## Correspondence Analysis HandbookThis practical reference/text presents a complete introduction to the practice of data analysis - clarifying the geometrical language used, explaining the formulae, reviewing linear algebra and multidimensional Euclidean geometry, and including proofs of results. It is intended as either a self-study guide for professionals involved in experimental research, or as a text for graduate level courses in multidimensional statistics.;The book features fully worked-out exercises, without the help of a computer, illustrating the constructions of correspondence analysis. It gives details of how to prepare, read and interpret computer results, including a complete FORTRAN program listing of the basic algorithms of factor analysis and classification. Sixteen case studies from medicine and biology, economics and the humanities, demonstrate a selection of data and interpretation of results. A foundation for agglomerative hierarchical clustering is provided. |

### Contents

THE THEORY | 1 |

ANALYSIS | 57 |

Vector Geometry and Affine Geometry | 131 |

Euclidean Geometry | 183 |

Algebraic Definition of the Principal Axes of Inertia | 201 |

Proof of the Properties of the Factors | 231 |

Correspondence Analysis | 245 |

The Cloud NJ | 262 |

INTERPRETATION | 377 |

Socioprofessional | 418 |

Family Budgets | 437 |

The Employment of French Verbs According | 452 |

The Craniometry of the Equidæ | 465 |

AGGLOMERATIVE HIERARCHICAL | 484 |

United Nations General Assembly Voting Pattern | 485 |

Typology of the Effects of Nitroglycerin IV | 501 |

Simultaneous Representation of | 273 |

Interpretation | 286 |

Adjoining Supplementary Elements | 294 |

PART III | 309 |

Comments on the Output of the Analysis | 317 |

A FORTRAN Program for Correspondence Analysis | 355 |

Overview of a Program Library for Data Analysis | 372 |

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### Common terms and phrases

A₁ affine geometry affine subspace algebraic angle axes of inertia axis barycentre basis vectors calculated Card centre of gravity Chapter cloud N cloud N(I coefficients column computations coordinates correspondence analysis cosine d²(f d²(G data table defined denote deviation directed segments eigenvalue eigenvectors equal Euclidean space example expression f₁ F₁(i Fa(i factorial axes factors free vector function Ga(j geometry GM¹ inertia with respect Ip(N likewise m₁ marginal masses f maximum mean multidimensional N(IO norm obtained orthogonal projection orthonormal basis parallel perpendicular plane principal axes properties real numbers relative contribution representation scalar product space of profiles square subspace of dimension Supp(I supplementary elements table k₁ total inertia transition formula triangle unit vector variables vector space vector subspace verbs write zero λ₁