72d0bf3d3e
Key finding: Eccentricity is the only metric significantly correlated with conceptual depth (r=-0.380, p=0.029). Local centrality measures (degree, betweenness, closeness) show no significant correlation. New files: - compute_centrality.py: Computes 8 graph metrics - centrality_comparison.png: Visual comparison of all metrics - Updated paper with full analysis Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
86 lines
2.0 KiB
JSON
86 lines
2.0 KiB
JSON
{
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"analysis_type": "centrality_correlation",
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"n_nodes": 33,
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"metrics": [
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{
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"name": "Eccentricity",
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"key": "eccentricity",
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"pearson_r": -0.3796,
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"pearson_p": 0.029349,
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"spearman_r": -0.2988,
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"spearman_p": 0.091181,
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"r_squared": 0.1441,
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"significant": true
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},
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{
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"name": "Closeness Centrality",
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"key": "closeness",
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"pearson_r": -0.2699,
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"pearson_p": 0.128801,
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"spearman_r": -0.1804,
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"spearman_p": 0.315126,
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"r_squared": 0.0728,
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"significant": false
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},
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{
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"name": "Degree Centrality",
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"key": "degree",
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"pearson_r": -0.2643,
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"pearson_p": 0.137147,
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"spearman_r": -0.2362,
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"spearman_p": 0.18565,
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"r_squared": 0.0699,
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"significant": false
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},
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{
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"name": "PageRank",
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"key": "pagerank",
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"pearson_r": -0.257,
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"pearson_p": 0.148771,
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"spearman_r": -0.1908,
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"spearman_p": 0.287516,
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"r_squared": 0.0661,
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"significant": false
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},
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{
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"name": "Clustering Coefficient",
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"key": "clustering",
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"pearson_r": -0.2191,
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"pearson_p": 0.2205,
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"spearman_r": -0.2761,
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"spearman_p": 0.119934,
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"r_squared": 0.048,
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"significant": false
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},
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{
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"name": "Betweenness Centrality",
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"key": "betweenness",
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"pearson_r": -0.1716,
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"pearson_p": 0.339655,
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"spearman_r": -0.0801,
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"spearman_p": 0.657858,
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"r_squared": 0.0294,
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"significant": false
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},
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{
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"name": "Eigenvector Centrality",
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"key": "eigenvector",
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"pearson_r": -0.1482,
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"pearson_p": 0.410425,
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"spearman_r": -0.2367,
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"spearman_p": 0.184728,
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"r_squared": 0.022,
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"significant": false
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},
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{
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"name": "Avg Neighbor Degree",
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"key": "avg_neighbor_degree",
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"pearson_r": 0.0517,
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"pearson_p": 0.775231,
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"spearman_r": -0.3006,
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"spearman_p": 0.089172,
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"r_squared": 0.0027,
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"significant": false
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}
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]
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} |