Learning Graph Quality Metrics Report¶
Overview¶
- Total Concepts: 250
- Foundational Concepts (no prerequisites, other concepts depend on them): 20
- Terminal Nodes (nothing depends on them, but have prerequisites): 111
- Orphaned Nodes (completely disconnected, no edges): 0
- Concepts with Dependencies: 230
- Average Dependencies per Concept: 1.60
Graph Structure Validation¶
- Valid DAG Structure: ✅ Yes
- Self-Dependencies: None detected ✅
- Cycles Detected: 0
Foundational Concepts¶
These concepts have no prerequisites:
- 1: xAPI Standard Overview
- 3: SCORM 1.2
- 5: AICC Standard
- 8: IMS LTI
- 9: IMS QTI
- 102: Level 3 Intelligent Textbook
- 126: IndexedDB Storage
- 127: LocalStorage (Browser)
- 128: Service Worker
- 138: Browser DevTools Network Panel
- 140: Charles Proxy
- 141: mitmproxy
- 152: Claude Code Integration
- 179: FERPA Compliance
- 180: COPPA Compliance
- 181: GDPR Compliance
- 194: Fetch API (HTTP)
- 195: JSON Serialization
- 219: HTTPS for xAPI
- 236: Responsive Web xAPI
Dependency Chain Analysis¶
- Maximum Dependency Chain Length: 10
Longest Learning Path:¶
- xAPI Standard Overview (ID: 1)
- xAPI Statement Model (ID: 11)
- Verb Component (ID: 13)
- ADL Verb Registry (ID: 29)
- Custom Verb Profiles (ID: 31)
- Verb IRI Namespace (ID: 32)
- Verb Vocabulary Design (ID: 94)
- xAPI Vocabulary Profile Design (ID: 199)
- xAPI Profile Server (ID: 223)
- Profile Validation (ID: 224)
Terminal Nodes Analysis¶
Terminal nodes are concepts that nothing else depends on but have prerequisites. They represent natural endpoints of learning paths — culminating or specialized concepts.
- Total Terminal Nodes: 111 (44.4% of all concepts)
- Healthy Range: 5-40% of total concepts
Concepts at the end of learning paths:
- 19: Stored Timestamp
- 24: Mutable vs Immutable LRS
- 26: Learning Record Provider (LRP)
- 27: Activity Consumer
- 38: Identified Group
- 40: mbox_sha1sum Identifier
- 41: openid Identifier
- 42: Account Identifier
- 44: Grouping Context Activity
- 45: Parent Context Activity
- 46: Category Context Activity
- 47: Other Context Activity
- 52: Result Response
- 54: Attachment Object
- 55: Sub-Statement
- 56: Statement References
- 60: Agents Endpoint
- 61: Activities Endpoint
- 62: State Endpoint
- 65: Conflict Resolution (LRS)
...and 91 more
Orphaned Nodes Analysis¶
Orphaned nodes are completely disconnected concepts with no inbound AND no outbound edges. These indicate a quality problem — every concept should connect to the graph.
- Total Orphaned Nodes: 0
✅ No orphaned nodes detected. All concepts are connected to the graph.
Connected Components¶
- Number of Connected Components: 1
✅ All concepts are connected in a single graph.
Indegree Analysis¶
Top 10 concepts that are prerequisites for the most other concepts:
| Rank | Concept ID | Concept Label | Indegree |
|---|---|---|---|
| 1 | 11 | xAPI Statement Model | 28 |
| 2 | 57 | LRS Architecture | 20 |
| 3 | 1 | xAPI Standard Overview | 14 |
| 4 | 29 | ADL Verb Registry | 14 |
| 5 | 35 | Agent Object | 8 |
| 6 | 170 | xAPI Competitive Analysis | 8 |
| 7 | 25 | Activity Provider (AP) | 7 |
| 8 | 182 | PII in xAPI Statements | 7 |
| 9 | 156 | Learner Archetype Modeling | 6 |
| 10 | 225 | Learning Analytics Overview | 6 |
Outdegree Distribution¶
| Dependencies | Number of Concepts |
|---|---|
| 0 | 20 |
| 1 | 121 |
| 2 | 90 |
| 3 | 14 |
| 4 | 2 |
| 5 | 1 |
| 6 | 1 |
| 7 | 1 |
Recommendations¶
- ℹ️ High terminal node percentage (44.4%): Consider if some terminal concepts should be prerequisites for advanced concepts
- ✅ DAG structure verified: Graph supports valid learning progressions
Report generated by learning-graph-reports/analyze_graph.py