Do you perhaps mean exclusion criteria?
If we stick to comorbidity as an example, then excluding comorbid patients would mean
that factors are excluded which would (probably) not be affected by the treatment. But
these factors can independenttly affect the outcome, e.g. symptom severity. Now the
problem is, every factor independently affecting the outcome will increase variablilty of
the outcome across treatments (since allocation to groups is randomized, comborbidity
will evenly be distributed across groups). This additional variabilty will be independent
of treatment effects. So you will have more "random noise" in your outcome, which
means that difficulty increases to detect the "signal" (the treatment effect). The probabilty
to detect the signal (treatment effect) is another description of statistical power.
As a general rule, in order to increase statistial power to detect the effect of a variable,
you can try to reduce random noise, i.e. exclude subject characteristics which increase
variability. The downside of this is, in extreme you might study populations which
have little to do with those in the real world (for example, many medications
are used by people age 70+, but studies are carried out with subjects aged < 60;
or, comorbidities are excluded, but 80% of subjects with a certain condition
do have comorbidities).
Hope that helps.
Good look to you all in Italy. Hopefully the worst will soon be over for you.
With kind regards
Karabiner