In this type of estimation, estimates from a closed project are used to determine the estimates for the new project. For example, if your

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organization has designed and developed an Intranet for a company, you could use the same estimates for the design and development of an intranet for another company.
The accuracy of analogous estimates is dependent on the similarities between the two projects.
Parametric Estimation leverages software that takes historical information as the input, makes assumptions, and then extrapolates the information to compute the overall cost estimates. The accuracy of Parametric Estimation is dependent on the assumptions made!
PMP Update: In the Project Management Book of Knowledge (PMBOK) version 3, Parametric Estimation was a separate tool. However, with the advent of PMBOK version 4, Parametric Estimation has been clubbed with Analogous Estimation.