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 created by the FCMP procedure.