Subsample Selection Bias :

Dear all;

I have a sample of 3000 paintings, then I divided this sample into 5 subsamples given some criteria ( year, style ...). Then

I did some ANOVA for each subsample in order to analyse consumer preferences.

The Reviewer 1 comment is beleow:

How can the authors warrantee that the specific selection of paintings is not responsible for the effect?

It is not clear to me how selection bias is ruled out.

1-How can I answer the Reviewer here?

2- Should I use bootstrapped ANOVA to correct my results?

3- Is there anyway to handle Subsample Selection Bias in this case?

Thank you!

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