Abstract
Differences in the patterning of genetic sharing between groups of individuals may arise from biological pathways, social mechanisms, phenotyping and ascertainment. We expand genomic structural equation modeling to allow for testing genomic structural invariance (GSI), that is, the formal comparison of multivariate genetic architecture across groups. We apply GSI to compare the autosomal multivariate genetic architecture of eight psychiatric disorders spanning three factors (psychotic, neurodevelopmental and internalizing) between cisgender males and females. We find that the genetic factor structure is largely similar across sex, permitting meaningful comparisons of associations at the level of the factors. However, in females, problematic alcohol use and posttraumatic stress disorder loaded more strongly on the internalizing factor, while the neurodevelopmental disorder factor exhibited weaker genetic correlations with the other factors. Four phenotypes (educational attainment, insomnia, smoking and deprivation) showed significant, albeit small, sex-differentiated associations with the psychotic factor. As genome-wide association study samples grow and diversify, GSI will become increasingly valuable for comparing multivariate genetic architecture across groups.
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Data availability
Disorder-level summary statistics from previously published GWAS can be found at the citations in Table 1. Factor-level, sex-stratified summary statistics and sex-stratified GWAS summary statistics for PTSD and alcohol problems produced for this study are available at https://osf.io/spg7f/ (ref. 59); see the Supplementary Note for complete information on these phenotypes. The sex-stratified eight-disorder LDSC object that can be used to reproduce the results is available at https://osf.io/pd4fx (ref. 59).
Code availability
A tutorial for conducting GSI analyses and estimating localSRMD is available at https://rpubs.com/tedooooooooooo/localsrmd (ref. 59). The R code for all genomic SEM analyses can be found at https://osf.io/wya8p (ref. 59).
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Acknowledgements
This work was supported by a National Institutes of Health (NIH) grant no. R01MH120219. E.M.T.-D. is a faculty associate of the Population Research Center and the Center on Aging and Population Sciences at the University of Texas at Austin, which are supported by NIH grant nos. P2CHD042849 and P30AG066614, respectively.
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T.S. and E.M.T.-D. designed the study and wrote the manuscript. T.S. conducted the multivariate analyses. T.T.M. and A.X.M. contributed new genome-wide analyses. T.S., E.M.T.-D., M.R. and M.G.N. conceptualized the statistical tests. L.K.D. consulted on the role of sex as a biological variable. T.T.M., A.X.M., M.R., P.H.L., J.W.S., L.K.D., M.G.N. and A.D.G. provided manuscript feedback and editing.
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Supplementary localSRMD guide, Figs. 1–15 and Discussion.
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Schwaba, T., Mallard, T.T., Maihofer, A.X. et al. Comparison of the multivariate genetic architecture of eight major psychiatric disorders across sex. Nat Genet 57, 583–590 (2025). https://doi.org/10.1038/s41588-025-02093-6
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DOI: https://doi.org/10.1038/s41588-025-02093-6