Discriminant Function Analysis - Discrimination Rules

Discrimination Rules

  • Maximum likelihood: Assigns x to the group that maximizes population (group) density.
  • Bayes Discriminant Rule: Assigns x to the group that maximizes, where represents the prior probability of that classification, and πi represents the population density.
  • Fisher’s linear discriminant rule: Maximizes the ratio between SSbetween and SSwithin, and finds a linear combination of the predictors to predict group.

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    Neither Aristotelian nor Russellian rules give the exact logic of any expression of ordinary language; for ordinary language has no exact logic.
    Sir Peter Frederick Strawson (b. 1919)