I have applied 3 methods say Method-1, Method-2 and Method-3 to a dataset.

I applied modified versions of these methods say Method-1M, Method-2M and Method-3M.

while I can calculate the error between

-Method-1 and Method-1M

- Method-2 and Method-2M

- Method-3 and Method-3M

to see if the modified versions are better or not, I can also have other several combinations for error check.

My question is, is there any statistical method (say ANOVA) that can tell me in a single go that a method is better in terms of low error as compared to existing methods as well as among the modified versions?

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