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SAS/ETS(R) 9.2 User's Guide

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The SIMILARITY Procedure

Sequence Scaling

The working input sequence can be scaled to the working target sequence. Sequence scaling is applied after normalization. Let ${y_{j}}$ be the working target sequence with mean, ${\mu _{y}}$, and standard deviation, ${\sigma _{y}}$. Let ${x_{i}}$ be the working input sequence and let ${q_{i}}$ be the scaled sequence. The scaling is defined as follows:

  • Standard is the standard normalization

      \[ q_{i} = (x_{i} - \mu _{y}) / \sigma _{y} \]    
  • Absolute is the absolute scaling

      \[ q_{i} = (x_{i} - {min}({y}_{j})) / ({max}({y}_{j} - {min}({y}_{j})) \]    
  • User-Defined is a user-defined scaling

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