Relationship Analysis Report

Context

• Relationship Analysis produces a comprehensive report containing information-theoretic and statistical measures computed from the given Bayesian network.
• While many of these measures are available individually in other reports and visualizations, this report compiles all of them into concise tables.

Usage

1. Highlight the arcs to analyze. If none are selected, the analysis will be performed on all arcs in the network.
2. To launch the Relationship Analysis, select Main Menu > Analysis > Report > Relationship.
3. Alternatively, use the shortcut Ctrl + R to launch the report.
4. The analysis process can be stopped at any time. In that case, the report will include only the measures computed up to that point.
5. The Relationship Analysis report opens in a new window, containing four tables.

Interpretation

Analysis Context

• The Analysis Context table lists any evidence set when running the report along with its Joint Probability.

• If no evidence is set, the Analysis Context displays No Observation.

Relationship Analysis Statistics

• The Relationship Analysis Statistics table reports the Sum, Mean, and Standard Deviation for:
  • KL Divergence (Arc Force)
  • Mutual Information
  • Information Gain Estimate

Relationship Analysis Table

• Covers all selected arcs, i.e., all corresponding parent-child relationships.

• Key Columns:
  • Parent and Child Nodes: Background colors match assigned node colors in the network.
  • KL Divergence: Kullback-Leibler Divergence for all selected arcs, listed in descending order.
  • Relative Weight: Top row is set to 1, with subsequent rows shown as a fraction of the top row.
  • Global Contribution: Fraction of the KL Divergence of a row compared to the total KL Divergence across all rows.
  • Mutual Information: Information shared between variables.
  • GKL-test: Independence test based on KL Divergence, accounting for filtered states.
  • Degree of Freedom: Used to compute independence probability.
  • p-value: Independence probability for the GKL-test.
  • Chi2-test/G-test on Data: If data is associated, independence tests are computed from the data.
  • Pearson Correlation: Pearson's Correlation coefficient for each arc.

Node Force Table

• Represents Node Force Analysis:
  • Outing Force: Sum of forces from outgoing arcs.
  • Entering Force: Sum of forces from incoming arcs.
  • Global Force: Combined sum of entering and outing arc forces.