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  • Specifying an error term in a two-factor, repeated measures ANOVA.

    Hi Everyone,

    I am trying to specify a two-factor repeated-measures ANOVA. I've gone through the documentation and the UCLA help page, but I believe that I am mispecifying my error term. NB: I found the syntax Stata uses for this to be uncharacteristically awkward. I'm comparing my calculated model against a model calculated in SPSS that is known to be accurate. The data I am using come from Andy Field's most recent textbook on SPSS, and deal with a 3x3 repeated measures design. In other words, each person experiences each of the nine conditions exactly once.

    Here is an example of the data:

    Code:
           id   attitude   drink   imagery  
      1.    1          1       1         1  
      2.    1          6       1         2  
      3.    1          5       1         3  
      4.    1         38       2         1  
      5.    1         -5       2         2  
      6.    1          4       2         3  
      7.    1         10       3         1  
      8.    1        -14       3         2  
      9.    1         -2       3         3  
     10.    2         43       1         1  
     11.    2         30       1         2  
     12.    2          8       1         3  
     13.    2         20       2         1  
     14.    2        -12       2         2  
     15.    2          4       2         3  
     16.    2          9       3         1  
     17.    2        -10       3         2  
     18.    2        -13       3         3
    id = participant id
    attitude = dv
    drink = factor 1
    imagery = factor 2

    Frustratingly, I can get all relevant F-statistics to match the "known model", but Stata is indicating that I've explained all variability in the model which shouldn't be the case.

    This is how I'm specifying my model:

    Code:
    anova attitude drink id / drink#id imagery/ imagery#id drink#imagery/ drink#imagery#id, repeated(drink imagery)
    Can anyone point me in the right direction to explain what exactly is happening?

    Thanks a lot!

    Cheers,

    David.

  • David Speed
    replied
    Thanks Joseph!

    Leave a comment:


  • Joseph Coveney
    replied
    Originally posted by David Speed View Post
    Could you explain why . . . the term is incorrect?
    It's not incorrect. It's redundant.

    anova automatically includes the residual (error) term, and so you shouldn't.

    Leave a comment:


  • David Speed
    replied
    Hi Joseph,

    Thanks for your help, the syntax produced accurate values. Something I'm struggling with is trying to understand the logic of the error term. Could you explain why the bolded part of the term is incorrect?

    Code:
    anova attitude id drink / drink|id imagery / imagery|id drink#imagery / drink#imagery|id, repeated(drink imagery)
    I would understand this to mean that the interaction of drink and imagery is itself nested within participant ID. But When I include it the model produces the same issue, could you point out my misunderstanding?

    Cheers,

    David.

    Leave a comment:


  • Joseph Coveney
    replied
    Originally posted by David Speed View Post
    Stata is indicating that I've explained all variability in the model
    Your drink#imagery#id is the residual (error) term and is redundant.

    Try something like the following.

    .ÿversionÿ15.1

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    ÿÿÿÿÿLowestÿb.s.e.ÿvariable:ÿÿpid

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    Repeatedÿvariable:ÿimg
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    ÿÿÿÿÿÿÿÿÿÿÿÿÿÿ-----------+----------------------------------------------------
    ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿimgÿ|ÿÿÿÿÿÿ2ÿÿÿ122.56ÿÿÿ0.0000ÿÿÿ0.0000ÿÿÿ0.0000ÿÿÿ0.0000
    ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿimg|pidÿ|ÿÿÿÿÿ38
    ÿÿÿÿÿÿÿÿÿÿÿÿÿÿ----------------------------------------------------------------

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    ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿGreenhouse-Geisserÿepsilonÿ=ÿÿ0.7984
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    .ÿ
    .ÿexit

    endÿofÿdo-file


    .

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  • David Speed
    replied
    Hi Marcos,

    Unfortunately that doesn't work, although that was very similar to how I initially specified the model! Stata requires that ID be included in the initial specification, and when it is the values for for drink and imagery are both incorrect (although the imagery F-value is correct). Any other thoughts?

    Cheers,

    David.

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  • Marcos Almeida
    replied
    You may start by something like:

    Code:
      anova attitude drink##imagery  / id|imagery#drink imagery drink , repeated(drink imagery)
    Last edited by Marcos Almeida; 08 Feb 2019, 11:25.

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