In this paper, algorithmic approaches to enhance damage detection and model refinement capability are developed for cases in which experimental data from multiple tests are available. The tests may include both multiple vibration tests and multiple static load tests. The use of multitest measurements are shown to be one method to address a part of the incomplete measurement problem common to system health monitoring and model refinement, namely, the mismatch in the number of measured vibration modes in comparison to the number of modes included in the analytical finite element model. Key points made in the development will be highlighted using numerical experiments.