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Table 1 Parameter values assumed in simulation studies. The models used for the generation of binary exposure X and binary outcome Y are respectively logit(P(X=1))=η0+η1C1+η2C2 and logit(P(Y=1))=γ0+γ1C1+γ2C2+βX, where confounders C1Bin(1,0.1) and C2Bin(1,0.6)

From: Meta-analysis under imbalance in measurement of confounders in cohort studies using only summary-level data

 

Exposure model

 

Outcome model

Setting

η0

η1

η2

 

γ0

γ1

γ2

β

I

\(\log \frac {0.5}{0.5}\)

2

2

 

\(\log \frac {0.3}{0.7}\)

2

2

log(1), log(3),log(1/3)

II

\(\log \frac {0.5}{0.5}\)

2

2

 

\(\log \frac {0.3}{0.7}\)

2

−2

log(1)

III

\(\log \frac {0.5}{0.5}\)

2

2

 

\(\log \frac {0.3}{0.7}\)

−2

−2

log(1)