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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. Canonical correlation analysis tries to establish whether or not there are linear relationships among two sets of variables (covariates and response).
  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.
  6. Linear discriminant analysis (LDA) computes a linear predictor from two sets of normally distributed data to allow for classification of new observations.
  7. Logistic regression allows to perform a regression analysis to estimate and test the influence of covariates on a binary response.




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