Multiple imputation of missing dual‐energy X‐ray absorptiometry data in the National Health and Nutrition Examination Survey

In 1999, dual‐energy x‐ray absorptiometry (DXA) scans were added to the National Health and Nutrition Examination Survey (NHANES) to provide information on soft tissue composition and bone mineral content. However, in 1999–2004, DXA data were missing in whole or in part for about 21 per cent of the NHANES participants eligible for the DXA examination; and the missingness is associated with important characteristics such as body mass index and age. To handle this missing‐data problem, multiple imputation of the missing DXA data was performed. Several features made the project interesting and challenging statistically, including the relationship between missingness on the DXA measures and the values of other variables; the highly multivariate nature of the variables being imputed; the need to transform the DXA variables during the imputation process; the desire to use a large number of non‐DXA predictors, many of which had small amounts of missing data themselves, in the imputation models; the use of lower bounds in the imputation procedure; and relationships between the DXA variables and other variables, which helped both in creating and evaluating the imputations. This paper describes the imputation models, methods, and evaluations for this publicly available data resource and demonstrates properties of the imputations via examples of analyses of the data. The analyses suggest that imputation helps to correct biases that occur in estimates based on the data without imputation, and that it helps to increase the precision of estimates as well. Moreover, multiple imputation usually yields larger estimated standard errors than those obtained with single imputation. Published in 2010 by John Wiley & Sons, Ltd.

[1]  Ofer Harel,et al.  Strategies for Data Analysis with Two Types of Missing Values , 2009 .

[2]  M. Kenward,et al.  Multiple imputation for missing data in epidemiological and clinical research: potential and pitfalls , 2009, BMJ : British Medical Journal.

[3]  Tamara B Harris,et al.  Comparisons of percentage body fat, body mass index, waist circumference, and waist-stature ratio in adults. , 2009, The American journal of clinical nutrition.

[4]  Jerome P. Reiter,et al.  The Multiple Adaptations of Multiple Imputation , 2007 .

[5]  Xiao-Hua Zhou,et al.  Multiple imputation: review of theory, implementation and software , 2007, Statistics in medicine.

[6]  Andrew Gelman,et al.  Diagnostics for multivariate imputations , 2007 .

[7]  J. Graham,et al.  How Many Imputations are Really Needed? Some Practical Clarifications of Multiple Imputation Theory , 2007, Prevention Science.

[8]  S. van Buuren Multiple imputation of discrete and continuous data by fully conditional specification , 2007, Statistical methods in medical research.

[9]  D. Rubin,et al.  Fully conditional specification in multivariate imputation , 2006 .

[10]  T. Raghunathan,et al.  Multiple Imputation of Missing Income Data in the National Health Interview Survey , 2006 .

[11]  Jerome P. Reiter,et al.  The importance of modeling the sampling design in multiple imputation for missing data , 2006 .

[12]  Stephen R. Thomas,et al.  Effective dose of dual-energy X-ray absorptiometry scans in children as a function of age. , 2005, Journal of clinical densitometry : the official journal of the International Society for Clinical Densitometry.

[13]  Donald B. Rubin,et al.  Nested multiple imputation of NMES via partially incompatible MCMC , 2003 .

[14]  Roderick J. A. Little,et al.  Statistical Analysis with Missing Data: Little/Statistical Analysis with Missing Data , 2002 .

[15]  J. Schafer,et al.  A comparison of inclusive and restrictive strategies in modern missing data procedures. , 2001, Psychological methods.

[16]  D. Rubin,et al.  Small-sample degrees of freedom with multiple imputation , 1999 .

[17]  S. Majumdar,et al.  Noninvasive assessment of bone mineral and structure: State of the art , 1996, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[18]  D. Rubin Multiple Imputation After 18+ Years , 1996 .

[19]  D. Rubin,et al.  Handling “Don't Know” Survey Responses: The Case of the Slovenian Plebiscite , 1995 .

[20]  Xiao-Li Meng,et al.  Multiple-Imputation Inferences with Uncongenial Sources of Input , 1994 .

[21]  Donald B. Rubin,et al.  Multiple Imputation of Industry and Occupation Codes in Census Public-use Samples Using Bayesian Logistic Regression , 1991 .

[22]  D. Rubin Multiple imputation for nonresponse in surveys , 1989 .

[23]  W. W. Muir,et al.  Regression Diagnostics: Identifying Influential Data and Sources of Collinearity , 1980 .

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

[25]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[26]  T. Winzenberg,et al.  Dual energy X-ray absorptiometry. , 2011, Australian family physician.

[27]  D. Rubin,et al.  Imputation and multiple imputation , 2009 .

[28]  Ofer Harel,et al.  Inferences on missing information under multiple imputation and two-stage multiple imputation , 2007 .

[29]  Jill M. Montaquila,et al.  Reducing the Risk of Data Disclosure Through Area Masking : Limiting Biases in Variance Estimation , 2006 .

[30]  J. Schafer,et al.  Multiple Imputation in Two Stages , 2003 .

[31]  Michael Witt,et al.  SUDAAN language manual, release 9.0: , 2003 .

[32]  T. Raghunathan SHOULD IMPUTATION OF MISSING DATA CONDITION ON ALL OBSERVED VARIABLES? , 2002 .

[33]  D. Rubin,et al.  MULTIPLE IMPUTATIONS IN SAMPLE SURVEYS-A PHENOMENOLOGICAL BAYESIAN APPROACH TO NONRESPONSE , 2002 .

[34]  John Van Hoewyk,et al.  A multivariate technique for multiply imputing missing values using a sequence of regression models , 2001 .

[35]  H. Genant,et al.  Radiation exposure in bone mineral density assessment. , 1999, Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine.

[36]  H. Wahner,et al.  The evaluation of osteoporosis : dual energy x-ray absorptiometry in clinical practice , 1994 .

[37]  G. Box An analysis of transformations (with discussion) , 1964 .