So you get studies with
very confident titles like this:
Genome-wide association studies establish that human intelligence is highly heritable and polygenicThen you read the paper and you see:
A total of 3511 CAGES (2115 females) participants had DNA extracted...Individuals were excluded from this study based on unresolved gender discrepancy, relatedness, call rate (≤ 0.95), and evidence of non-Caucasian descent...
Analyses of individual SNPs and genes did not result in any replicable genome-wide significant association. A gene-based test for association27 showed one genome-wide significant association (P = 9.2 × 10−7), with formin-binding protein 1-like (FNBP1L) on gf (Supplementary Figure 7). This single genome-wide association result for FNBP1L did not replicate in the independent NCNG sample (P = 0.211, gene-based test)...
Despite the fact that no specific genetic variants have been robustly associated with human intelligence, apart perhaps for APOE at older ages34,35, our results show for the first time that a substantial proportion (approximately 40 to 50%) of variation in human intelligence is associated with common SNPs (Minor allele frequency (MAF) > 0.01) that are in LD with causal variants...
Only 1% (approximately) of the variance was explained in the prediction analysis due to the individual SNP effects being very small and therefore estimated with much error, which detracts to a great extent from the accuracy (8-11%) of the prediction equation30. Our finding that 40-50% of phenotypic variation is explained by all SNPs is fully consistent with the low precision of a predictor based upon a discovery sample of ~3,500 individuals; estimation of the SNPs’ effects is different from prediction accuracy.
So basically, what they did, was take a bunch of British people born in the 1920's (a time/place famous for its rigid inter-generational class history), and found that members of certain family trees (that's more or less what it means to be British and have similar SNP distributions) scored similarly on tests, despite the fact that there's no real model to express why.
That and twin studies (which also have their obvious limits) are about the extent of current "evidence" for inherited intellect. I'm willing to be proven wrong, but 'conclusive' is hardly how I would characterize the state of true evidence-based research.