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Analysis of Multivariate and High-Dimensional Data by Inge Koch

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4

Discriminant Analysis

‘That’s not a regular rule: you invented it just now.’ ‘It’s the oldest rule in the book,’ said the King. ‘Then it ought to be Number One,’ said Alice (Lewis Carroll, Alice’s Adventures in Wonderland, 1865).

4.1 Introduction

To discriminate means to single out, to recognise and understand differences and to distinguish. Of special interest is discrimination in two-class problems: A tumour is benign or malignant, and the correct diagnosis needs to be obtained. In the finance and credit-risk area, one wants to assess whether a company is likely to go bankrupt in the next few years or whether a client will default on mortgage repayments. To be able to make decisions in these situations, one needs to understand what distinguishes ...

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