## A Course in Multivariate Analysis |

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### Contents

INTRODUCTION | 5 |

CANONICAL ANALYSIS | 68 |

NOTES ON THE HISTORY OF MULTIVARIATE | 105 |

Copyright | |

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### Common terms and phrases

analysis of variance Anderson approximation arises arithmetic Bartlett Berkson's Bionetrika canonical analysis canonical correlation centroid characteristic equation characteristic roots coefficients column component analysis consider constant corre correlation matrix corresponding covariances criterion degrees of freedom determined dimensions discriminant function dispersion matrix distri distribution equal error variances estimate Example extract factor analysis given gives groups hence hypothesis independent individual Kendall largest root latent roots lation Lawley linear function Mahalanobis mathematical maximum likelihood measure method multiple multivariate analysis normal observed obtained orthogonal parameters parent values populations principal component principal component analysis problem random variable rank ratio regard regression theory relation require residual sample values Sankhya significance space standard Statist sum of squares suppose tion transformation uncorrelated unit variance unity univariate variates vectors Wilks Wishart distribution