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.