"prove effectiveness" is correct and usable in written English.
You can use it when you want to express the idea that you need to demonstrate that something is effective. For example: "We need to prove effectiveness of the new marketing strategy before we can move forward."
Simulation results prove effectiveness of proposed control system.
The exemption allows approval for some medical devices affecting 4,000 or fewer people without having to prove effectiveness if the F.D.A. determines benefits probably outweigh the risks.
To prove effectiveness and accuracy of our novel technique, results from real data in conventional and complex geological basins are discussed.
The performance of our algorithm has been extensively analyzed using several real-life databases based on runtime and memory consumption and compared with existing state-of-the-arts approach to prove effectiveness of the algorithm with respect to required processing time and memory consumption.
However, obesity treatments remain controversial, and only surgical therapies have patient volume and appropriate follow-up adequate to prove effectiveness.
Validation and quantification of these processes will require the development of performance measures that reflect the needs of this population, and research to prove effectiveness.
For example, medications contain lists of known "active ingredients," which have proven effectiveness separate from effects of the compounded product.
To qualify, drugs must have "proven effectiveness".
That means Phase 2 trials have proven effectiveness on humans.
The experimental result proves effectiveness and robustness of the proposed methodology.
People in the United States spend about $1 billion a year on herbal formulas and other supplements that advertise fast weight loss but have no proven effectiveness and can be dangerous.
