On average we found only 54 genes per tissue (0.2 %), which showed significant correlation of gene expression with PMI (FDR < 1 %)(Fig. 3a, Supplementary Table 6), compared to 6919 genes per tissue (39.3 %), if using the same model
without covariates.
To compute the correlation values of gene expression and PMI
without the covariates, a procedure similar to the above was used where Pearson correlation is obtained between gene expression and PMI values (Supplementary Fig. 38).
The corresponding 2SLS estimate of ρ using a full set of offer × risk set dummies as instruments in a model
without covariates is 0.45.
Since the influence of the covariates was negligible, the models
without covariates are reported in order to provide reliable effect size estimates.
All covariates were examined for homogeneity of regressions.44 The results reported below are virtually identical for models both with and
without covariates.
In a simple model
without covariates, conduct problems also predicted ASD / AS, but this relationship became negative (β = − 0.55) when covariates were added (Supplemental Table 9).