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LINGO Programs Usage and New Facts by Iris Data

In: The First Discriminant Theory of Linearly Separable Data

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  • Shuichi Shinmura

Abstract

This chapter introduces four LINGO Programs and new facts from Fisher’s Iris data. It consists of three species, Setosa (G1), Versicolor (G2), and Virginica (G3), with 4 variables. X3 and X4 are two univariate BGSs. The scatterplots show three LSDs—G1 and G2 (G1&2), G1 and G3 ( G1&3), and G1 and G23 (G1&23). The 2-variable BGS (X1, X2) shows G1&23 is LSD, also. Therefore, it has four LSD, best-suited data explaining four LINGO Programs. Once you understand how to use those, you will have powerful data analysis skills that will give you excellent results on every discriminant data. Theory3 is an interdisciplinary method based on Theory1 and Theory2, 3 kinds of Facts and Methods, which go beyond conventional discriminant theory—not limited to human cancer gene diagnosis. For example, you can perform the same genetic diagnosis as in this book from animals’ gene data. Furthermore, if misclassified cases found in RIP are omitted and used as Test samples, the remaining data become LSD. Therefore, you can obtain clear results for all discriminant data with misclassification, as shown in Chap. 3 . Chapter 6 introduces Program3 (SM decomposition) in detail, which is important for high-dimensional gene data analysis.

Suggested Citation

  • Shuichi Shinmura, 2024. "LINGO Programs Usage and New Facts by Iris Data," Springer Books, in: The First Discriminant Theory of Linearly Separable Data, chapter 0, pages 67-127, Springer.
    • Handle: RePEc:spr:sprchp:978-981-99-9420-5_2
    DOI: 10.1007/978-981-99-9420-5_2
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