> what are the TWO treatments?

I don't actually know off-hand, I didn't conduct the study - I'm just
helping to analyse the data. I'll find out and let you know ASAP.

>
> if what i see here is right ...
>
> 1. you have pre and post
> 2. weak and strong
> 3. treatment 1 and 2??????
>
> if you have randomly assigned Ss to the 2 levels of #3 ... and then sorted
> the Ss into weak/strong for purposes of analysis ...
>
> you would have a blocking variable for level of ability ... low/high
>
> this would call for (if i am reading it correctly) a 2 by 2 by 2 anova ...
> that's one way to do it with #1 being a within Ss factor ... and #2 and #3
> being between Ss factors ....
>
> the interactions might be of most difference ... asking if the weak or
> strong change the most ... while perhaps ALL change ... it a positive
> direction
>

I've thought about an appropriate ANOVA model and the best I can come up
with is:

Yijk = mew + Ai + Bj + ABij + Eijk

Ai: a fixed factor representing the treatments (2 levels)
Bj: a fixed factor representing prior perfromance (2 levels)
ABij: an interaction between Ai and Bj
Yijk:  the score of the kth child who received treatment i and is from group
j
Eijk: random error

However, I suspect that this model is inapporpriate, as the Eijk term will
represent between subjects (children) variation, which AFAIK should not be
included in the estimate of random error.




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