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Does that statistic include people diagnosed as a consequence of interaction with the criminal justice system? I feel like that would skew things if there are lots of harmless-and-therefore-undiagnosed schizophrenics
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The simplest way to back it out is to compare the prevalence of schizophrenia in the general population to its prevalence among people convicted of murder. There are pretty big error bars on both figures but the last time I tried to estimate it I got about 6x. Could be higher.
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Lots of confounding factors -- the study I linked covers those diagnosed with a 'schizophrenia spectrum disorder' so the figure is probably too high, study is small, lots of 'it depends what you mean by'...but general population rate is 0.3%-1%.
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Here's another study that found a similar result for general violent crimes. https://www.ncbi.nlm.nih.gov/pubmed/25065575
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.