Xavier et al.,

An important secondary factor is the improved intersubject alignment provided 
by “MSMAll” alignment (based on areal features) over folding-based alignment 
(MSMSulc or fsaverage).  Having better alignment of functionally defined areas 
increases effect sizes (and z-stats as well), making the type of analysis Matt 
recommends more robust whatever the number of subjects in a particular analysis.

These and a variety of other recommendations for "HCP-style” analysis are 
discussed more fully in Glasser et al., (Nature Neuroscience, 2016; 
https://www.ncbi.nlm.nih.gov/pubmed/27571196).

David

> On Jan 26, 2017, at 4:33 PM, Glasser, Matthew <[email protected]> wrote:
> 
> Standard error scales with sample size, standard deviation does not.  Things 
> like Z, t, and p all also scale with sample size and are measures of 
> statistical significance via various transformations.  Thus for a large group 
> of subjects, Z and t will be very high and p will be very low.  Z, t and p 
> are thus all not biologically interpretable, as their values also depend on 
> the amount and quality of the data.  In the limit with infinite amounts of 
> data, the entire brain will be significant for any task, but wether a region 
> is statistically significant tells us little about its importance 
> functionally.  Measures like appropriately scaled GLM regression betas, %BOLD 
> change, or Cohen’s d are biologically interpretable measures of effect size 
> because their values should not change as sample size and data amount go up 
> (rather the uncertainty on their estimates goes down).  Regions with a large 
> effect size in a task are likely important to that task (and will probably 
> also meet criteria for statistical significance given a reasonable amount of 
> data).  
> 
> A common problem in neuroimaging studies is showing thresholded statistical 
> significance maps rather than effect size maps (ideally unthresholded with an 
> indication of which portions meet tests of statistical significance), and in 
> general focusing on statistically significant blobs rather than the effect 
> size in identifiable brain areas (which should often show stepwise changes in 
> activity at their borders).  
> 
> Peace,
> 
> Matt.
> 
> From: <[email protected] 
> <mailto:[email protected]>> on behalf of Xavier Guell 
> Paradis <[email protected] <mailto:[email protected]>>
> Date: Thursday, January 26, 2017 at 3:46 PM
> To: "[email protected] <mailto:[email protected]>" 
> <[email protected] <mailto:[email protected]>>
> Subject: [HCP-Users] Very large z values for task contrasts in 
> S900_ALLTASKS_level3_zstat file: what does this mean in terms of statistical 
> significance?
> 
> Dear HCP team,
> I have seen that the zstat values for tasks contrasts are very large in the 
> HCP_S900_787_tfMRI_ALLTASKS_level3_zstat1_hp200_s2_MSMAll.dscalar.nii file, 
> to the point that one can observe areas of activation in task contrasts by 
> setting very high z value thresholds (e.g., a z threshold of +14).
> I think (please correct me if I'm wrong) that the z values of the S900 file 
> are very large because the group is very large, therefore the standard 
> deviation is very small (given that there will be less variability in a group 
> if one takes a very large group of people rather than a small group of 
> people), and if the standard deviation is very small then even small 
> differences from the mean will lead to very large z values.
> 
> I was wondering what implication does this have in terms of statistical 
> significance. A z value of 14 or larger would correspond to an extremely 
> small p value, i.e. it would be extremely unlikely to observe by chance a 
> measure which is 14 times the standard deviation away from the mean. Would it 
> therefore be correct to assume that the areas that we can observe in the S900 
> tfMRI_ALLTASKS task contrasts with a very high zstat threshold (e.g., 14) are 
> statistically significant, without having to worry about multiple comparisons 
> or family structure?
> 
> Thank you very much,
> Xavier.
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