@boxiangliu
@boxiangliu
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5) The inflation can be corrected by using the noncentral χ2 distribution with noncentrality parameter N h2δ Φ, where the factor Φ can be pre-calculated independent of the GWAS
5) The inflation can be corrected by using the noncentral χ2 distribution with noncentrality parameter N h2δ Φ, where the factor Φ can be pre-calculated independent of the GWAS
3) Uncertainty in the prediction of the mediator reduces the power of the test
3) Uncertainty in the prediction of the mediator reduces the power of the test
1) Polygenicity of the target trait induces inflation in the test statistics regardless of the genetic architecture of the mediating trait
1) Polygenicity of the target trait induces inflation in the test statistics regardless of the genetic architecture of the mediating trait
Yes
What if we use PRS of GWAS traits to correlate with target traits? Is this going to be inflated?
Yes. You need to estimate Φ and use the noncentral χ2 distribution
Yes
What if we use PRS of GWAS traits to correlate with target traits? Is this going to be inflated?
Yes. You need to estimate Φ and use the noncentral χ2 distribution
Precision of prediction improves power, or equivalently prediction error reduces power but doesn’t increase inflation under the null
Precision of prediction improves power, or equivalently prediction error reduces power but doesn’t increase inflation under the null
Pretty well
Pretty well
See figure for formula under the alternative
τ2 is the precision of the prediction
See figure for formula under the alternative
τ2 is the precision of the prediction
Yes
See figure: most of the Φ are around 10e-5
Yes
See figure: most of the Φ are around 10e-5