One-Way ANOVA

Graphs - Residuals versus the Variables

  

This graph plots the residuals versus another variable. The residuals should fluctuate in a random pattern around the center line. If the variable is already included in the model, use the plot to determine if you should add a higher-order term of the variable. If the variable is not already included in the model, use the plot to determine if the variable is influencing the response in a systematic way.

Use this plot to look for the following:

This pattern...

Indicates...

Pattern in residuals

The variable is influencing the response in a systematic way

Curvature in the points

A higher-order term of the variable should be included in the model

 

Example Output

image\aov1_7n.gif

image\aov1_8n.gif

Interpretation

For the paint hardness data, the residuals appear to be randomly scattered about zero. No evidence exists that there is a pattern in the residuals or curvature in the data. The plot indicates that the temperature at which the samples were cured does not seem to have a systematic effect on the response.