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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 4.

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 men

Time-varying intake model Fixed-intake model

Instrument Study Attenuation Factor Correlation with Truth Attenuation Factor Correlation with Truth
FFQa 1 0.158 (0.033) 0.338 (0.069) 0.166 (0.035) 0.337 (0.067)
2 0.160 (0.082) 0.249 (0.126) 0.146 (0.071) 0.240 (0.114)
3 0.178 (0.050) 0.269 (0.074) 0.184 (0.049) 0.271 (0.069)
Weighted Mean 0.163 (0.026) 0.298 (0.047) 0.168 (0.026) 0.295 (0.045)
pd 0.944 0.721 0.899 0.693
1 × 24HRb 1 0.192 (0.032) 0.380 (0.058) 0.196 (0.032) 0.367 (0.055)
2 0.058 (0.037) 0.118 (0.074) 0.069 (0.039) 0.149 (0.084)
3 0.246 (0.030) 0.415 (0.046) 0.302 (0.031) 0.494 (0.039)
Weighted Mean 0.182 (0.019) 0.355 (0.032) 0.207 (0.019) 0.413 (0.030)
p < 0.001 0.001 < 0.001 < 0.001
4 × 24HRc 1 0.327 (0.047) 0.495 (0.067) 0.364 (0.059) 0.500 (0.071)
2 0.115 (0.072) 0.166 (0.103) 0.138 (0.078) 0.211 (0.117)
3 0.452 (0.047) 0.562 (0.054) 0.593 (0.052) 0.692 (0.046)
Weighted Mean 0.344 (0.033) 0.491 (0.047) 0.423 (0.035) 0.594 (0.037)
p < 0.001 0.002 < 0.001 < 0.001
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