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Chapter Notes
Authors:Frederick Mosteller
Institution:Harvard University , USA
Abstract:Tests for redundancy of variables in linear two-group discriminant analysis are well known and frequently used. We give a survey of similar tests, including the one-sample T 2 as a special case, in the situation in which only the mean vector (but no covariance matrix) is available in one sample. Then we show that a relation between linear regression and discriminant functions found by Fisher (1936) can be generalized to this situation. Relating regression and discriminant analysis to a multivariate linear model sheds more light on the relationship between them. Practical and didactical advantages of the regression approach to T 2 tests and discriminant analysis are outlined.
Keywords:Mahalanobis distance  Multivariate location test  Partial F  Redundancy of variables  Variable selection  Conditional mean difference
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