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FSL  July 2007

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Subject:

Re: modeling parametric designs

From:

Christian Beckmann <[log in to unmask]>

Reply-To:

FSL - FMRIB's Software Library <[log in to unmask]>

Date:

Sun, 22 Jul 2007 13:00:45 +0100

Content-Type:

text/plain

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text/plain (210 lines)

Hi

there are separate issues wrt modelling: if you assume that there are  
de-activations in the data you still need to make sure that you use  
the right contrasts. In your case you might choose to model the  
events in class 1 with negative amplitude - if you then want to  
estimate linear increases between low-medium and high amplitude  
condition you then can't do this with the -1 0 +1 contrast. So  
overall I think that the possibility of modelling on periods by using  
negative amplitudes is not useful.

The most important reason why your third type of analysis does not  
make sense to me is that I think you de-mean  the 3EVs by their  
global mean - not by their individual means. This will not give you  
sensible results: the data has been de-meaned, so all the separate  
EVs also need to be mean 0. Otherwise almost all  linear combination  
of these EVs will have non-zero mean and will not fit the data  
correctly. The question of positivity is secondary - that could be  
sorted out later using the appropriate contrasts, though it's easiest  
sticking with modelling all effects as having positive change over  
baseline.

Wrt using the rating information: yes, if you believe that these  
ratings contain valuable information you'd want to use this - though  
I don't think that fixing the relative amplitudes to the arbitrary  
numbering of ratings does not necessarily make sense unless you truly  
believe that a change in stimulus from level 2 to 3 gives a 50%  
increase in BOLD while a change from event type 6 to 7 only gives a  
16.6% increase. The numbering of feature levels should be independent  
from the numerical assumptions you want to make about the amount of  
BOLD increase, i.e. it is reasonable to group into your 3 EVs but  
then use 1 for the lowest level within each group and maybe 1.2 for  
the second lowest level within each EV - that way you assume a 20%  
increase in BOLD.
In general, the most flexible way of using this information this is  
to use separate EVs (7 in your case) of equal height 1 (i.e. your  
arbitrary scale becomes inimportant, though you create a less  
efficient design if number of events per level are low.
cheers
christian



On 22 Jul 2007, at 11:42, Silvia Gennari wrote:

> Hi,
>
> Thanks for this, I agree with your comments.  I was just trying to  
> understand why the results are so different from one way of  
> modeling to another.  You are right that by getting negative values  
> on the custom files (the demeaned option), one would  expect  
> deactivation, but this is not so unreasonable, if you think that  
> the absence of the semantic feature should then give you  
> deactivation in the areas in which the corresponding semantic  
> activity is processed.
>
> I got confused because Worsley’s chapter in the book edited by  
> Jezzard et al. (if I am reading it correctly) suggests demeaning  
> intensity levels in this way, and also suggests that doing this  
> should be similar to the analysis with the weight of 1, at least  
> for the contrast looking for the linear trend.  However, his  
> example is a bit different from this case.
>
> We wanted  somehow to use the ratings in the analysis because it  
> should give you more sensitivity to capture variability across  
> items. By categorizing the stimuli in low medium high groups, we  
> are ignoring the fact that some stimuli in the medium group overlap  
> with the ratings of the high group. The ratings give us a  
> continuous variable, but our grouping then assumes that every  
> stimulus within the group has the same intensity, but this is not  
> the case. So it seems reasonable to assume that somehow using the  
> information of the ratings in our analysis would improve  
> sensitivity. Do you agree? But it is not clear what would be the  
> best way to incorporate this information into the analysis.  The  
> ratings scale is in itself arbitrary. We could have used any other  
> scale to extract judgments from people.  So I do not think that  
> using 7 EVs (one of the possibilities you suggest) would be the  
> right thing to do.  This would also reduce power as few events will  
> be included in each value.
>
> Any more thoughts are welcome.
>
>
> Silvia
>
>
>
>
>
>
>
>
> On 20 Jul 2007, at 22:17, Christian Beckmann wrote:
>
>> Hi
>>
>> In your case I suspect it's the second type of analysis you want.  
>> In principle, you could model this using 7 EVs, one per rating  
>> level (where you simple use standard height of 1 for each EV!)  
>> This might not be the optimal analysis, though, because you might  
>> end up with very few events per EV so that your design is not  
>> particularly efficient ( you can check this by looking at the  
>> efficiency calculation in feat)
>>
>> If you believe that you can validly group these different types  
>> into different classes then you'd model this with 3 EV where again  
>> you'd model the height as a constant 1. Your first type of  
>> analysis is a hybrid way of doing the analysis: your using 3 EVs  
>> because you believe you can validly group but then you end up  
>> using the ratings within an EV which introduces assumptions about  
>> the relation between signal amplitude and difference in rating,  
>> e.g. if you explicitly put in 6 and 7, say, you effectively  
>> introduce the assumption that under the highest semantic category  
>> the raw intensity increases by 1/6 compared to the mean intensity  
>> measured during the events of type 6... the classification into 7  
>> levels is purely categorial - or do you have reason to believe  
>> that the change in signal during events 3 and 4 is equal to the  
>> change in intensity when you switch from event type 6 to event  
>> type 7?
>>
>> The third way of doing this does not make sense to me at all - by  
>> de-meaning the 3EVs by the global mean you end up EV1 'on' events  
>> being modelled as negative changes (reduction in BOLD). I'd  
>> guessed that the +1 0 +1 contrast looks similar to the -1 0 1  
>> contrast in your first analysis?
>>
>> hope this helps
>> Christian
>>
>>
>>
>> On 20 Jul 2007, at 19:07, Silvia Gennari wrote:
>>
>>> Hello,
>>>
>>> I have a question about how to model a parametric design with  
>>> some specific characteristics.
>>>
>>> In a rapid event related design, we are presenting sentences that  
>>> have been independently associated with semantic ratings. The  
>>> stimuli can be grouped into low, medium and high stimuli (where  
>>> the low condition is really the absence of the semantic feature  
>>> and the other two are of medium and high intensity). Hopefully,  
>>> only areas that are associated with the specific semantic feature  
>>> investigated here should be sensitive to the manipulation. These  
>>> are the areas that we are trying to identify.
>>>
>>> We have modeled our pilot data from a few subjects in three  
>>> different ways. I thought that these ways of looking at the data  
>>> should turn out to be fairly similar, but I am puzzled now by  
>>> some differences that we got.
>>>
>>> In the first analysis, we created three custom files with three  
>>> EVs (low, medium high), putting the semantic ratings as weights  
>>> (the ratings are in a scale from 1 to 7). Then we computed the  
>>> contrast [-1 0 +1], to capture the linear trend, as well as other  
>>> contrasts such as [0 -1 1], [-1 1 0].
>>>
>>> In the second analysis, we created similar custom files but this  
>>> time we assign a weight of 1 to each of the EVs (low medium  
>>> high). Then again we calculated the contrasts as above.
>>>
>>> In the third analysis, we demeaned the ratings (subtracting the  
>>> overall mean rating from each individual rating) and put them on  
>>> three EVs as above. This time, the “low” condition has negative  
>>> values, the medium has values around 0 and the high has values  
>>> around 1.
>>>
>>>  The first two analyses look fairly similar, say, for the first  
>>> contrast [-1 0 +1]. There are some difference in the size of the  
>>> activated areas but a lot of overlap (as I expected). However,  
>>> demeaning the ratings gives us something completely different  
>>> (and not entirely meaningful, like lost of activity in the  
>>> cerebellum) and I am not quite sure why this is. Are we applying  
>>> the wrong logic?
>>>
>>> Thanks
>>>
>>> Silvia
>>>
>>>
>>>
>>
>> ____
>> Christian F. Beckmann
>> University Research Lecturer
>> Oxford University Centre for Functional MRI of the Brain (FMRIB)
>> John Radcliffe Hospital, Headington, Oxford OX3 9DU, UK.
>> [log in to unmask]	http://www.fmrib.ox.ac.uk/~beckmann
>> tel: +44 1865 222551			fax: +44 1865 222717
>>
>>
>
> Silvia Gennari
> Department of Psychology
> University of York
> York, YO10 5DD
> United Kingdom
>
>
>

____
Christian F. Beckmann
University Research Lecturer
Oxford University Centre for Functional MRI of the Brain (FMRIB)
John Radcliffe Hospital, Headington, Oxford OX3 9DU, UK.
[log in to unmask]	http://www.fmrib.ox.ac.uk/~beckmann
tel: +44 1865 222551			fax: +44 1865 222717

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