« Choosing statistical tests | Main | MAGNITUDE, direction and statistical significance »

Hierarchical group means


When analyzing randomized groups by their individual measurements the degree of imprecision can/should be used to "shrink" the estimated group mean towards the overall mean, as shown below.

Overall mean is given by the yellow RR crossing shape.

Note that taking a simple group mean and taking a mixed model hierarchical group mean gives a different ranking of the black and red groups. This is because the red dots are closer (more precise).

Shrinkage.JPG