Binary Logistic Regression

Residual Plots - Histogram of the Residuals

  

A histogram of the 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

Interpretation

For the cereal data, one group of residuals is most frequent around -0.75 and the second group is most frequent around 1.25. This pattern often means not enough data is in the set for normal approximation theory to apply. Confidence intervals for predictions are probably inaccurate.

Two observations have standardized deviance residuals that are greater in absolute value than 2.