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Performing likelihood ratio tests with multiply-imputed data sets

MENG, XIAO-LI, RUBIN, DONALD B.·1992·Biometrika

Abstract

Existing procedures for obtaining significance levels from multiply-imputed data either (i) require access to the completed-data point estimates and variance-covariance matrices, which may not be available in practice when the dimensionality of the estimand is high, or (ii) directly combine p-values with less satisfactory results. Taking advantage of the well-known relationship between the Wald and log likelihood ratio test statistics, we propose a complete-data log likelihood ratio based procedure. It is shown that, for any number of multiple imputations, the proposed procedure is equivalent in large samples to the existing procedure based on the point estimates and the variance-covariance matrices, yet it only requires the point estimates and evaluations of the complete-data log likelihood ratio statistic as a function of these estimates and the completed data. The proposed procedure, therefore, is especially attractive with highly multiparameter incomplete-data problems since it does not involve the computation of any matrices.

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Metadata

Authors
MENG, X.-L., & RUBIN, D. B.
Venue
Biometrika
Published
1992
Volume
79
Issue
1
Pages
103-111
ISSN
  • 0006-3444 (ISSN-L)
  • 1464-3510
OpenAlex
W2046205654
Cited by
366
References
6
FWCI
1.38
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Performing likelihood ratio tests with multiply-imputed data sets. https://app.cochat.ai/papers/10.1093/biomet/79.1.103
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MENG, X.-L., & RUBIN, D. B. (1992). Performing likelihood ratio tests with multiply-imputed data sets. Biometrika. https://doi.org/10.1093/biomet/79.1.103

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