title: Missing data in a long food frequency questionnaire: are imputed zeroes correct?
abstract: BACKGROUND
  Missing data are a common problem in nutritional epidemiology. Little is known of the characteristics of these missing data, which makes it difficult to conduct appropriate imputation.
  
  
  METHODS
  We telephoned, at random, 20% of subjects (n = 2091) from the Adventist Health Study-2 cohort who had any of 80 key variables missing from a dietary questionnaire. We were able to obtain responses for 92% of the missing variables.
  
  
  RESULTS
  We found a consistent excess of "zero" intakes in the filled-in data that were initially missing. However, for frequently consumed foods, most missing data were not zero, and these were usually not distinguishable from a random sample of nonzero data. Older, black, and less-well-educated subjects had more missing data. Missing data are more likely to be true zeroes in older subjects and those with more missing data. Zero imputation for missing data may create little bias except for more frequently consumed foods, in which case, zero imputation will be suboptimal if there is more than 5%-10% missing.
  
  
  CONCLUSIONS
  Although some missing data represent true zeroes, much of it does not, and data are usually not missing at random. Automatic imputation of zeroes for missing data will usually be incorrect, although there is [corrected] little bias unless the foods are frequently consumed. Certain identifiable subgroups have greater amounts of missing data, and require greater care in making imputations.
authors.affiliation: Department of Epidemiology and Biostatistics, Loma Linda University, Loma Linda, CA, USA. gfraser@llu.edu
authors.forename: Gary E
authors.initials: GE
authors.lastname: Fraser
authors.forename: Ru
authors.initials: R
authors.lastname: Yan
authors.forename: Terry L
authors.initials: TL
authors.lastname: Butler
authors.forename: Karen
authors.initials: K
authors.lastname: Jaceldo-Siegl
authors.forename: W Lawrence
authors.initials: WL
authors.lastname: Beeson
authors.forename: Jacqueline
authors.initials: J
authors.lastname: Chan
mesh_terms: D000368:Aged; D000369:Aged, 80 and over; D000465:Algorithms; D015982:Bias; D004032:Diet / Q000706:statistics & numerical data; D004034:Diet Surveys; D016021:Epidemiologic Studies; D005260:Female; D006801:Humans; D016014:Linear Models; D008297:Male; D008875:Middle Aged; D015596:Nutrition Assessment; D011795:Surveys and Questionnaires / Q000592:standards; D014481:United States