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All analyses were derived using census counties.

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Data analyses and plots were derived using the R statistical package (R Development Core Team 2008).

For the purposes of analyses, BMI Z-scores were derived using the WHO reference (World Health Organization, 2009).

For tumor-based analyses, RRs (95% CI) were derived using generalised linear models with negative binomial distribution.

The comparative molecular field analyses (CoMFA) and comparative molecular similarity indices analyses (CoMSIA) based 3D-QSAR models were derived using pharmacophore-based alignment.

Survival curves were derived using Kaplan Meier analyses and comparisons performed using log-rank tests.

The relationships between (1) overnight urinary aMT6s/Cr and (2) total urinary overnight 8-oxodG and 8-oxoGua were derived using regression analyses, with age and BMI (or weight) as the covariates.

These algorithms were derived using multivariate logistic regression analyses including the most predictive diagnostic codes for these outcomes.

The socioeconomic status used to analyse the data was derived using asset index.

Fragility functions, which define the probability exceeding a performance state at a given set of earthquake intensities, are derived using nonlinear time history analyses of typical highway bridges (conventionally designed or base-isolated) subject to a suite of 250 earthquake motions.

19 The apparent Somer's D (Dapp) was derived using stepwise Cox proportional analyses.

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