Reporting Standard Error

I have applied the replicate weights to obtain empirically derived SE in the data analysis process and am writing up a report that presents a regression table. Would it be accurate to report ‘replicate standard error in parentheses’ or ‘standard error in parentheses’ in the note of my regression table?

Thank you.

There is nothing wrong with calling your standard errors “replicate standard errors” if you please, but I do not think this is an official or commonly-used phrase. What I personally would do is describe the method of estimating standard errors in the body of my paper and note in the table either simply “standard errors in parentheses” or “sample-design-based standard errors in parentheses.” You will likely want to consider what reviewers of your paper prefer.