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. 2022 Apr 11;20:106. doi: 10.1186/s12916-022-02314-3

Table 2.

MR-CAUSE analysis associating the liability for one standard deviation increase in attained educational level, household income, Townsend deprivation index, and intelligence with the odds of ADHD

Model 1a Model 2a Δ ELPDb s.e. Δ ELPD z-score p-value
Education (SNPs=3733)
 Null Sharing −120.0 13 −8.7 2.0e−18
 Null Causal −120.0 14 −8.6 3.0e−18
 Sharing Causal −7.3 1.2 −6.2 2.1e−10
Income (SNPs =73)
 Null Sharing −3.6 1.5 −2.5 0.007
 Null Causal −9.7 3.4 −2.9 0.0022
 Sharing Causal −6.1 2.1 −3.0 0.0015
TDI (SNPs =27)
 Null Sharing −0.31 0.45 −0.70 0.24
 Null Causal −1.60 2.2 −0.74 0.23
 Sharing Causal −1.30 1.8 −0.73 0.23
Intelligence (SNPs=2945)
 Null Sharing −25.0 5.7 −4.4 5.5e−06
 Null Causal −31.0 7.1 −4.4 5.2e−06
 Sharing Causal −5.9 1.4 −4.1 1.8e−05

aModel 1 and Model 2 refer to the models being compared (null, sharing, or causal)

bModel fit is measured by Δ Expected Log Pointwise Posterior Density (ELPD); Negative values indicate that model 2 is a better fit