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SAS/ETS(R) 9.2 User's Guide

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The SIMILARITY Procedure

Sequence Normalization

The working (input or target) sequence can be normalized to prior to further analysis. Let ${q_{i}}$ be the original sequence with mean, $\mu _{q}$, and standard deviation, $\sigma _{q}$; and let ${r_{t}}$ be the normalized sequence. The normalizations are defined as follows:

  • Standard is the standard normalization

      \[ r_{i} = (q_{i} - \mu _{q}) / \sigma _{q} \]    
  • Absolute is the absolute normalization

      \[ r_{i} = (q_{i} - {min}({q}_{i})) / ({max}({q}_{i} - {min}({q}_{i})) \]    
  • User-Defined User-defined normalization

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