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The result of discriminant analysis for the three classes are two discriminant functions LD1 and LD2.

In the case of two classes, there is one discriminant function LD1, and the threshold of discrimination can be calculated as follows:

formula

M1 is the mean value of LD1 estimates for class 1, and M2 for class 2.

Please, help me understand how, with LD1 and LD2, calculated threshold of discrimination for the case of three classes.

In other words, how I can find the equations of these thresholds lines on a graph?

enter image description here

The code for this plot was taken from here R: plotting posterior classification probabilities of a linear discriminant analysis in ggplot2

Vitalii
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  • Given this question isn't about a programming issue but the mathematics behind LDA, this question is a better fit for [Cross Validated](https://stats.stackexchange.com/). – caldwellst Apr 07 '20 at 08:57
  • @caldwellst I understand, but guided by the fact that plotting with that thresholds is a programming topic, I came to the conclusion that maybe someone from the programmers will be able to help me with the code to search for thresholds equations, since mathematicians are not very active in this topic. – Vitalii Apr 07 '20 at 09:13

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