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1/6/2009
Tuesday morning
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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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| Randomised comparison of diets for maintaining obese subjects weight after
major weight loss: ad lib, low fat, high carbohydrate diet v fixed energy
intake. |
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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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