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. Author manuscript; available in PMC: 2016 Nov 30.
Published in final edited form as: Stat Med. 2015 Jul 14;34(27):3590–3605. doi: 10.1002/sim.6577

Table 5.

Estimates of attenuation factors and correlations with truth for the time-varying and fixed-intake models without covariates (standard errors in parentheses): protein intake among women

Time-varying intake model Fixed-intake model

Instrument Study Attenuation Factor Correlation with Truth Attenuation Factor Correlation with Truth
FFQa 1 0.161 (0.045) 0.302 (0.085) 0.139 (0.039) 0.291 (0.080)
2 0.039 (0.056) 0.069 (0.099) 0.031 (0.047) 0.057 (0.086)
3 0.168 (0.043) 0.288 (0.072) 0.187 (0.047) 0.292 (0.071)
4 0.231 (0.032) 0.410 (0.054) 0.218 (0.031) 0.424 (0.056)
5 0.188 (0.028) 0.397 (0.058) 0.186 (0.028) 0.398 (0.057)
Weighted Mean 0.180 (0.017) 0.336 (0.032) 0.169 (0.016) 0.329 (0.030)
pd 0.052 0.029 0.015 0.005
1 × 24HRb 1 0.137 (0.038) 0.241 (0.065) 0.121 (0.034) 0.238 (0.063)
2 0.179 (0.032) 0.311 (0.049) 0.189 (0.035) 0.337 (0.056)
3 0.194 (0.024) 0.348 (0.040) 0.283 (0.032) 0.466 (0.042)
4 0.304 (0.039) 0.531 (0.071) 0.304 (0.040) 0.584 (0.076)
5 0.207 (0.025) 0.341 (0.039) 0.229 (0.027) 0.381 (0.040)
Weighted Mean 0.201 (0.015) 0.340 (0.025) 0.222 (0.015) 0.397 (0.023)
p 0.029 0.036 0.002 0.002
4 × 24HRc 1 0.295 (0.072) 0.354 (0.087) 0.282 (0.078) 0.363 (0.094)
2 0.330 (0.053) 0.422 (0.061) 0.375 (0.065) 0.475 (0.074)
3 0.365 (0.040) 0.477 (0.049) 0.561 (0.057) 0.657 (0.051)
4 0.456 (0.053) 0.650 (0.064) 0.565 (0.079) 0.797 (0.090)
5 0.389 (0.039) 0.468 (0.047) 0.472 (0.053) 0.547 (0.055)
Weighted Mean 0.376 (0.026) 0.476 (0.031) 0.463 (0.029) 0.580 (0.030)
p 0.264 0.022 0.019 0.003
a

Food frequency questionnaire

b

Single 24-hour recall

c

Average of 4 repeats of a 24-hour recall

d

p-value for heterogeneity across studies