deletions | additions       diff --git a/In_a_multisite_model_we__.tex b/In_a_multisite_model_we__.tex  index 94a86b4..53c8d96 100644  --- a/In_a_multisite_model_we__.tex  +++ b/In_a_multisite_model_we__.tex 
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In a multisite model, we are sampling effect sizes from our set of sites, and then taking an average of those samples and testing whether or not this average effect is significantly different from 0. Becuase of this, its really important to have enough site-level samples to estimate a mean effect. The plots don't go down to the single site case because the power curves wouldn't would not  apply there - the model would be different. In a single site case, one simply needs to power a two sample T-test, given an effect size, number of subjects, false positive rate. Ifwe take  similar parameters are taken  to a single site case (effect size=0.2, alpha=0.002, power = 80\%), you one  would need 1550 subjects, all acquired at one site, to power this. The reason we don't do this is because However,  it takes a really long time to acquire that many subjects for one site, and it is likely the scanner will go through upgrades or protocols will change in the meantime. The n cutoff (number subjects per site for our 20 sites) that we chose was chosen  for this plot is was  150 subjects per site, whichwe feel  is the maximum amount we'd we would  ask our consortium to collect, though ideally collect. Ideally  this would be even lower, especially if researchers wanted to study very rare diseases. At a certain point, even with 0 variability from MRI, there simply aren't are not  enough sites for an effect sizes that are so small (which is the case with genetics) and this is why the # of sites do not go below 10 for this particular effect size ($<10$ samples is not enough for 80\% power, even with no bias).