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Hi Yang Hu,

Yes, that's right. The only thing I'd change in your description is that
TFCE is a voxel-based type of *statistic* (i.e., not really a correction
method; it still requires correction after it has been computed).

All the best,

Anderson



On Mon, 25 Feb 2019 at 20:27, huyang <[log in to unmask]> wrote:

> Hi, Anderson
>
> Thank you so much for very detailed and easy-to-read explanation.One
> further question is the popular TFCE method, which seems to make a
> transformation of raw statistic map by incorporating both its height (how
> high the statistic of a voxel is) and extent (Is this voxel in a cluster)
> information. The transformed maps (i.e., TFCE maps) go through a
> permutation test to obtain corrected p-values. Therefore, TFCE method is a
> voxel-based (instead of cluster-based) correction method but considering
> the spatial cluster information, in comparison with the original
> voxel-based method. Is my understanding right? Thanks!
>
> Best,
>
> Yang Hu
>
> 在 2019-02-25 20:19:42,"Anderson M. Winkler" <[log in to unmask]> 写道:
>
> Hi Yang Hu,
>
> Please see below:
>
> On Sun, 24 Feb 2019 at 05:01, huyang <[log in to unmask]> wrote:
>
>> Dear FSL experts and users,
>>
>> (1) Suppose that I collected two groups of data and computed the
>> voxel-wise metrics (for instance, gray matter volume). I would like to test
>> the hypothesis that whether the two groups differ in some brain regions. I
>> could get a voxel-wise P-value map by conducting a Two-sample T-test in
>> each voxel independently or by conducting a permuation test in each voxel
>> independently. This is the difference between parametric and non-parametric
>> hypothesis testing, I think.
>>
>
> In both cases you'd do a two-sample t-test. In the parametric you'd use a
> formula that is based on some assumptions or knowledge about the data to
> obtain p-values. In the permutation case, you'd shuffle the group
> membership so as to obtain a permutation-based p-value.
>
>
>> My question is that when using FSL's *randomise*, permutation test is
>> used for calculating raw P-values?
>>
>
> Yes.
>
>
>>
>> (2) After I get a voxel-wise P-value (T-statistic) map, I need to correct
>> these P-values for multiple comparisons.
>>
>
> One way to see this is, as you say, need to correct the p-values. Another
> way to see this is that you need to obtain p-values that take into account
> the multiplicity of the tests, even if the uncorrected p-values had not
> even been computed. For both RFT and permutation testing, one does not, in
> fact, need to ever compute the uncorrected, "raw" p-values, and it's
> possible to proceed straight to the FWER-adjusted p-values.
>
>
>> Random field theory could be used to estimate the P-value threshold at a
>> FWER of 0.05 (voxel-based) or cluster size threshold at a FWER of 0.05
>> (cluster-based).
>>
>
> Yes. Note that cluster-level statistics are not a form of correction.
> Rather, they are statistics on their own right, for which both uncorrected
> and corrected p-values can be computed (it turns out that, for cluster,
> uncorrected p-values seldom make any sense, because clusters move around,
> so we always think about corrected p-values in that case).
>
>
>> FSL's *randomise* could also be used for voxel-based/cluster-based
>> thresholding. My question is that how could permutation be used for
>> multiple comparison correction? Is it based on the maximal statistic (the
>> maximum of a statistic map) distribution during the permutations?
>>
>
> Yes. For the test statistic obtained at each voxel, the FWER p-value is
> computed by considering the distribution of the maximum statistic across
> the image.
>
> All the best,
>
> Anderson
>
>
>
>>
>> I read the related papers but these are too technical (difficult) for me,
>> and I would like to have a basic but not-too-wrong conception. Many thanks.
>>
>> Best,
>>
>> Yang Hu
>>
>>
>>
>>
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