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Discriminant Analysis for the Eigenvalues of Variance Covariance Matrix of FFT Scaling of DNA Sequences: An Empirical Study of Some Organisms
International Journal of Intelligent Information Systems
Volume 8, Issue 1, February 2019, Pages: 26-42
Received: Jan. 19, 2019; Accepted: Mar. 11, 2019; Published: Mar. 27, 2019
Authors
Salah Hamza Abid, Mathematics Department, Education College, Al-Mustansiriya University, Baghdad, Iraq
Jinan Hamza Farhood, Mathematics Department, Education College, Babylon University, Babil, Iraq
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Abstract
Many studies discussed different numerical representations of DNA sequences. One naive approach for exploring the nature of a DNA sequence is to assign numerical values (or scales) to the nucleotides and then proceed with standard time series methods. The analysis will depend actually on the particular assignment of numerical values.Discriminant analysis aims to examine the dependence of one qualitative (classification) variable from several quantitative variables according to number of variations of qualitative variable we can distinction. Actually, there is a discriminant analysis for two or more groups. The essential work of discriminant analysis is to get the optimal assigning rules that will minimize the likelihood of incorrect classification of elements. In this paper, we discussed the discriminant analysis of the first, second, third and fourth eigenvalues of variance covariance matrix of Fast Fourier Transform (FFT) for numerical values representation of DNA sequences of five organisms, Human, E. coli, Rat, Wheat and Grasshopper. The analysis is based on three methods (All Variables, Forward Selection and Backward Selection) of discrimination. Functions have been reached whereby discrimination is made among organisms under consideration. Empirical studies are conducted to show the value of our point of view and the applications based on. Therefore, we recommended that, other empirical studies should be done for other organisms and statistical methods by using the point of view adopted here. Also, aspects stated here must be used in an applied manner for DNA sequences discrimination.
Keywords
FFT Scaling, DNA, Classification, Discriminant Analysis (DA), All Variables, Forward Selection, Backward Selection, Wilks-Lambda, Eigenvalue
Salah Hamza Abid, Jinan Hamza Farhood, Discriminant Analysis for the Eigenvalues of Variance Covariance Matrix of FFT Scaling of DNA Sequences: An Empirical Study of Some Organisms, International Journal of Intelligent Information Systems. Vol. 8, No. 1, 2019, pp. 26-42. doi: 10.11648/j.ijiis.20190801.15
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