What are the criteria used for evaluating a discrimination funtion? define them.

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What are the criteria used for evaluating adiscrimination funtion? define them.

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Answer criteria used for evaluating a discrimination funtion General Purpose Discriminant function analysis is used to determine which variables discriminate between two or more naturally occurring groups For example an educational researcher may want to investigate which variables discriminate between high school graduates who decide 1 to go to college 2 to attend a trade or professional school or 3 to seek no further training or education For that purpose the researcher could collect data on numerous variables prior to students graduation After graduation most students will naturally fall into one of the three categories Discriminant Analysis could then be used to determine which variables are the best predictors of students subsequent educational choice A medical researcher may record different variables relating to patients backgrounds in order to learn which variables best predict whether a patient is likely to recover completely group 1 partially group 2 or not at all group 3 A biologist could record different characteristics of similar types groups of flowers and then perform a discriminant function analysis to determine the set of characteristics that allows for the best discrimination between the types Computational Approach Computationally discriminant function analysis is very similar to analysis of variance ANOVA Let us consider a simple example Suppose we measure height in a random sample of 50 males and 50 females Females are on the average not as tall as males and this difference will be reflected in the difference in means for the variable Height Therefore variable height allows us to discriminate between males and females with a better than chance probability if a person is tall then he is likely to be a male if a person is short then she is likely to be a female We can generalize this reasoning to groups and variables that are less trivial For example suppose we have two groups of high school graduates Those who choose to attend college after graduation and those who do not We See Answer

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