Dietterich had quite a comprehensive paper on this issue:
[1] T. G. Dietterich. Approximate statistical tests for comparing supervised 
classification learning algorithms. Neural computation, 10(7):1895–1923, 1998.
I am not sure if it applies to other error metrics rather than 
"misclassification error" though.


Best,
Sebastian

> On May 15, 2015, at 3:57 PM, Jack Alan <j.o.alan2...@gmail.com> wrote:
> 
> Hi folks,
> 
> I've a question in my mind I could not find a proper answer for it. Suppose I 
> have two different systems A and B applied on the same dataset and using 
> different algorithm. Each system scores a specific F-measure(F1) such as:
> System A: 88% F1
> System B: 89.6% F1
> 
> I want to see if the difference of the F1 between two systems is 
> statistically significant? How to do so? 
> 
> 
> p.s. I did not apply k-fold evaluation. I just divided the dataset into 
> training and tests set.
> 
> 
> Best Regards,
> Jack
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