[Rasch] Mean diferences and measurement error

Mike Linacre (RMT) rmt at rasch.org
Sun Jun 3 20:12:47 EST 2007

Dear Andrés:

You wrote: I mean something like sqrt(sampling error^2 + measurement 
error^2) and so assess better mean groups differences?

Generally speaking, you are correct. Combining measures which have 
measurement errors is the same as combining the means and standard 
deviations of pooled samples of (supposedly) error-free measures. If the 
measurement errors differ across the measurements, you may also want to 
weight the measures when computing their means.

Mike Linacre
Editor, Rasch Measurement Transactions
rmt at rasch.org www.rasch.org/rmt/ Latest RMT:  20:4 Spring 2007
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