The SWAMID Policy defines an Identity Assurance Profile this way:
An Assurance Profile describes levels of trust in claims and organizations. An Assurance Profile allows a Relying Party (also known as a Service Provider) to determine the degree of certainty that the identity of a Subject presenting a Claim of identity is truly represented by the presented claim. This degree of certainty is represented by a commonly agreed-upon "Level of Assurance". Identity assurance is to a large extent independent of the technology used to convey Claims of identity.
Levels of Assurance
Form more information on assurance profiles go to SWAMID Identity Assurance.