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Dear FSL team,

I am unsure as to when it is vs isn't worth including extraneous factors as
EVS in one's design.

For instance, say that my sample is formed of people in their early 20s,
and with an even gender distribution. I am not interested in the effect of
either of these factors and just want to check group differences and
brain-behaviour correlations "across the board", with the aim of maximising
the external validity of my inference.

How can the following two contradictory (but, seems to me, equally valid)
points of view be reconciled, and is one of them better to follow than the
other:

1) Since age and gender clearly *do* have an effect on brain structure,
these two factors need to be included as EVS in any design, even if one is
not directly interested in their effect, simply to factor out variance
of-no-interest that is due to them. Not doing this can lead to both Type I
or Type II errors, e.g. if some of this variance of-no-interest is
mistakenly attributed to factors of interest such as group or behavioural
score.

2) Each added EV takes away statistical power, and so unless one is
interested in the effect of e.g. age, one should not have to "pay the
price" for having them in the design. It's OK to not code for nuisance
variables like age and gender just as it is OK to not code for other
uninteresting things, like whether someone is or isn't a smoker. In
particular, it is all the more OK to not code for age if the sample's age
range is reduced.

I realise this may be a statistical point of contention but it'd be really
helpful to hear your views on it!  Anticipated thanks!

Tudor