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Hi Matthieu,

Yes, that's right: if the interaction is significant, we would demean then,
even though these are group comparisons. I posted the link to Jeanette so
as not to have to write the same over and over. I should have been more
specific, sorry if this caused confusion.

All the best,

Anderson


On 2 February 2017 at 17:40, Matthieu Vanhoutte <[log in to unmask]
> wrote:

> Dear Anderson,
>
> I have followed the discussion below concerning design of a three-groups
> and two continuous variables. I have been blocked concerning demeaning
> question according to both your answer and Jeanette Mumford's page.
>
> Could you please take a look at my question below inline ?
>
> Best regards,
> Matthieu
>
> Le 21 août 2016 à 22:29, Anderson M. Winkler <[log in to unmask]
> <[log in to unmask]>> a écrit :
>
> Hi Elena,
>
> Please, see below:
>
> On 21 August 2016 at 16:37, elena mazza <[log in to unmask]> wrote:
>
>> Good evening Anderson,
>> doing the different designs, some doubts come up
>
>
>> 2. Regarding the intercept. i think I didn't understand exactly when I
>> have to use it in the designs.
>>
>>     a) Why in the design above you suggested to inclued it, whereas in
>> the following design is not necessary?
>>
>> EV1: BP (coded as 0/1)
>> EV2: SCZ (coded as 0/1)
>> EV3: CON (coded as 0/1)
>> EV4: age BP (put zeros for the non-BP)
>> EV5: age SCZ (put zeros for the non-SCZ)
>> EV6: age CON (put zeros for the non-CON)
>> EV7: sleep efficacy BP (put zeros for the non-BP)
>> EV8: sleep efficacy SCZ (put zeros for the non-SCZ)
>> EV9: sleep efficacy CON (put zeros for the non-CON)
>> EV10: EV4*EV7 (that is, interaction age by sleep efficacy in BP)
>> EV11: EV5*EV8 (that is, interaction age by sleep efficacy in SCZ)
>> EV12: EV6*EV9 (that is, interaction age by sleep efficacy in CON)
>>
>> Note that there is no explicit EV for intercept in this case.
>>
>
> In this design, with 3 groups, the intercept is in fact there, but split
> across the three groups in EV1, EV2 and EV3. In the other design, with two
> groups, the intercept is shown explicitly. However, it is possible to
> reorganise both designs so that the opposite happens, i.e., it is possible
> to reorganise the design for 2 groups so that the intercept is split
> across, and it is also possible to reorganise the design with 3 groups so
> that there is a column full of ones for the intercept. These reorganised
> designs would lead to identical results. Choosing one or another is just a
> matter of readability.
>
>
>>
>>
>>   b) I also read that demeaning can be skipped if an intercept is entered
>> in the design. So are they (demean-intercept) mutually exclusive?
>>
>
> For these designs that will use contrasts comparing groups there is no
> need for demeaning.
>
> Please have a look at Jeanette Mumford's page on this topic:
> http://mumford.fmripower.org/mean_centering/
>
>
>
> When we comparing groups with these contrasts:
>
> Differences between groups:
>> C1: 1 -1 0 0 0 0 0 0 0 0 0 0 F1
>> C2: 1 0 -1 0 0 0 0 0 0 0 0 0 F1
>> C3: 0 1 -1 0 0 0 0 0 0 0 0 0
>>
>
> We are in the third case, first contrast of the Jeanette Mumford's table
> below, aren’t we ? This position seems to indicate to demean data but in
> your answer you said «  For these designs that will use contrasts comparing
> groups there is no need for demeaning ». Could you explain me what I didn’t
> understand ?
>
>
>
>
>
>
>>
>>
>> 3. Last question concern the randomise script: when do I have to add -D
>> option?
>> I read in the forum that if I demean by hand the values, in the design, i
>> don't have to add the -D option. If i don't demean by hand i have to add it.
>> Is that correct?
>>
>
> For these contrasts there is no need for -D as the intercept is in one way
> or another in the model and also because there are only group comparisons.
> Jeanette's page should clarify it.
>
>
>>
>> So, demeaning the values by hand AND adding in the script the  -D option
>> is an error?!
>>
>
> Not an error. Randomise would demean again. Since the mean would already
> be zero, it would subtract zero, to no effect.
>
> All the best,
>
> Anderson
>
>
>
>>
>> Best,
>> Elena
>>
>> ________________________________
>> Da: FSL - FMRIB's Software Library <[log in to unmask]> per conto di
>> Anderson M. Winkler <[log in to unmask]>
>> Inviato: martedì 14 giugno 2016 09.19.27
>> A: [log in to unmask]
>> Oggetto: Re: [FSL] interaction design with two continuous variables in
>> two groups
>>
>> Hi Elena,
>>
>> With three groups, perhaps the most intuitive way is this:
>>
>> EV1: BP (coded as 0/1)
>> EV2: SCZ (coded as 0/1)
>> EV3: CON (coded as 0/1)
>> EV4: age BP (put zeros for the non-BP)
>> EV5: age SCZ (put zeros for the non-SCZ)
>> EV6: age CON (put zeros for the non-CON)
>> EV7: sleep efficacy BP (put zeros for the non-BP)
>> EV8: sleep efficacy SCZ (put zeros for the non-SCZ)
>> EV9: sleep efficacy CON (put zeros for the non-CON)
>> EV10: EV4*EV7 (that is, interaction age by sleep efficacy in BP)
>> EV11: EV5*EV8 (that is, interaction age by sleep efficacy in SCZ)
>> EV12: EV6*EV9 (that is, interaction age by sleep efficacy in CON)
>>
>> Note that there is no explicit EV for intercept in this case.
>>
>> The contrasts are then:
>>
>> Differences between groups:
>> C1: 1 -1 0 0 0 0 0 0 0 0 0 0 F1
>> C2: 1 0 -1 0 0 0 0 0 0 0 0 0 F1
>> C3: 0 1 -1 0 0 0 0 0 0 0 0 0
>>
>> Interaction age by group:
>> C4: 0 0 0 1 -1 0 0 0 0 0 0 0 F2
>> C5: 0 0 0 1 0 -1 0 0 0 0 0 0 F2
>> C6: 0 0 0 0 1 -1 0 0 0 0 0 0
>>
>> Interaction sleep efficacy by group:
>> C7: 0 0 0 0 0 0 1 -1 0 0 0 0 F3
>> C8: 0 0 0 0 0 0 1 0 -1 0 0 0 F3
>> C9: 0 0 0 0 0 0 0 1 -1 0 0 0
>>
>> Interaction age by sleep efficacy by group:
>> C10: 0 0 0 0 0 0 0 0 0 1 -1 0 F4
>> C11: 0 0 0 0 0 0 0 0 0 1 0 -1 F4
>> C12: 0 0 0 0 0 0 0 0 0 0 1 -1
>>
>> The t-contrasts (C1-C12) can all be repeated with the signs flipped, for
>> a total of 24 tests. The F-tests, however, remain the same for already
>> being bidirectional (two-tailed), i.e., no need to duplicate them up to F8.
>>
>> All the best,
>>
>> Anderson
>>
>>
>> On 13 June 2016 at 14:30, elena mazza <[log in to unmask]<mailto:
>> [log in to unmask]>> wrote:
>> Hello Anderson,
>> Thank you very much for your reply!
>> I have another question: what if I have three groups (such as
>> bipolar-schizophrenia-controls)?
>>
>> Thank you in advance.
>>
>> All the best,
>> Elena
>> ________________________________
>> Da: FSL - FMRIB's Software Library <[log in to unmask]<mailto:FSL
>> @JISCMAIL.AC.UK>> per conto di Anderson M. Winkler <
>> [log in to unmask]<mailto:[log in to unmask]>>
>> Inviato: sabato 11 giugno 2016 08.56.03
>> A: [log in to unmask]<mailto:[log in to unmask]>
>> Oggetto: Re: [FSL] interaction design with two continuous variables in
>> two groups
>>
>> Hi Elena,
>>
>> This would be a three-way interaction. The design is almost fine, only
>> need to replace the intercept (last EV) for two new EVs one for each group.
>> Instead, how about coding as this:
>>
>> EV1: intercept
>> EV2: +1/-1 for group
>> EV3: age
>> EV4: sleep efficacy
>> EV5: EV2*EV3 (interaction group by age)
>> EV6: EV2*EV4 (interaction group by sleep efficacy)
>> EV7: EV3*EV4 (interaction age by sleep efficacy)
>> EV8: EV2*EV3*EV4 (interaction group by age by sleep efficacy)
>>
>> The contrasts are then:
>> C1: [0 0 0 0 0 0 0 1]
>> C2: [0 0 0 0 0 0 0 -1]
>>
>> All the best,
>>
>> Anderson
>>
>>
>> On 10 June 2016 at 15:22, Elena Mazza <[log in to unmask]<mailto:
>> [log in to unmask]>> wrote:
>> Dear FSL users,
>> I had a question about how to set up a design.
>> I want to see if there is an interaction effect between age and sleep
>> efficacy on white matter integrity, and if this interaction differs in the
>> two groups that I considered (Healthy subjects VS Patients).
>>
>> I know that considering just ONE sample the design will be as follows:
>>
>> EV1: age
>> EV2: sleep efficacy
>> EV3: product EV1*EV2.
>> EV4: intercept
>>
>> where the interaction is tested with:
>>
>> C1: [0 0 1  0]
>>
>> C2: [0 0 -1 0]
>>
>> - Considering TWO groups (Healthy control->first group Vs Patients ->
>> second group), do I have to split each variables in two columns as follows?
>>
>> EV1: age of Healthy controls
>> EV2: age of Patients
>> EV3: sleep efficacy of Healthy controls
>> EV4: sleep efficacy of Patients
>> EV5: product EV1*EV3
>> EV6: product EV2*EV4
>> EV7: intercept
>>
>> where the difference between groups in the interaction is tested with:
>>
>> C1: [0 0 0 0  1  -1 0]
>>
>> C2: [0 0 0 0 -1   1  0]
>>
>> Is it correct?
>> how about the intercept?
>>
>>
>> Thank you in advance!
>>
>> Best,
>> Elena Mazza
>>
>
>
>