Statistical methods for estimating usual intake of nutrients and foods: a review of the theory.

By K. Dodd, P. Guenther, L. Freedman, A. Subar, V. Kipnis, D. Midthune, Janet Tooze, S. Krebs-Smith. Journal of the American Dietetic Association, 2006

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Americans do not meet federal dietary recommendations. (2010, background): “Employing 24 HR to estimate prevalence first requires estimating the distribution of usual food intakes, something that has eluded the field of dietary assessment for decades (2,5,8,9).”
Estimation of total usual calcium and vitamin D intakes in the United States. (2010, background): “(17) to the individual’s mean residual to construct a smaller set (one per individual) of representative values”
Update on NHANES Dietary Data: Focus on Collection, Release, Analytical Considerations, and Uses to Inform Public Policy (2016, methodology): “A key component to these methodologic advances is a shift in focus; rather than attempting to estimate usual intake at the individual level, the goal is to estimate distributions of usual intake or regression parameters relating usual intake to health outcomes, where statistical modeling can be perf”
A new statistical method for estimating the usual intake of episodically consumed foods with application to their distribution. (2006, methodology): “It adds an djustment term to make the mean of the back-transormed variable match the mean on the original scale as escribed by Dodd and colleagues (1).”