| So far weve considered weight loss as the simple difference between
average pre-diet weight and average post-diet weight. But you migh wish
also to consider relative weight loss: that difference as a proportion
of pre-diet weight. Same structure and analysis, possibly different
results. Or use pre-diet weight as a covariate for the simple weight
loss as a response variable. There may also be interesting comparisons
to be made between the several pre-diet average weights; one can imagine
that these might differ depending on which diet preceded them, or on
their position in the temporal sequence. |
|
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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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| Suppose you are interested in differences in weight loss as a function of
the several diets. For each person, you have 3 weight-loss values,
being the difference between measurements at #1 and #3 above, between #5
and #7, and between #9 and #11. For conceptual simplicity, lets take
those as differences between the averaged values. (What _kind_ of
averages may also be up for grabs; the median of each set of 42 values
might be best, as being relatively uninfluenced by unexpected, and
perhaps unaccountable, extreme values for an individual.) These values
are in a Latin square structure that can be displayed thus: |
