
DarkStar
ᛟCannibalMentalcelϟϟ
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This 2014 study analyzed 100'000 clumped SNPs, finding that around 50 SNPs overlap substantially between that of height & schizophrenia. Interestingly, the estimated number for this was only around 21, meaning that the results were 2x higher than the prediction.
pmc.ncbi.nlm.nih.gov
Furthermore, this study found over 100 genes which are heavily associated with that of schizophrenia & height.
Seemingly, the study also found this out:
www.medrxiv.org
Which further correlates & ties into this:
The number of suggestive SNPs in the overlap of the two traits was 51 when the expected number under a random sharing was estimated to be 21.32.
The number of clumped SNPs in the overlap, as obtained using NIEHS tag SNPs (see Web Resources), was estimated to be 9. Assuming a Poisson distribution for the number of overlap clumped SNPs, the observed number (9) is significantly larger (p = 2.6 × 10−4) than the number expected (2.03)
The genetic overlap between schizophrenia and height - PMC
Epidemiological studies suggest that height and schizophrenia risk are inversely correlated. These findings might arise because i) height and schizophrenia share genetic variants and ii) the effects of these shared variants are in opposite direction ...

Furthermore, this study found over 100 genes which are heavily associated with that of schizophrenia & height.
The study also found strong correlations with nine genomic regions, with also a shared "genetic signal" within the 6 MHC-regions which was partially found to be explained by a genetic overlap with that of lymphocytes.(55% sign-concordant) and 142 genes statistically associated with both SCZ and height.
Seemingly, the study also found this out:
An epidemiological study by Zammit et al on 1.3 million Swedish males reported a 15% increase in schizophrenia (SCZ) prevalence in males of below-average height1.

Genetic overlap between schizophrenia and height implicates pituitary and immune response
Shorter stature has been phenotypically linked to increased prevalence of schizophrenia (SCZ)[1][1]. Using genome-wide genetic data, we studied the SCZ-height relationship on a genetic level. We identified 22 independent lead SNPs (55% sign-concordant) and 142 genes statistically associated with...
Which further correlates & ties into this:
Tall subjects had an approximately 15% reduction in risk compared with short subjects (adjusted HR = 0.85, 95% CI: 0.80-0.92).