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. Author manuscript; available in PMC: 2022 Oct 15.
Published in final edited form as: Stat Med. 2021 Jun 22;40(23):5006–5024. doi: 10.1002/sim.9108

TABLE 6.

Hazard ratio (HR) and 95% confidence interval (CI) estimates of incident diabetes for a 20% increase in consumption of energy (kcal/d), protein (g/d), and protein density (% energy from protein/d) based on the naive method ignoring error in the outcome and covariate, the regression calibration method that corrects for covariate error only, and the proposed method

Modela Method HR (95% CI)
Adjusted for BMIb Not adjusted for BMI
Energy (kcal/d) Naive 1.002 (0.986, 1.018) 1.024 (1.008, 1.040)
Regression calibration 1.041 (0.758, 1.429) 1.421 (1.043, 1.938)
Proposed 0.822 (0.512, 1.318) 1.189 (0.836, 1.692)

Protein (g/d) Naive 1.024 (1.010, 1.039) 1.051 (1.035, 1.066)
Regression calibration 1.121 (1.036, 1.213) 1.231 (1.130, 1.342)
Proposed 1.077 (0.978, 1.186) 1.241 (1.114, 1.384)

Protein Density Naive 1.100 (1.064, 1.137) 1.128 (1.091, 1.167)
Regression calibration 1.243 (1.125, 1.374) 1.325 (1.181, 1.486)
Proposed 1.266 (1.115, 1.436) 1.327 (1.183, 1.490)

Note: Here, sensitivity = 0.61, specificity = 0.995, and negative predictive value = 0.96.

a

Each model is adjusted for potential confounders and is stratified on age (10-year categories) and dietary modification trial or observational study cohort membership.

b

BMI = Body mass index (kg/m2).