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Learning Graph Quality Metrics

Course: Data-Driven Ethics and Systems Change Assessment Date: 2025-11-30 Total Concepts: 250

DAG Validation

Check Status
Self-references None found
Cycles None found
Valid DAG Yes

Dependency Statistics

Metric Value
Total concepts 250
Foundational concepts (zero dependencies) 5
Average dependencies per concept 1.65
Maximum dependencies per concept 4
Concepts with 1+ dependencies 245

Foundational Concepts (Prerequisites)

These concepts have no dependencies and serve as entry points:

  1. Ethics (ID: 1) - Core foundation of the course
  2. Scientific Method (ID: 6) - Methodology foundation
  3. Critical Thinking (ID: 7) - Reasoning foundation
  4. Data Literacy (ID: 9) - Data skills foundation
  5. Complex Systems (ID: 82) - Systems thinking foundation

Top Concepts by Indegree

These are the most depended-upon concepts (likely core knowledge):

Concept Indegree Role
Harm Quantification (27) 15+ Central measurement concept
Systems Thinking (81) 20+ Core analytical framework
Behavioral Economics (199) 8+ Intervention design base
Cognitive Biases (24) 5+ Bias understanding base
System Archetypes (107) 8 Pattern recognition base

Disconnected Subgraphs

Status: All 250 concepts are connected to the main graph through dependencies.

Linear Chain Analysis

The graph has good branching with multiple learning pathways:

  • Most concepts connect to 2-3 other concepts
  • Multiple entry points through foundational concepts
  • Good cross-domain connections (e.g., systems thinking connects to advocacy)

Quality Score

Overall Quality Score: 88/100

Scoring Breakdown:

Category Score Notes
DAG validity 20/20 No cycles or self-references
Foundational concepts 15/15 5 clear entry points
Dependency distribution 18/20 Good average, some linear chains
Cross-domain connections 15/20 Good connections between topics
Concept coverage 20/25 Comprehensive, 250 concepts

Recommendations

  1. The graph is well-structured for a valid DAG
  2. Consider adding more cross-domain dependencies to enhance learning pathways
  3. The 5 foundational concepts provide clear starting points for learners
  4. Industry case studies are well-connected to measurement frameworks