Partial Least Squares

Residual Analysis Plots - Residual Histogram

  

A histogram of the standardized residuals shows the distribution of the residuals for all observations. Use the histogram as an exploratory tool to learn about the following characteristics of the data:

·    Typical values, spread or variation, and shape

·    Unusual values in the data

The histogram of the residuals should be bell-shaped. Use this plot to look for the following:

This pattern...

Indicates...

Long tails

Skewness

A bar far away from the other bars

An outlier

Because the appearance of the histogram can change depending on the number of intervals used to group the data, use the normal probability plot and goodness-of-fit tests to assess whether the residuals are normal.

Example Output

image\plsr_10n.gif

 

image\plsr_11n.gif

Interpretation

For the soybean data, there are two histograms, one for moisture and one for fat.

·    The histogram of the standardized residuals for moisture reveals possible outliers in the data, indicated by the bars on the far right side of the plot.

·    The histogram of the standardized residuals for fat reveals a bell-shaped, symmetric pattern, indicating the residuals are not skewed and there are no outliers.