Boxplots of independent random samples drawn from 4 populations are shown above. Adjust the sliders to change the population means and standard deviations.
Points to ponder:
Under what conditions does most of the variability come from within groups?
Under what conditions does most of the variability come from between groups?
What would you expect to see in the boxplots when the p-value is small?
If the means of the samples are close together, what do you expect the F statistics to look like?
Kady Schneiter, 2 October 2013, Created with GeoGebra