding author
- Twisk, Jos
- ORCID
- Twisk, Jos
- Venue
- Journal of Clinical Epidemiology
- Publisher
- Elsevier BV
- Published
- 2002-04
- Volume
- 55
- Issue
- 4
- Pages
- 329-337
- ISSN
- 0895-4356 (ISSN-L)
- OpenAlex
- W2032594557
- Cited by
- 527
- References
- 18
- Citations by year
- 2026: 18 · 2025: 15 · 2024: 9 · 2023: 20 · 2022: 24 · 2021: 43 · 2020: 18 · 2019: 36 · 2018: 28 · 2017: 27 · 2016: 26 · 2015: 23 · 2014: 29 · 2013: 28 · 2012: 27
- FWCI
- 14.23
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Clinical Epidemiology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Keywords
- attrition, missing data, longitudinal study, imputation methods, multiple imputation, generalized estimating equations, listwise deletion, hot deck imputation, cross-sectional regression, standard errors
- MeSH terms
- Analysis of Variance, Data Interpretation, Statistical, Epidemiologic Methods, Humans, Longitudinal Studies, Mathematical Computing, Research Design
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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