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Table 2 Attenuation factor estimates (with standard error) from the two approaches and regression calibrated odds ratio2: Bivariate logistic regression model; ARIC (1987–1998)1

From: Measurement error adjustment in essential fatty acid intake from a food frequency questionnaire: alternative approaches and methods

Fatty acid groups and ratios j 3

External validation with biomarkers (M/N)

Internal repeat measurements (Q2/Q3)

 

Attenuation factor λ ^ j MathType@MTEF@5@5@+=feaafiart1ev1aqatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacuWF7oaBgaqcamaaBaaaleaacqWGQbGAaeqaaaaa@3001@

Standard error (SE λ ^ j MathType@MTEF@5@5@+=feaafiart1ev1aqatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacuWF7oaBgaqcamaaBaaaleaacqWGQbGAaeqaaaaa@3001@ )

RCAL odds ratio (95% CI)2

Attenuation factor λ ^ j MathType@MTEF@5@5@+=feaafiart1ev1aqatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacuWF7oaBgaqcamaaBaaaleaacqWGQbGAaeqaaaaa@3001@

Standard error (SE λ ^ j MathType@MTEF@5@5@+=feaafiart1ev1aqatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacuWF7oaBgaqcamaaBaaaleaacqWGQbGAaeqaaaaa@3001@ )

RCAL odds ratio (95% CI)2

6p

0.230

(0.020)

20.3 (11.8, 35.0)

0.605

(0.031)

3.1 (2.7, 3.7)

3p

0.090

(0.022)

>100

0.456

(0.033)

4.6 (3.5, 5.9)

6H

0.046

(0.028)

>100

0.653

(0.027)

2.9 (2.6, 3.2)

3H

0.408

(0.020)

5.5 (4.5, 6.6)

0.717

(0.025)

2.6 (2.4, 2.9)

6

0.269

(0.020)

13.1 (8.8, 19.7)

0.603

(0.031)

3.2 (2.7, 3.7)

3

0.353

(0.021)

7.1 (5.5, 9.2)

0.632

(0.027)

3.0 (2.6, 3.4)

3p/6p

0.251

(0.021)

15.8 (9.8, 25.6)

0.588

(0.031)

3.2 (2.8, 3.8)

3H/6H

0.426

(0.020)

5.1 (4.3, 6,1)

0.655

(0.028)

2.9 (2.5, 3.2)

3/6

0.401

(0.021)

5.6 (4.6, 6.9)

0.655

(0.024)

2.9 (2.6, 3.2)

  1. 1 Q1: Food frequency questionnaire measurement at visit 1 of fatty acid group intake as % of energy intake or ratio of n-3 to n-6 groups. M: biomarker of fatty acid intake in cholesteryl ester fraction of plasma; N: biomarker of fatty acid intake in phospholipids fraction of plasma; Q2: Repeat of Q1 measured at visit 2 among a subset of the cohort; Q3: Repeat of Q1 measured at visit 3 among the surviving baseline cohort. RCAL: regression calibrated estimate.
  2. 2 Naïve odds ratio assumed to be equal to 2.00 (1.64, 2.43), with Loge(odds rationaive) = β naive = 0.693 with a SE(β naive) = 0.100, in the following bivariate model: E( Y | Q j ) = β ^ 0 + β ^ (naïve, j) Q j MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqqGfbqrcqqGOaakcqWGzbqwcqqG8baFcqWGrbqudaWgaaWcbaGaemOAaOgabeaakiabbMcaPGGaaiab=1da9GGaciqb+j7aIzaajaWaaSbaaSqaaiabbcdaWaqabaGccqWFRaWkcuGFYoGygaqcamaaBaaaleaacqqGOaakcqqGUbGBcqqGHbqycqqGVdW7cqqG2bGDcqqGLbqzcqqGSaalcqqGGaaicqqGQbGAcqqGPaqkaeqaaOGaemyuae1aaSbaaSqaaiabdQgaQbqabaaaaa@4AB8@ . The odds ratio is for any binary outcome (0,1) vs. fatty acid exposure expressed as a z-score (increase in odds of outcome for each 1 SD in fatty acid exposure). Refer to Eq. 4.1–4.4.
  3. 3 See table 2.