What and how is the "Compare Densities" plot created in JMP under a one-way ANOVA?

Question

I recently performed a simple one-way ANOVA for a homework problem

For a second part of the problem we are asked to construct a plot to graphically compare the means at the factor levels, specifically like the one shown below

Though this is merely an example from the book. In this plot the mean at each level has a t-distribution constructed along the x-axis. This t-distribution is then scaled by the "best guess" at the population standard deviation $ \sqrt{MS_E / n}$.

I have tried to find a way to recreate this plot in JMP 13 for my given problem, and in this effort I stumbled upon the "Compare Densities" plot. This plot looks very close to that of the one described above, though, obviously there are differences.

I have found JMP notoriously difficult to search on Google, specifically what it is doing exactly. Thus, what is this plot, how is it created, is it similar to the plot described above?

Answer 1

The Compare Densities feature is showing independent kernel density smoothers for each group overlaid.

However, that's not at all the same as the Figure 3.11 from Montgomery's Design and Analysis of Experiments. The curves and arrows in that figure are meant to convey a single curve that is moved horizontally to find a place where it sufficiently covers the dots on the line below it, which represent the observed group means.

For general JMP help, there is a pretty active JMP user community.