DID has always been a dissociative disorder, even when it was called multiple personality disorder. Source: DSM-IV and ICD-10. The other dissociative disorders are: dissociative amnesia, dissociative fugue, depersonalization/realization and other specified dissociative disorder/dissociative disorder not otherwise specified. Source: DSM-5
It is also not a rare disorder, affecting 1-3% of the population - source: Guidelines for the treatment of Dissociative Identity Disorder, as found on http://isst-d.org - full link can be found on http://www.dissociative-identity-disorder.net/wiki/DID
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