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Table 3 Kendall tau correlation among the rankings of clinical classes using the normalized entropic measures (\(Z(\alpha )\), \(Z(\beta )\), and Z(UR))

From: Entropic measures of complexity in a new medical coding system

     Forward mapping Backward mapping
     \(Z(\alpha )\) \(Z(\beta )\) Z(UR) \(Z(\alpha )\) \(Z(\beta )\) Z(UR)
ICD-9-CM Vol 3. \(<>\) ICD-10-PCS \(Z(\alpha )\)   0.99 0.99   0.97 0.97
\(Z(\beta )\) 0.99   1.00 0.97   1.00
Z(UR) 0.99 1.00   0.97 1.00  
ICD-9-CM \(<>\) ICD-10-CM \(Z(\alpha )\)   0.85 0.87   0.57 0.88
\(Z(\beta )\) 0.85   0.98 0.57   0.66
Z(UR) 0.87 0.98   0.88 0.66  
  1. The symbol \(<>\) is used to signify mapping between the indicated medical coding systems