One of the things that comes ups frequently in discussion is the difference between incident response, and incident handling. 
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That is the difference between Incident Response, and Incident Handling.  Incident Response is all of the technical components required in order to analyze and contain an incident.  Incident Handling is the logistics, communications, coordination, and planning functions needed in order to resolve an incident in a calm and efficient manner. Yes, there are people who can fulfill either role, but typically not at the same time. The worse things get, the greater the requirement for the two different roles becomes.
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