RECORD
A note on multiple imputation for method of moments estimation
Methodology · Submitted 27 Aug 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim A new variance estimator based on over-imputation is proposed to provide asymptotically valid inference for method of moments estimation.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
Multiple imputation is a popular imputation method for general purpose estimation. Rubin(1987) provided an easily applicable formula for the variance estimation of multiple imputation. However, the validity of the multiple imputation inference requires the congeniality condition of Meng(1994), which is not necessarily satisfied for method of moments estimation. This paper presents the asymptotic bias of Rubin's variance estimator when the method of moments estimator is used as a complete-sample estimator in the multiple imputation procedure. A new variance estimator based on over-imputation is proposed to provide asymptotically valid inference for method of moments estimation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Multiple imputation is a popular imputation method for general purpose estimation. | background 1.00 | 0.03 | 0.02 | asserted 1.00 |
| s1 | Rubin(1987) provided an easily applicable formula for the variance estimation of multiple imputation. | background 1.00 | 0.03 | 0.02 | asserted 1.00 |
| s2 | However, the validity of the multiple imputation inference requires the congeniality condition of Meng(1994), which is not necessarily satisfied for method of moments estimation. | gap 0.61 | 0.05 | 0.09 | asserted 0.87 |
| s3 | This paper presents the asymptotic bias of Rubin's variance estimator when the method of moments estimator is used as a complete-sample estimator in the multiple imputation procedure. | contribution 0.54 | 0.89 | 0.23 | asserted 0.99 |
| s4 | A new variance estimator based on over-imputation is proposed to provide asymptotically valid inference for method of moments estimation. | contribution 0.96 | 0.93 | 0.69 | asserted 0.97 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Multiple imputation is a popular imputation method for general purpose estimation. Rubin(1987) provided an easily applicable formula for the variance estimation of multiple imputation. However, the validity of the multiple imputation inference requires the congeniality condition of Meng(1994), which is not necessarily satisfied for method of moments estimation. This paper presents the asymptotic bias of Rubin's variance estimator when the method of moments estimator is used as a complete-sample estimator in the multiple imputation procedure. A new variance estimator based on over-imputation is proposed to provide asymptotically valid inference for method of moments estimation.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.