A Primer on Maximum Likelihood Algorithms Available for Use With Missing Data

Maximum likelihood algorithms for use with missing data are becoming commonplace in microcomputer packages. Specifically, 3 maximum likelihood algorithms are currently available in existing software packages: the multiple-group approach, full information maximum likelihood estimation, and the EM algorithm. Although they belong to the same family of estimator, confusion appears to exist over the differences among the 3 algorithms. This article provides a comprehensive, nontechnical overview of the 3 maximum likelihood algorithms. Multiple imputation, which is frequently used in conjunction with the EM algorithm, is also discussed.

[1]  Jürgen Baumert,et al.  Modeling longitudinal and multilevel data: Practical issues, applied approaches, and specific examples. , 2000 .

[2]  Craig K. Enders,et al.  The Relative Performance of Full Information Maximum Likelihood Estimation for Missing Data in Structural Equation Models , 2001 .

[3]  David Kaplan,et al.  The Impact of BIB Spiraling-Induced Missing Data Patterns on Goodness-of-Fit Tests in Factor Analysis , 1995 .

[4]  P. Roth MISSING DATA: A CONCEPTUAL REVIEW FOR APPLIED PSYCHOLOGISTS , 1994 .

[5]  P. Allison Estimation of Linear Models with Incomplete Data , 1987 .

[6]  Nicole A. Lazar,et al.  Statistical Analysis With Missing Data , 2003, Technometrics.

[7]  J. Baumert,et al.  Longitudinal and multi-group modeling with missing data , 2022 .

[8]  Bengt Muthén,et al.  On structural equation modeling with data that are not missing completely at random , 1987 .

[9]  Bradley Efron,et al.  Nonparametric Estimates of Standard Error: The Jackknife, the Bootstrap, and Other Resampling Plans , 1983 .

[10]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[11]  M. Woodbury A missing information principle: theory and applications , 1972 .

[12]  James L. Arbuckle,et al.  Full Information Estimation in the Presence of Incomplete Data , 1996 .

[13]  Fuzhong Li,et al.  A comparison of model‐ and multiple imputation‐based approaches to longitudinal analyses with partial missingness , 1998 .

[14]  Carl T. Finkbeiner Estimation for the multiple factor model when data are missing , 1979 .

[15]  B. Efron Nonparametric estimates of standard error: The jackknife, the bootstrap and other methods , 1981 .

[16]  J L Schafer,et al.  Multiple Imputation for Multivariate Missing-Data Problems: A Data Analyst's Perspective. , 1998, Multivariate behavioral research.

[17]  David E. Booth,et al.  Analysis of Incomplete Multivariate Data , 2000, Technometrics.

[18]  Jae-On Kim,et al.  The Treatment of Missing Data in Multivariate Analysis , 1977 .

[19]  D. Rubin INFERENCE AND MISSING DATA , 1975 .

[20]  R. R. Hocking,et al.  The analysis of incomplete data. , 1971 .

[21]  D P MacKinnon,et al.  Maximizing the Usefulness of Data Obtained with Planned Missing Value Patterns: An Application of Maximum Likelihood Procedures. , 1996, Multivariate behavioral research.