Learn English – How to refer to a previous number by “that much”

expression-choicemeaningnumbers

Sentence:

Using cross-validation, it was shown that modeling at a penalty
value of 1.25 did achieve the highest performance. This indicates that
a penalty value that much could mitigate the negative effect of
collinearity on model performance.

or

as that much

or

this much

Which one is more correct? Is there a better expression to give the same meaning?

Best Answer

Neither one.

The preposition you use is the same as the preposition you would use if "that much" were replaced by a specific value. You wouldn't say

*a penalty value as 1.25
*a penalty value 1.25

but

a penalty value of 1.25.

So you say

a penalty value of that much.

And I would also recommend using "of that amount". While "of that much" is grammatical, I think it is too informal for a technical paper.