mean vs. adjusted mean [General Sta­tis­tics]

posted by Helmut Homepage – Vienna, Austria, 2010-03-19 15:39 (5940 d 17:57 ago) – Posting: # 4941
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Ahoy ElMaestro, hi Yuvraj!

❝ ❝ I am not getting why we used geometric least square means instead of mean in BA/BE studies.


❝ [...] we end up with a quantity that can be thought of as the geometric mean.

❝ Example (somewhat simplified):

❝ Consider these three AUCs for Test: 10.1, 12.4, 11.4

❝ And for Ref                          : 11.5, 11.6, 13.2


Just for the record: The term “least squares means” is ‘invented’ by
[image].
In statistical textbooks you may find the term “adjusted means”.
Adjusted means are used if the design is imbalanced (in the balanced case, geometric means = adjusted means). If in ElMaestro’s example we don’t have the third values for the test, the geometric mean for test will be 11.2, but without knowing the design and running the model we have no idea what the adjusted mean is.

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