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Goodness of Fit of Discriminant Functions from the Vector Space of Fixed Variates
Author(s) -
Kabe D. G.
Publication year - 1981
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710230206
Subject(s) - mathematics , goodness of fit , discriminant , mathematical proof , vector space , random variate , statistics , multivariate random variable , combinatorics , random variable , pure mathematics , geometry , computer science , artificial intelligence
Alternative proofs of some of KSHIRSAGAR's (1971) results on testing discriminant functions or canonical variables in the vector space of fixed variates are given. These results are derived in terms of the original variates unlike KSHIRSAGAR (1971) who derives the results by using random orthogonal transformations and triangular decompositions of the original matrix variates.