"empirically demonstrates" is a correct and usable phrase in written English
It is often used in academic or scientific writing to describe a study or experiment that has provided evidence or proof for a certain claim or hypothesis. Example: The study empirically demonstrates the positive effects of exercise on mental health by comparing the pre- and post-test scores of participants' mood and stress levels.
Our study empirically demonstrates that many species shift habitats ontogenetically while others remained in the same habitats as they matured.
The literature on entrepreneurship also empirically demonstrates the link between attitudes and entrepreneurship behavior (Krueger & Carsrud, 1993; Lee, Chua and Chen, 2004; Goel, Zhang, and Arora, 2007).
This paper empirically demonstrates how the installation of different potable water saving measures would affect the design of urban water supply networks.
This study empirically demonstrates how the cutoff date and legal minimum age of school entry specified by the Compulsory Education Law has influenced the timing of school entry as well as adult outcomes.
In a mall shopping centre possessing restorative qualities, similar to natural settings, the study empirically demonstrates that shoppers who perceive restorative qualities hold favourable attitudes and exhibit positive behaviours towards the shopping centre.
Using the data on all live births (∼400,000) and criteria pollutants from the Chicago Metropolitan Statistical Area (MSA) between 2000 and 2004, this paper empirically demonstrates how mismatches in the spatiotemporal scales of health and air pollution data can result in inconsistency and uncertainty in the linkages between air pollution and birth outcomes.
"Just as Copernicus understood heliocentric cosmology a full century before the invention of the telescope, Weaver understood smart baseball a generation before it was empirically demonstrated".
Such effects, however, have not been empirically demonstrated.
Scalability and usability of our prototype have been empirically demonstrated by extensive lab tests.
Furthermore, the effects of evaluating examples on the evaluator's idea generation have been empirically demonstrated.
Thirdly, we empirically demonstrate that this family can be successfully applied in risk management.
