Indicate whether each of the following changes to a set of data will affect the Euclidean distances between points, and a clustering algorithm such as hclust. If there is any effect, indicate under what circumstances it will be largest. (a). Rescale the variables, multiplying each one by a different constant. (b). Multiply each variable by the same constant. (c). Rotating the data by multiplying it by an orthonormal matrix (hint: PCA loadings are one orthogonal matrix. If you want, you can use PCA to answer this question.) (d). Projecting the data onto the first 5 principal components. Note: You should answer this question using mathematical arguments
Indicate whether each of the following changes to a set of data will affect the Euclidean distances between points, and a clustering algorithm such as hclust. If there is any effect, indicate under what circumstances it will be largest. (a). Rescale the variables, multiplying each one by a different constant. (b). Multiply each variable by the same constant. (c). Rotating the data by multiplying it by an orthonormal matrix (hint: PCA loadings are one orthogonal matrix. If you want, you can use PCA to answer this question.) (d). Projecting the data onto the first 5 principal components. Note: You should answer this question using mathematical arguments
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Indicate whether each of the following changes to a set of data will affect the Euclidean distances between points, and a clustering algorithm such as hclust. If there is any effect, indicate under what circumstances it will be largest.
(a). Rescale the variables, multiplying each one by a different constant.
(b). Multiply each variable by the same constant.
(c). Rotating the data by multiplying it by an orthonormal matrix (hint: PCA loadings are one orthogonal matrix. If you want, you can use PCA to answer this question.)
(d). Projecting the data onto the first 5 principal components.
Note: You should answer this question using mathematical arguments
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