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A three-part regression calibration to handle excess zeroes, skewness and heteroscedasticity in adjusting for measurement error in dietary intake data
Journal of Applied Statistics ( IF 1.5 ) Pub Date : 2020-11-13 , DOI: 10.1080/02664763.2020.1845622
George O Agogo 1, 2 , Alexander K Muoka 3, 4
Affiliation  

ABSTRACT

Exposure measurement error (ME) biases exposure-outcome associations. Calibration dietary intake data used in the regression calibration (RC) response to adjust for ME are usually right-skewed, heteroscedastic and with excess zeroes. We proposed three-part RC models to handle these distributional complexities simultaneously, while correcting for ME in fish intake. We applied data from the National Health and Nutrition Examination Survey (NHANES), where long-term intake was measured with food frequency questionnaire (FFQ) in the main study and short-term intake with 24-hour recall (24HR) in the calibration study. In the three-part RC models, never consumers were modelled using two approaches: a zero distribution (Three-part RC-het-det), and logistic distribution (Three-part RC-het-prob); heteroscedasticity using an exponential distribution and right-skewness using generalized gamma distribution. The proposed models were compared with two-part RC model that ignores never consumers, and with methods that estimate intakes using FFQ and 24HR. The models were evaluated in a simulation study. With NHANES data, mean increase in the mercury level (in μg/L) was 1.20 using FFQ-method, 0.4 using 24HR-method, 1.87 using two-part RC and 2.02 using three-part RC-het-prob method. The three-part RC estimated the association with the least bias in the simulation study.



中文翻译:

在调整膳食摄入数据中的测量误差时处理多余零点、偏度和异方差的三部分回归校准

摘要

暴露测量误差 (ME) 偏向暴露-结果关联。用于调整 ME 的回归校准 (RC) 响应中使用的校准膳食摄入数据通常是右偏的、异方差的并且具有过多的零。我们提出了三部分 RC 模型来同时处理这些分布复杂性,同时校正鱼类摄入量中的 ME。我们应用了来自全国健康和营养检查调查 (NHANES) 的数据,在主要研究中使用食物频率问卷 (FFQ) 测量长期摄入量,在校准研究中使用 24 小时回忆 (24HR) 测量短期摄入量. 在三部分 RC 模型中,从未使用两种方法对消费者进行建模:零分布(三部分 RC-het-det)和逻辑分布(三部分 RC-het-prob);使用指数分布的异方差性和使用广义伽马分布的右偏度。将提出的模型与忽略消费者的两部分 RC 模型以及使用 FFQ 和 24HR 估计摄入量的方法进行了比较。在模拟研究中对模型进行了评估。使用 NHANES 数据,平均增加的汞水平(在μG/大号) 使用 FFQ 方法为 1.20,使用 24HR 方法为 0.4,使用两部分 RC 为 1.87,使用三部分 RC-het-prob 方法为 2.02。由三部分组成的 RC 估计了模拟研究中偏差最小的关联。

更新日期:2020-11-13
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