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Top 2-way interaction strength tables for Fit Model and Discover Key Predictors with TreeNet® Classification

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Note

This command is available with the Predictive Analytics Module. Click here for more information about how to activate the module.

Find interpretation guidance for the interaction strength tables.

The top 2-way interaction strength tables identify the pairs of variables that have the strongest interactions. The interaction tables display the % of total squared error and/or the % of squared error for the strongest 2-way interactions. Use the % of total squared error to describe the strength of the interaction relative to the variation in the data. Use the % of squared error for the specific pair of variables to describe the strength of the interaction relative to the strength of the main effects of the variables.

Interactions are not possible when a tree has only 2 terminal nodes. Thus, the maximum terminal nodes per tree must be 3 or larger. You can set this on the Options subdialog.
Note

Minitab does not display the interaction tables if all interactions have a % of total squared error or a % of squared error less than 10%.

Interpretation

In this example, the six strongest 2-way interactions are the same for both tables; however, the ordering varies slightly. In the first table, the interaction between Major Vessels and Thal is the strongest 2-way interaction. The percent of total squared error is 6.05581 which means that 6.05581% of the total squared error is explained by the main effects of Major Vessels and Thal and their 2-way interaction effect.

For the same 2-way interaction between Major Vessels and Thal, the percent squared error for the predictor pair with main and interaction effects is 11.08252%.

To calculate, 11.08252% = Component 3 / ( Component 1 + Component 2 + Component 3) * 100%
  • Component 1 = the squared error explained by the first main effect, Major Vessels
  • Component 2 = the squared error explained by the second main effect, Thal
  • Component 3 = the squared error explained by the interaction between Major Vessels and Thal and their main effects

TreeNet® Classification: Heart Diseas vs Age, Rest Blood P, Cholesterol, ...

Top 2-Way Interaction Strength % of Total Squared Error Predictor 1 Predictor 2 6.05581 Major Vessels Thal 6.04284 Chest Pain Type Major Vessels 4.94873 Thal Old Peak 4.42358 Major Vessels Cholesterol 3.95660 Thal Age 1.44046 Age Max Heart Rate Strength: Percent of total squared error explained by a 2-way interaction
% of Squared Error Predictor 1 Predictor 2 11.47879 Major Vessels Cholesterol 11.39675 Thal Old Peak 11.38103 Thal Age 11.08252 Major Vessels Thal 10.94302 Chest Pain Type Major Vessels 10.23224 Age Max Heart Rate Squared Error: Specific to each predictor pair with main and interaction effects Strength: Percent of the squared error explained by the pair interaction
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