In mental rotation, homosexual men were somewhat in-between heterosexual men and women. There was no significant group difference on spatial location memory. Homosexual men were also sex atypical on male-favoring spatial-related tasks and female-favoring spatial-related tasks. Homosexual women tended to be sex-typical (similar to heterosexual women).

Xu, Yin, Sam Norton, and Qazi Rahman 2017. “Sexual Orientation and Cognitive Ability: A Multivariate Meta-analytic Follow-up”. PsyArXiv. September 25. psyarxiv.com/chg2r

Abstract: A cross-sex shift model of human sexual orientation differences predicts that homosexual men should perform or score in the direction of heterosexual women, and homosexual women in the direction of heterosexual men, in behavioral domains such as cognition and personality. In order to test whether homosexual men and women’s cognitive performance was closer to that of heterosexual men or that of heterosexual women (i.e., sex atypical for their sex), we conducted a multivariate meta-analysis based on data from our previous meta-analysis (Xu, Norton, & Rahman, 2017). A subset of this data was used and comprised a total of 49 samples and 251,393 participants. The multivariate meta-analysis revealed that homosexual men were indeed sex-atypical in mental rotation (Hedges’ g = -0.36) and the Water Level Test (Hedges’ g = -0.55). In mental rotation, homosexual men were somewhat in-between heterosexual men and women. There was no significant group difference on spatial location memory. Homosexual men were also sex atypical on male-favoring spatial-related tasks (Hedges’ g = -0.54), and female-favoring spatial-related tasks (Hedges’ g = 0.38). Homosexual women tended to be sex-typical (similar to heterosexual women). There were no significant group differences on male-favoring other tasks or female-favoring verbal-related tasks. Heterosexual men and women differed significantly on female-favoring other tasks. These results support the cross-sex shift hypothesis which predicts that homosexual men perform in the direction of heterosexual women in sex differentiated cognitive domains. However, the type of task and cognitive domain tested is critical.