Jurusan Ilmu Kelautan Fakultas Perikanan dan Ilmu Kelautan Universitas Diponegoro, Indonesia
BibTex Citation Data :
@article{IK.IJMS19314, author = {Dwi Ismunarti}, title = {Sudut Minimum antar Sub Ruang Vektor : Aplikasi pada Dinamika Biologis Perairan Jawa Selatan Sumbawa}, journal = {ILMU KELAUTAN: Indonesian Journal of Marine Sciences}, volume = {7}, number = {1}, year = {2008}, keywords = {}, abstract = { Abstrak Sudut minimum antar sub ruang vektor (RV) adalah analisis data deskriptif untuk membandingkan beberapa gugus individu yang diukur pada peubah yang sama. Matriks L dan M dengan unsur kolom masing-masing adalah l, dan m yaitu loading deri komponen utama ke i dari gugus A dan B. Sudut q adalah sudut sntar« vektor dari dua sub RV berdimensi k yang dibangkitkan oleh k komponen utama gugus A dengan vektor terdeketnya di sub RV yang dibangkitkan komponen utama gugus B. Dengan demikian maka kemiripan antar gugus data peubah ganda ditunjukkan oleh V yaitu jumlah kuadrat cosinus sudut antar loading dari komponen utama A dan B. Kata kuncl : ruang vector (RV), komponen utama(KU), akar ciri dan vektor ciri Abstract The minimum angle between sub spaces is a descriptive tool for the comparison the several different groups of individuals have the same p variables measurement on them. Let L and M as the matrix with elements vector I and m are the loading of the i principal component for group A and B. respectively. Let q is the angle between an arbitrary vector in the k-dimensional sub space generated by k principal component of group A and the one most nearly vector in the sub space generated by k principal component of group B. The sum of squaresof cosines of angles between each of the k eigenvectors defining the principal component of A and each one of B can be used a measurement of similarity between two groups A and B. Keywords : vector space, principal component, eigen value and etgen vector }, issn = {2406-7598}, pages = {1--6} doi = {10.14710/ik.ijms.7.1.1-6}, url = {https://ejournal.undip.ac.id/index.php/ijms/article/view/19314} }
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Abstrak
Sudut minimum antar sub ruang vektor (RV) adalah analisis data deskriptif untuk membandingkan beberapa gugus individu yang diukur pada peubah yang sama. Matriks L dan M dengan unsur kolom masing-masing adalah l, dan m yaitu loading deri komponen utama ke i dari gugus A dan B. Sudut q adalah sudut sntar« vektor dari dua sub RV berdimensi k yang dibangkitkan oleh k komponen utama gugus A dengan vektor terdeketnya di sub RV yang dibangkitkan komponen utama gugus B. Dengan demikian maka kemiripan antar gugus data peubah ganda ditunjukkan oleh V yaitu jumlah kuadrat cosinus sudut antar loading dari komponen utama A dan B.
Kata kuncl: ruang vector (RV), komponen utama(KU), akar ciri dan vektor ciri
Abstract
The minimum angle between sub spaces is a descriptive tool for the comparison the several different groups of individuals have the same p variables measurement on them. Let L and M as the matrix with elements vector I and m are the loading of the i principal component for group A and B. respectively. Let q is the angle between an arbitrary vector in the k-dimensional sub space generated by k principal component of group A and the one most nearly vector in the sub space generated by k principal component of group B. The sum of squaresof cosines of angles between each of the k eigenvectors defining the principal component of A and each one of B can be used a measurement of similarity between two groups A and B.
Keywords: vector space, principal component, eigen value and etgen vector
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