Multivariate statistics

Multivariate statistics or multivariate statistical analysis in statistics
describes a collection of procedures which involve observation and analysis
of more than one statistical variable at a time.

There are many different models, each with its own type of analysis:

  1. Correlation analysis simply tries to establish whether or not there are
     linear relationships among the variables.
  2. Regression analysis attempts to determine a linear formula that can
     describe how some variables respond to changes in others .
  3. Principal components analysis attempts to determine a smaller set of
     synthetic variables that could explain the original set.
  4. Discriminant Function or Canonical variate analysis attempt to
     establish whether a set of variables can be used to distinguish between
     two or more groups.
  5. Principal coordinate analysis attempts to determine a set of synthetic
     variables that best preserves the distance relationships between
     records.

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