The phrase "a primary criterion for" is correct and usable in written English.
It can be used when discussing the main standard or principle that is used to evaluate or judge something.
Example: "The effectiveness of the new policy will be assessed based on a primary criterion for success: its impact on employee productivity."
Alternatives: "a key standard for" or "a main factor in".
Based on the results, the GW height should be a primary criterion for designing GWs.
As the ultimate limit state is now a primary criterion for ship structural design, multi-objective optimization techniques for both minimizing weight and maximizing safety are routine practices in the structural design of naval ships as such techniques are critical for determining the structural weight needed to meet the functional requirements associated with naval armaments.
Therefore, sequence homology can be used as a primary criterion for functional screening.
This was a primary criterion for the authors' work on methodological issues.
A distinct pre-miRNA hairpin structure is a primary criterion for microRNA annotation.
A primary criterion for selecting a location was the availability of electrical power points for the equipment and toilets.
A longer period of activity is a primary criteria for the selection.
Strength of concrete is a primary criterion in selecting this material for a particular application.
If a high MAF is the primary criterion for inclusion in a SNP-based genetic management panel, pyrosequencing appears to be an especially useful method for quickly identifying large numbers of these loci.
The active involvement of grandparents in family life (defined as spending time with the grandchild at least twice a month) was the primary criterion for inclusion in the study.
That said, there are those who value hot tubs above all else — like clients Mr. Ski once worked with, whose primary criterion for an apartment, he said, was that it have a private terrace where they could install a hot tub.
