Yes. It is rank-deficient. This is expected and is fine. Its an
expansion of the paired T-test, which is also rank-deficient.
All it is saying is that the columns are dependent on each other,
which we know is the case since the the conditions come from the same
subject.
Best Regards, Donald McLaren
=================
D.G. McLaren, Ph.D.
Postdoctoral Research Fellow, GRECC, Bedford VA
Research Fellow, Department of Neurology, Massachusetts General Hospital and
Harvard Medical School
Office: (773) 406-2464
=====================
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On Tue, Sep 13, 2011 at 5:57 PM, Bob Spunt <[log in to unmask]> wrote:
> When adding the main effect for subject, the design matrix is rank
> deficient (see attached "design_wsubme.png"). Thoughts on how I should
> move forward? Thanks for any tips.
>
> On Tue, Sep 13, 2011 at 2:41 PM, MCLAREN, Donald
> <[log in to unmask]> wrote:
>> You need to add a main effect for Subject.
>>
>> You should also change the variance to equal for subject.
>>
>> Best Regards, Donald McLaren
>> =================
>> D.G. McLaren, Ph.D.
>> Postdoctoral Research Fellow, GRECC, Bedford VA
>> Research Fellow, Department of Neurology, Massachusetts General Hospital and
>> Harvard Medical School
>> Office: (773) 406-2464
>> =====================
>> This e-mail contains CONFIDENTIAL INFORMATION which may contain PROTECTED
>> HEALTHCARE INFORMATION and may also be LEGALLY PRIVILEGED and which is
>> intended only for the use of the individual or entity named above. If the
>> reader of the e-mail is not the intended recipient or the employee or agent
>> responsible for delivering it to the intended recipient, you are hereby
>> notified that you are in possession of confidential and privileged
>> information. Any unauthorized use, disclosure, copying or the taking of any
>> action in reliance on the contents of this information is strictly
>> prohibited and may be unlawful. If you have received this e-mail
>> unintentionally, please immediately notify the sender via telephone at (773)
>> 406-2464 or email.
>>
>>
>>
>>
>> On Tue, Sep 13, 2011 at 3:39 PM, Bob Spunt <[log in to unmask]> wrote:
>>> Thank you both. I have some follow-up questions to clarify. When I run
>>> the original configuration the resulting design matrix (see attached
>>> "design.png") only contains columns for the four conditions. Is it
>>> invalid to use this model to test the conjunction null using the
>>> contrasts depicted in attached "contrast.png"? If so, why is it
>>> invalid?
>>>
>>> Donald: when you say "subject...needs to be in the model", do you mean
>>> that I need to add the main effect of subject, or is the way I had it
>>> originally set up sufficient (where the subject factor is explicitly
>>> defined and correctly specified in the factor matrix). If the former,
>>> it's unclear to me how to add the main effect of subject without
>>> making the design rank deficient.
>>>
>>> Thanks again for your help.
>>>
>>> On Tue, Sep 13, 2011 at 9:04 AM, MCLAREN, Donald
>>> <[log in to unmask]> wrote:
>>>> (1) I think subject should be set to equal variance AND it needs to be
>>>> in the model.
>>>>
>>>> (2) Some of the conjunctions are impossible, some are possible, here is why:
>>>> A1: 1 1 0 0
>>>> B1: 1 0 1 0
>>>> A2: 0 0 1 1
>>>> B2 0 1 0 1
>>>> A1>B1: 0 1 -1 0
>>>> A2>B2: 0 -1 1 0
>>>> The conjunction of these two is 0 since they can't overlap!!!
>>>>
>>>> A1>A2: 1 1 -1 -1
>>>> B1>B2: 1 -1 1 -1
>>>> The conjunction of these two is possible since they can overlap.
>>>>
>>>>
>>>> Best Regards, Donald McLaren
>>>> =================
>>>> D.G. McLaren, Ph.D.
>>>> Postdoctoral Research Fellow, GRECC, Bedford VA
>>>> Research Fellow, Department of Neurology, Massachusetts General Hospital and
>>>> Harvard Medical School
>>>> Office: (773) 406-2464
>>>> =====================
>>>> This e-mail contains CONFIDENTIAL INFORMATION which may contain PROTECTED
>>>> HEALTHCARE INFORMATION and may also be LEGALLY PRIVILEGED and which is
>>>> intended only for the use of the individual or entity named above. If the
>>>> reader of the e-mail is not the intended recipient or the employee or agent
>>>> responsible for delivering it to the intended recipient, you are hereby
>>>> notified that you are in possession of confidential and privileged
>>>> information. Any unauthorized use, disclosure, copying or the taking of any
>>>> action in reliance on the contents of this information is strictly
>>>> prohibited and may be unlawful. If you have received this e-mail
>>>> unintentionally, please immediately notify the sender via telephone at (773)
>>>> 406-2464 or email.
>>>>
>>>>
>>>>
>>>>
>>>> On Tue, Sep 13, 2011 at 5:07 AM, Cyril Pernet <[log in to unmask]> wrote:
>>>>> Hi Bob
>>>>>
>>>>> looks ok - once you 'run' make sure the subjects factors appear in the
>>>>> design matrix (as the factor_matrix.png only showed the factors)
>>>>> conjunctions will be between contrasts 1 0 -1 0 & 0 1 0 -1 and between 1 -1
>>>>> & 1 -1
>>>>>
>>>>> Hope this helps
>>>>> Cyril
>>>>>
>>>>>
>>>>>> Dear SPM experts,
>>>>>>
>>>>>> I am trying to setup a group-level model to test the conjunction of
>>>>>> simple effects. Namely, I have a 2 X 2 within-subjects factorial
>>>>>> design, with factors A (two levels, A1 and A2) and B (two levels, B1
>>>>>> and B2). My current understanding is that it is most appropriate to
>>>>>> model this using a flexible factorial design, with the following
>>>>>> factors:
>>>>>>
>>>>>> 1. Subject
>>>>>> 2. Factor A
>>>>>> 3. Factor B
>>>>>>
>>>>>> I've used the attached parameters (pictured in params.png) and factor
>>>>>> matrix (pictured in factor_matrix.png). As you can see, I've defined
>>>>>> only the interaction among A and B. In this model, my primary interest
>>>>>> is in interrogating the conjunction of the simple effects, e.g. A1>
>>>>>> B1& A2> B2, and also A1> A2& B1> B2.
>>>>>>
>>>>>> Is this model correct? I realize this may be a simple-minded question,
>>>>>> but I'm still living in the days of the one-sample t-test and am
>>>>>> unsure about how to appropriately use the flexible factorial model.
>>>>>>
>>>>>> Sincerely,
>>>>>>
>>>>>> Bob Spunt
>>>>>> Postdoctoral Fellow
>>>>>> Social Cognitive Neuroscience Lab - www.scn.ucla.edu
>>>>>> Department of Psychology
>>>>>> University of California, Los Angeles
>>>>>
>>>>>
>>>>> --
>>>>> The University of Edinburgh is a charitable body, registered in
>>>>> Scotland, with registration number SC005336.
>>>>>
>>>>
>>>
>>
>
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