The phrase "a scale on which" is correct and usable in written English.
It can be used when discussing a method of measurement or comparison in various contexts, such as evaluations, assessments, or rankings.
Example: "The project was evaluated on a scale on which creativity and originality were prioritized."
Alternatives: "a framework for" or "a basis for comparison".
At week 16, patients with a physician's global assessment (termed PGA) of less than excellent (≥3 on a scale on which 1 is best and 6 is worst) received one additional injection of their originally assigned dose.
A scale on which it takes a Great Depression or a world war to get a significant bump is going to look pretty smooth most of the time.
The Institute for Supply Management's manufacturing index, based on a survey of companies, dropped to 47.7 from 50.8 in the previous month, on a scale on which anything above 50 signals growth.
It includes exhibits of rocks with gold veins, Wells Fargo and gold bricks and ends with a scale on which people can find out the value of their weight in gold.
To address the low regularity, we use a wave packet decomposition to reduce to estimates at a scale on which the Lipschitz coefficients can be approximated by $C^2 $coefficients.
Having observed that many of his subjects did not fit neatly into the categories homosexual or heterosexual, Kinsey created a scale on which individuals' sexual orientations could be plotted as points between zero (exclusively heterosexual) and six (exclusively homosexual).
The German CFQ-R [ 11] includes a scale on "Embarrassment' which has been omitted from the United States CFQ-R [ 5].
He aims for 1.5percentt, and gets it consistently with the help of a precision water boiler and a digital scale on which he does the brewing, pouring water to the gram.
Here's ESPN's description: Total QBR is a quarterback rating that takes into account all of a quarterback's contributions (passing, rushing, sacks, fumbles, penalties) to his team's scoring and winning and summarizes them into one number on a 0-100 scale, on which 50 is average.
For a number of reasons, gene expression data is typically analysed on a log scale, on which differences in expression are probed by a t-test.
However, magnitude estimates without a visible scale on which to rely take a longer time to formulate than other measures, such as reaction times and relative comparisons.
