This paper presents an efficient methodology to on-line test field programmable analog array (FPAA) circuits. It proposes to partition the FPAA circuit under test into sub circuits. Each sub circuit is tested by replicating the sub circuit with programmable resources on FPAAs, and comparing the outputs of the the original partitioned sub circuit and its replicaton. The advantages of this approach includes: low implementation cost, enhanced testability, and flexible testing schedules. This paper also presents circuit techniques to address stability problems which are often encountered in the proposed on-line testing approach. In addition, the impact of performing circuit partition on testability is investigated in this work. It shows that testability is generally improved in partitioned circuits. Finally, experimental results are presented to demonstrate the feasibility and effectiveness of the proposed techniques.