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1/6/2009
Tuesday morning
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| The Group main effect represents any systematic differences due to
whether the sequence of diets was (A,B,C) or (B,C,A) or (C,A,B).
The Diet main effect represents the effects presumably of interest, that
is, whether the three diets differed in amount of weight loss observed.
The Sequence effect shows whether being the 1st, 2nd, or 3rd diet in the
temporal sequence makes any difference. The remaining 2 d.f. for
assorted interactions is unlikely to be interesting, but if significant
might indicate something that might be worth pursuing. (The problem with
interactions in a Latin square is that GD interactions are confounded
with the S main effect, GS with D, and DS with G.) (The mean square
for Respondents within Group is the error term, or denominator mean
square, against which the mean square for Group is tested; the mean
square for Diet X Respondents within Group is the error mean square for
Diet, Sequence, and the remaining interaction mean square.) |
|
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| I did a weight-loss trial with 51 people comparing 3 diets (alternate
use). Panelists weighed themselves 6 times a day for a week (42 readings
to get an accurate value of weight before new Diet). 17 people had Diet A
1st for 10 weeks. Similarly, 17 people each were started on Diets B or C. |
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| [I might have argued for a further 10 weeks of non-diet, with another
weighing at the end of it; but that would depend on whether your
interest be only in the weight loss attributable to a particular diet,
or to the persistence of that loss after one has stopped dieting.] |
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