The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
The estimation of R 2 and adjusted R 2 in incomplete data sets using multiple imputation
Abstract
The coefficient of determination, known also as the R 2, is a common measure in regression analysis. Many scientists use the R 2 and the adjusted R 2 on a regular basis. In most cases, the researchers treat the coefficient of determination as an index of ‘usefulness’ or ‘goodness of fit,’ and in some cases, they even treat it as a model selection tool. In cases in which the data is incomplete, most researchers and common statistical software will use complete case analysis in order to estimate the R 2, a procedure that might lead to biased results. In this paper, I introduce the use of multiple imputation for the estimation of R 2 and adjusted R 2 in incomplete data sets. I illustrate my methodology using a biomedical example.
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Cites
Model selection and multimodel inference: a practical information-theoretic approach.
Guthery, F. S., Burnham, K. P., & Anderson, D. R. (2003) · The Journal of Wildlife Management · doi:10.2307/3802723 · Cited by 41,495
Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences
Cohen, P., Cohen, P., West, S. G., & Aiken, L. S. (2014) · Psychology Press eBooks · doi:10.4324/9781410606266 · Cited by 20,737
Multiple Imputation for Nonresponse in Surveys
Rubin, D. B. (1987) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316696 · Cited by 20,701
(2005) · Technometrics · doi:10.1198/tech.2005.s303 · Cited by 17,923
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 17,265
Missing data: our view of the state of the art
Schafer, J. L., & Graham, J. W. (2002) · Psychological Methods · doi:10.1037/1082-989x.7.2.147 · Cited by 11,638
RUBIN, D. B. (1976) · Biometrika · doi:10.1093/biomet/63.3.581 · Cited by 9,925
Statistical Analysis with Missing Data
Little, R. J. A., & Rubin, D. B. (2002) · Wiley Series in Probability and Statistics · doi:10.1002/9781119013563 · Cited by 8,473
Statistical Methods for Psychology.
Gudgeon, A. C., & Howell, D. C. (1994) · The Statistician · doi:10.2307/2348956 · Cited by 8,278
Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences.
Henry, N. W., Cohen, J., & Cohen, P. (1977) · Contemporary Sociology · doi:10.2307/2064799 · Cited by 7,089
Cited by
mice: Multivariate Imputation by Chained Equations in R
Buuren, S. V., & Groothuis-Oudshoorn, K. (2011) · Journal of Statistical Software · doi:10.18637/jss.v045.i03 · Cited by 13,870
“Its properties in the context of multiple imputation were studied by Harel (2009).”
BackgroundMarshall, A., Altman, D. G., Holder, R. L., & Royston, P. (2009) · BMC Medical Research Methodology · doi:10.1186/1471-2288-9-57 · Cited by 874
Integrating the environmental and genetic architectures of aging and mortality
Argentieri, M. A., Amin, N., Nevado-Holgado, A. J., Sproviero, W., Collister, J. A., Keestra, S. M., Kuilman, M. M., Ginos, B. N. R., Ghanbari, M., Doherty, A., et al. (2025) · Nature Medicine · doi:10.1038/s41591-024-03483-9 · Cited by 211
Everyday unfair treatment and multisystem biological dysregulation in African American adults.
Ong, A. D., Williams, D. R., Nwizu, U., & Gruenewald, T. L. (2017) · Cultural Diversity & Ethnic Minority Psychology · doi:10.1037/cdp0000087 · Cited by 133
Locke, J., Shih, W., Kretzmann, M., & Kasari, C. (2016) · Autism · doi:10.1177/1362361315599468 · Cited by 83
Metadata
- Authors
- Harel, O.
- Venue
- Journal of Applied Statistics
- Publisher
- Informa UK Limited
- Published
- 2009-09-24
- Volume
- 36
- Issue
- 10
- Pages
- 1109-1118
- ISSN
- 0266-4763 (ISSN-L)
- 1360-0532
- OpenAlex
- W2057119701
- Cited by
- 261
- References
- 31
- FWCI
- 4.10
- Type
- journal article
- Language
- en
- Open access
- closed
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