magfrump comments on Cognitive Style Tends To Predict Religious Conviction (psychcentral.com) - Less Wrong Discussion
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Presumably the study showed that the analytic thinking effect was independent of the IQ effect; i.e. holding the level of IQ constant, one still sees the connection between analytic versus intuitive thinking and religiosity, versus a correlation between IQ and analytic thinking causing the entire effect to be the same. (I haven't read the study this is just what I interpreted that quote to mean)