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Missing Values in Multivariate Analysis
Open accessAbstract
Summary: This paper presents computational results for some alternative methods of analysing multivariate data with missing values. We recommend an algorithm due to Orchard and Woodbury (1972), which gives an estimator that is maximum likelihood when the data come from a multivariate normal population. We include a derivation of the estimator that does not assume a multivariate normal population, as an iterated form of Buck's (1960) method. We derive an approximate method of assigning standard errors to regression coefficients estimated from incomplete observations, and quote supporting evidence from simulation studies. A brief account is given of the application of these methods to some school examinations data.
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Citations
Cited by
Maximum Likelihood from Incomplete Data Via the EM 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
“Orchard and Woodbury (1972) and Beale and Little (1975) have described a cyclic algorithm for maximum-likelihood estimates, motivated by what Orchard and Woodbury call a "missing information principle".”
BackgroundMethodRandom-Effects Models for Longitudinal Data
Laird, N. M., & Ware, J. H. (1982) · Biometrics · doi:10.2307/2529876 · Cited by 8,923
MISSING DATA: A CONCEPTUAL REVIEW FOR APPLIED PSYCHOLOGISTS
ROTH, P. L. (1994) · Personnel Psychology · doi:10.1111/j.1744-6570.1994.tb01736.x · Cited by 901
On structural equation modeling with data that are not missing completely at random
Muthén, B., Kaplan, D., & Hollis, M. (1987) · Psychometrika · doi:10.1007/bf02294365 · Cited by 883
The EM Algorithm—an Old Folk-song Sung to a Fast New Tune
Meng, X.-L., & Van Dyk, D. (1997) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00082 · Cited by 802
Metadata
- Authors
- Beale, E. M. L., & Little, R. J. A.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1975-09-01
- Volume
- 37
- Issue
- 1
- Pages
- 129-145
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W38009143
- Cited by
- 343
- References
- 0
- FWCI
- 7.66
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Beale, E. M. L., & Little, R. J. A. (1975). Missing Values in Multivariate Analysis. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1975.tb01037.x
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
