Two-Step Practical Screening Method for Cancer Gene Diagnoses—Multivariate Oncogenes Among 169 Microarrays

Shuichi Shinmura ()

Chapter Chapter 7 in The First Discriminant Theory of Linearly Separable Data, 2024, pp 295-340 from Springer

Abstract: Abstract If physicians analyze their microarrays or RNA by my practical 2-step screening method (Method3), they obtain many “vital BGSs with a few genes and M2 = 0.” They can validate them by five validations and find new characteristics of multivariate oncogenes that are true signals for cancer gene diagnoses (Theory2). 169 MNMs are 0 and LSD by Program1. Program4 finds BGSs. Validation1 (M2 = 0 by Program2) selects vital BGSs as multivariate oncogene candidates. Validation3 (PCA’s scatterplot) selects true signals for Theory2. If physicians examine legacy oncogenes included in vital BGSs (Validation4), they can find new characteristics of true multivariate oncogenes. After these validations, they can validate their BGSs by Validation5 (genome cohort and survival analysis) and get more beneficial results for medical studies. Because I developed RIP finding MNM, Method1 (100– or tenfold CV;), Method2 (SM decomposition), and found Fact1 (Relation between NM and LDF coefficients) and Fact2 (MNM monotonic decreases) in Theory2, I quickly found six microarrays were LSD, both decomposition of SMs and BGS, and Fact3 (Four LSD data structures). Mehod3 and four validations completed Theory2. In 2023, I reviewed five ordinary data by Theory2 and found many surprising findings about BGS’s role. Therefore, I completed the new theory of LSD (Theory3).

Keywords: Vital BGSs with less than five genes and M2 = 0; M2 (10 validations average ER); Method3 (2-step screening method); Five Validations; MNM (Minimum number of misclassifications); LSD (linear separable data); Validation1 (M2 = 0 by Program2); Validation3 (PCA’s scatterplot); Validation4 (Examine legacy oncogenes included in vital BGSs); Theory1 (New Discriminant Theory); Theory2 (Cancer Gene Diagnoses); Fact3 (Four universal Data Structures of LSD); Method3 (Two-step Screening method); Theory3 (First Theory of LSD); BGS’s Role (Powerful Variable Selection Method of LSD) (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/978-981-99-9420-5_7

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