The phrase "based on the comparison" is correct and usable in written English.
Example sentence: I drew my conclusion based on the comparison between the two products.
Some transcript profiles looked at here are based on the comparison of ESTs that vary by only one unit.
Based on the comparison of the template structure and the homology model of KGSADH, we selected 13 residues (Fig. 2A).
Based on the comparison of four scenarios of U-turn models and existing model.
It was based on the comparison of performance of best cemented stems on the market.
The work is based on the comparison between theoretical (exact) solutions and experimental solutions.
This technique is based on the comparison between all the alternatives included in the problem.
Based on the comparison results, a novel ADRF robust weight function is proposed.
This is based on the comparison with published experimental data and numerical results.
The analysis is based on the comparison of brick masonry walls with different types of reinforcement.
Based on the comparison results, potential further enhancement of numerical models is discussed.
Compound identification was based on the comparison of mass spectra and/or reference compounds, and compounds were quantified using external calibration curves.
