Fraser Gary E, Yan Ru, Butler Terry L, Jaceldo-Siegl Karen, Beeson W Lawrence, Chan Jacqueline
Department of Epidemiology and Biostatistics, Loma Linda University, Loma Linda, CA, USA.
Epidemiology. 2009 Mar;20(2):289-94. doi: 10.1097/EDE.0b013e31819642c4.
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.
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.
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.
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.
缺失数据是营养流行病学中的常见问题。人们对这些缺失数据的特征知之甚少,这使得进行适当的插补变得困难。
我们从基督复临安息日会健康研究2队列中随机拨打了20%(n = 2091)受试者的电话,这些受试者的饮食问卷中有80个关键变量缺失。我们能够获得92%的缺失变量的回复。
我们发现,在最初缺失的已填补数据中,“零”摄入量始终过多。然而,对于经常食用的食物,大多数缺失数据并非零,而且这些数据通常与非零数据的随机样本没有区别。年龄较大、黑人以及受教育程度较低的受试者有更多的缺失数据。在年龄较大的受试者和缺失数据较多的受试者中,缺失数据更有可能是真正的零值。对缺失数据进行零插补除了对经常食用的食物外可能不会产生太大偏差,在这种情况下,如果缺失率超过5%-10%,零插补将不是最优的。
虽然一些缺失数据代表真正的零值,但其中许多并非如此,而且数据通常并非随机缺失。对缺失数据自动进行零插补通常是不正确的,尽管除非食物经常被食用,否则偏差很小。某些可识别的亚组有更多的缺失数据,在进行插补时需要格外小心。