Half-Normal Probability Plot

The following describes the Half-Normal Probability plot for analyzing Design of Experiments results with MLR.

Half-Normal Probability Plot

Access

Half-Normal plots are used to identify which experiment factors have important effects on the response. Clicking on the 'Half-Norm' menu button will open a Half-Normal probability plot.

Interpretation

This plot shows the magnitude of the experiment's effects as “Standardized Effects”, ordered in increasing magnitude, along the x-axis. The y-values are given by the idealized expected values for this number of effects if they were drawn from a half-normal distribution. A half-normal distribution is the distribution of the abs(X) with X having a normal distribution with mean zero.

The plot contains a straight red line which is drawn through the expected values of N effects if all of the effects are small. Factors having small effects will be plotted near the plot’s straight red line. Factors having large effects will be plotted farther to the right, and this is how important effects are identified in the Half-Normal plot. Factor A is likely to be an important effect for the DOE shown in the figure below because its data point lies well off the straight red line. The other effects are likely to have unimportant effects since they lie close to the red line.

Further information on Half-Normal plot

For a full discussion of Half-normal Probability plots see:

http://www.itl.nist.gov/div898/handbook/pri/section5/pri598.htm