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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