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Updated: Aug 25, 2025

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Estimation of Urinary Nanocrystals in Humans using Calcium Fluorophore Labeling and Nanoparticle Tracking Analysis
Published on: February 9, 2021
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Optimal method for determining the intraclass correlation coefficients of urinary biomarkers such as
Yukiko Nishihama1, Yonghang Lai1, Tomohiko Isobe1
1Japan Environment and Children's Study Programme Office, Health and Environmental Risk Division, National Institute for Environmental Studies, 16-2 Onogawa, Tsukuba, Ibaraki 305-8506, Japan.
Environment International
|October 13, 2022
Summary
Evaluating urinary biomarker reliability is crucial for accurate exposure assessment. The Gibbs sampler method best imputes censored data, though higher censoring rates decrease reliability indices like the intraclass correlation coefficient (ICC).
Area of Science:
- Environmental Epidemiology
- Biomarker Validation
- Statistical Methods
Background:
- Urinary biomarkers are vital in epidemiological studies for assessing chemical exposure.
- Reliability of these biomarkers is critical to prevent misclassification and bias.
- Standardized methods for calculating reliability, such as the intraclass correlation coefficient (ICC), for urinary biomarkers are lacking.
Purpose of the Study:
- To evaluate different imputation methods for left-censored urinary biomarker data before calculating ICCs.
- To assess the impact of the left-censoring proportion on estimated ICCs.
- To propose a method for estimating true ICCs.
Main Methods:
- Comparison of five methods for handling left-censored data: Gibbs sampler imputation, univariate distribution fitting, multiple imputation by chained equation, bootstrap expectation-maximization, and single value substitution.
- Calculation of ICCs using these imputation methods.
- Mathematical assessment of the relationship between censoring proportion and ICC.
- Organophosphate pesticide metabolites (dialkylphosphates) were used as example biomarkers.
Main Results:
- The Gibbs sampler-based imputation method demonstrated superior performance for values below reporting limits, indicated by lower Kolmogorov-Smirnov test statistics.
- Across all tested imputation methods, the estimated ICCs decreased as the proportion of left-censored data increased.
- The performance of imputation methods varied, with Gibbs sampling showing the best imputation quality.
Conclusions:
- The Gibbs sampler approach is recommended for imputing left-censored urinary biomarker data.
- Increased censoring rates significantly attenuate ICC estimates, highlighting the need for robust imputation strategies.
- A mathematical method is proposed to estimate true ICCs, accounting for censoring effects.

