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Table 1 Data from a hypothetical cohort study with multifactorial selection in exposure (E) originating from C (known source) and U (unknown source; Fig. 2C). The relative effect of E on the disease outcome D is constant across strata of C and U (RRED = 2.0). U influences the effect of C on D (RRCD = 1.5 when U = 0 but 4.0 when U = 1). Lack of adjustment for U therefore leads to bias in the estimated exposure effect also when C is adjusted for. Stratification for C may lead to false conclusions regarding the heterogeneity in the exposure effect

From: A novel framework for classification of selection processes in epidemiological research

U

C

E

D = 1, n

D = 0, n

Risk

RRED1

RRCD2

0

0

E = 1

20

80

20%

  
  

E = 0

90

810

10%

2.0

 
 

1

E = 1

90

210

30%

 

1.5

  

E = 0

105

595

15%

2.0

1.5

1

0

E = 1

40

160

20%

  
  

E = 0

80

720

10%

2.0

 
 

1

E = 1

400

100

80%

 

4.0

  

E = 0

200

300

40%

2.0

4.0

Totals

 

E = 1

550

550

50%

  
  

E = 0

475

2425

16%

2.32

 
 

0

E = 1

60

240

20%

  
  

E = 0

170

1530

10%

2.0

 
 

1

E = 1

490

310

61%

  
  

E = 0

305

895

25%

2.41

 
  1. 1 Relative risk among exposed (E = 1) vs. unexposed (E = 0) across strata of C and U, overall and across strata of C
  2. 2 Relative risk among C-positive (C = 1) vs. C-negative (C = 0) across strata of E and U