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Simple Statistics: THE SPREAD continued

** Root Mean-Square Error (RMSE)
**

Here's an example.
Suppose you have heights for a group of females and males. If you
analyze the data without regard to the sex of the subjects, the
measure of spread you get will be the **total variation**. But
stats programs can take into account the sex of each subject, work
out the means for the boys and the girls, then derive a *single*
SD that will do for the boys and the girls. That single SD is the
RMSE. Yes, you can also work out the SDs for the boys and girls
separately, but you may need a single one to calculate
effect sizes. You can't simply average the
SDs.

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