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Thank you both so much!

On 4 December 2016 at 12:12, Anderson M. Winkler <[log in to unmask]>
wrote:

> Thanks Andreas, I was trying to find this link with no success!
>
> On 3 December 2016 at 10:27, Andreas Bartsch <[log in to unmask]>
> wrote:
>
>> Hi,
>>
>> also note that F-tests have a spherical or elliptical rejection region
>> while individual t-tests evaluate rectangular rejection regions. This leads
>> to differences in the rejection regions: points outside an ellipse may be
>> detected by the F-test but, if they fall within a box, the H0 may not be
>> rejected by the t-test. See http://www.amstat.org/publ
>> ications/jse/v16n3/martin.html (Tom Nichols alerted me once to Fig. 2).
>> It is a bit of a different plot than your example (because you are
>> wondering about the discrepancy of positive detections) but it may be
>> worthwhile to mention.
>> Cheers,
>> Andreas
>>
>>
>> Von: FSL - FMRIB's Software Library <[log in to unmask]> on behalf of
>> "Anderson M. Winkler" <[log in to unmask]>
>> Antworten an: FSL - FMRIB's Software Library <[log in to unmask]>
>> Datum: Samstag, 3. Dezember 2016 um 10:49
>> An: <[log in to unmask]>
>> Betreff: Re: [FSL] Discrepancy between f- and t-test images
>>
>> Hi Lisa,
>>
>> Oops, my bad, it's Hayter, not Hayer: Hayter AAJ. The maximum familywise
>> error rate of Fisher’s least significant difference test. J Am Stat Assoc.
>> 1986 Dec;81(396):1000–4. http://www.jstor.org/stable/2289074
>>
>> However you don't have to bother much with it -- it refers to differences
>> more in the opposite direction, i.e., excess false positives as opposed to
>> not finding results in the t-test, and also it shows that with 3 groups
>> it's fine. The fact that you are using cluster-level inference already
>> explains the issue: there is no guarantee that the F-test will match the
>> t-tests even in the 3-group case.
>>
>> Which to choose then? I would go for the one that has higher specificity:
>> the t-tests. I would leave the F-test results aside.
>>
>> All the best,
>>
>> Anderson
>>
>>
>> On 2 December 2016 at 12:28, Lisa Kramarenko <[log in to unmask]>
>> wrote:
>>
>>> Hi Anderson,
>>>
>>> thanks for your response! Indeed, I am comparing three groups and I am
>>> using easythresh (after flameo) which performs multiple comparison
>>> correction at the cluster level!
>>> Unfortunately I can't find the paper you're referring to, could you also
>>> tell me its name? Or maybe you can really briefly summarize what the reason
>>> for this discrepancy is?
>>> And I have another question: would you mind giving a hint about how to
>>> interpret the not-matching results? Is it a difference to be reported or
>>> rather not?
>>>
>>> Thanks so much for your help!
>>>
>>>
>>> On 1 December 2016 at 10:16, Anderson M. Winkler <[log in to unmask]
>>> > wrote:
>>>
>>>> Hi Lisa,
>>>>
>>>> The results may not match, particularly if:
>>>> - Spatial statistics are used (e.g., cluster, TFCE).
>>>> - The rank of the F-test diverges from 2 (e.g., if you are comparing 3
>>>> or more groups). For a reference, see Hayer (JASA, 1986).
>>>>
>>>> All the best,
>>>>
>>>> Anderson
>>>>
>>>>
>>>> On 30 November 2016 at 10:26, Lisa Kr <[log in to unmask]>
>>>> wrote:
>>>>
>>>>> Hello,
>>>>>
>>>>> I have some trouble understanding the discrepancy in the results of my
>>>>> ANOVA. While the F-stat image shows the regions with significant
>>>>> differences between my three groups, the individual t-tests then  show that
>>>>> the differences between the single groups are in regions other than these
>>>>> F-test has shown (see attached, red=f-test, green and blue: group
>>>>> differences). Is there any explanation for this? I was expecting the
>>>>> differences between groups to fall in the general areas indicated by the
>>>>> F-Test.
>>>>>
>>>>> Thanks!!
>>>>>
>>>>> Lisa
>>>>>
>>>>>
>>>>>
>>>>
>>>
>>
>