Fisher’s protected LSD: insecticides example

An usual way to present results is a list op the treatment means sorted from smallest to largest (or vice versa), and give the same letter to two means that are not statistically different according to the LSD.

Note that the transitive property of equality do not necessarily hold, for example:

Control and Dimecron-Knap are not different from each other (both have letter a).

Dimecron-Knap and Dimecron-Boom are not different from each other (both have letter b).

But control and Dimecron-Boom are different from each other (have different letter a and b respectively).