help > Multiple primary thresholds correction
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Nov 17, 2021  01:11 PM | Peder Lillebostad
Multiple primary thresholds correction
Hello NBS experts,

In the manual you recommend to test a range of primary thresholds. If I'm not mistaken, this brings about another problem of multiple testing, and ought to be corrected for.

But here is the problem: doing an FDR correction would be too conservative, because the values are not independent for obvious reasons. Does there exist a clever solution to this?


Thanks a lot,
Peder
Nov 17, 2021  10:11 PM | Andrew Zalesky
RE: Multiple primary thresholds correction
Hi Peder, 

yes - testing a range of thresholds technically creates a multiple comparisons problem. However, if only a few different thresholds are tested and these are reported in a paper, I would argue that multiple comparisons correction is potentially overkill.

You may want to select a single threshold that corresponds to the minimum meaningful effect size in your experiment. 

If you are determined to correct for multiple comparisons across thresholds, FDR is a good option. A more principled approach would be to use NBS-TFCE, which does not require a primary threshold choice, and thus overcomes this problem. 

best,
Andrew


Originally posted by Peder Lillebostad:
Hello NBS experts,

In the manual you recommend to test a range of primary thresholds. If I'm not mistaken, this brings about another problem of multiple testing, and ought to be corrected for.

But here is the problem: doing an FDR correction would be too conservative, because the values are not independent for obvious reasons. Does there exist a clever solution to this?


Thanks a lot,
Peder
Nov 18, 2021  03:11 PM | Peder Lillebostad
RE: Multiple primary thresholds correction
Thank you for the quick and detailed reply!

So if I understand you correctly, it is not methodologically flawed to dynamically "optimize" a primary threshold (i.e. not deciding on a priori values)? Of course provided that I am transparent about the methods.


Thank you very much.
Peder


Originally posted by Andrew Zalesky:
Hi Peder, 

yes - testing a range of thresholds technically creates a multiple comparisons problem. However, if only a few different thresholds are tested and these are reported in a paper, I would argue that multiple comparisons correction is potentially overkill.

You may want to select a single threshold that corresponds to the minimum meaningful effect size in your experiment. 

If you are determined to correct for multiple comparisons across thresholds, FDR is a good option. A more principled approach would be to use NBS-TFCE, which does not require a primary threshold choice, and thus overcomes this problem. 

best,
Andrew


Originally posted by Peder Lillebostad:
Hello NBS experts,

In the manual you recommend to test a range of primary thresholds. If I'm not mistaken, this brings about another problem of multiple testing, and ought to be corrected for.

But here is the problem: doing an FDR correction would be too conservative, because the values are not independent for obvious reasons. Does there exist a clever solution to this?


Thanks a lot,
Peder
Nov 18, 2021  09:11 PM | Andrew Zalesky
RE: Multiple primary thresholds correction
Thanks Peder, 

to clarify, systematically evaluating hundreds of thresholds and then cherry-picking and reporting a threshold for which the p-value is smallest is not really appropriate in my opinion. I'm not sure if that's what you mean by dynamic optimization. 

I was referring to consideration of a couple of thresholds. 

You may want to consider the TFCE version of NBS, which does not require specification of a threshold. 

best, 
Andrew



Originally posted by Peder Lillebostad:
Thank you for the quick and detailed reply!

So if I understand you correctly, it is not methodologically flawed to dynamically "optimize" a primary threshold (i.e. not deciding on a priori values)? Of course provided that I am transparent about the methods.


Thank you very much.
Peder


Originally posted by Andrew Zalesky:
Hi Peder, 

yes - testing a range of thresholds technically creates a multiple comparisons problem. However, if only a few different thresholds are tested and these are reported in a paper, I would argue that multiple comparisons correction is potentially overkill.

You may want to select a single threshold that corresponds to the minimum meaningful effect size in your experiment. 

If you are determined to correct for multiple comparisons across thresholds, FDR is a good option. A more principled approach would be to use NBS-TFCE, which does not require a primary threshold choice, and thus overcomes this problem. 

best,
Andrew


Originally posted by Peder Lillebostad:
Hello NBS experts,

In the manual you recommend to test a range of primary thresholds. If I'm not mistaken, this brings about another problem of multiple testing, and ought to be corrected for.

But here is the problem: doing an FDR correction would be too conservative, because the values are not independent for obvious reasons. Does there exist a clever solution to this?


Thanks a lot,
Peder