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The strategy used for testing a software system should not be fixed, because as time goes on we may have a better understanding of the software under test. A solution to this problem is to introduce control theory into software testing. We can use adaptive testing where the testing strategy is adjusted on-line by using the data collected during testing. Since the use of software components in software development is increasing, it is now more important than ever to adopt a good strategy for testing software components. In this paper, we use an adaptive testing strategy for testing software components. This strategy (AT_RLSEc with c indicating components) applies a recursive least squares estimation (RLSE) method to estimate parameters such as failure detection rate. It is different from the genetic algorithm-based adaptive testing (AT_GA) where a genetic algorithm is used for parameter estimation. Experimental data from our case study suggest that the fault detection effectiveness of AT_RLSEc is better than that of AT_GA and random testing.