I'm pondering a recent study by Ebberling (2006) on the effect of 
reducing soft drink consumption on body mass index (BMI) in teen-agers. 
There are some things that bug me about their paper, and I'm looking for 
advice and comment from the list, or at least from those of you who get 
their jollies from contemplating experimental design and analysis. The 
rest of you will suddenly remember your appointment with the dentist.

(Warning: I may submit this and there will probably be no place to credit 
anyone for help they may provide here. If that's ok, read on...)

Ebberling et al randomly divided their participants (n = 103) into two 
groups. One got free no-cal drinks in place of their usual soft drinks 
(ok, pop to you; they called them SSBs---sugar-sweetened beverages) which 
the kids previously had guzzled with abandon.  The other (control) group 
continued to knock back the pop. Twenty-five weeks later they evaluated 
change in BMI.

They analyzed their results using multiple linear regression, with which 
I'm not familiar. Nevertheless the result was clear: a small, non-
significant decrease in BMI for the experimental group.

So did they conclude that they had failed to show that eliminating pop  
reduced BMI? Not a chance. What they actually concluded was the opposite, 
namely "Decreasing the consumption of SSBs seems to be a promising 
strategy for the prevention and treatment of overweight adolescents." 

They did this by invoking the dreaded post-hoc and sub-group analysis 
manoeuver. They noted that baseline BMI was significant as an "effect 
modifier", meaning (I think)  that the heavier they started out, the more 
weight they lost. I think this must have been for the groups combined.  
They did show separate scatterplots (Fig 2 A and B) of BMI change vs 
baseline BMI for control and experimental groups with regression lines 
for each. The points were all over the place, and there was nothing 
obviously different between the groups, at least to my eyeball. The 
experimental line did head down with increasing BMI; the control didn't. 

Then they asserted (just like that) that "the intervention effect was 
significant for baseline BMI > 30", citing only Figure 2C. Figure 2C 
shows a "95% confidence band on difference between study groups". I 
believe this line must be the difference between the two regression lines 
with 95% limits displayed. The confidence limits stop including zero at a 
BMI of 30. So they concluded they had a significant effect after a BMI of 
30.

Finally my question. Is this kosher? By scanning down the difference 
regression line until you get to a place you like, isn't that the 
equivalent of doing multiple tests without correction? Of course, if I'm 
right, I don't know how I'd express this so I'd sound as though I know 
what I'm talking about.

Curiously, this finding isn't mentioned in their abstract. There they 
only mention another data-dredged comparison. They divided their subjects 
into thirds based on pre-experimental BMI. They found that that for the 
heaviest third, lo and behold, there was a significant post-treatment 
drop in BMI compared with the control group.

Now this implies three separate comparisons, and if they Bonferroni-
corrected, it wouldn't fly. But that doesn't bother me, because I think 
it's a reasonable prediction beforehand that only the heaviest would 
benefit from kicking pop (even if, as they presented it, they hadn't 
actually planned this). No, what bothers me is why they chose thirds. Why 
not fourths, or divide their groups in half? Actually, overweight in 
adolescents is conventionally defined as a BMI above 85% of the 
population at that age. Elsewhere, they make use of that 85% criterion, 
but not here. If they had, I would accept their result. But dividing into 
thirds makes me wonder, especially as the experimental group has one 
really nice outlier (decrease in BMI) which falls just within the 
experimental sub-group as they've defined it. Shift the divider slightly 
back, and it includes nasty data best left out; shift it forward, and 
that nice point goes to the control. 

So I asked them politely for the raw data to do my own analysis. They 
refused. Given that the APA explicitly tells its authors to fill such 
requests promptly and cooperatively (or something like that), that 
doesn't seem too welcoming of them. does it?

One more thing. At a critical point in their Results, they say this: 
"Among the subjects in the upper baseline-BMI tertile...BMI change 
differed markedly between the intervention...and the control...(p= .03), 
whereas no significant group difference was seen for the subjects in the 
middle and lower tertiles (p =.04 for interaction). What does this mean?  
They explained it to me, but I'm still not sure.

Stephen


Ebberling, C. et al (2006). Effects of decreasing sugar-sweetined 
beverage consumption on body weight in adolescents: a randomized, 
controlled pilot study. Pediatrics 117, 673--

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Stephen L. Black, Ph.D.          
Department of Psychology     
Bishop's University                e-mail:  [EMAIL PROTECTED]
Lennoxville, QC J1M 1Z7
Canada

Dept web page at http://www.ubishops.ca/ccc/div/soc/psy
TIPS discussion list for psychology teachers at
http://faculty.frostburg.edu/psyc/southerly/tips/index.htm
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