1 / 9

Aside: projections onto vectors

Aside: projections onto vectors. If X  is an np data matrix and a a p1 vector then Y= X a is the projection of X  onto a Values of Y give the coordinates of each observation along the vector a Example: x 1 =(1, 2), x 2 =(2, 1), x 3 =(1,1) a=(3,  4)/5, So.

owen
Download Presentation

Aside: projections onto vectors

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Aside: projections onto vectors • If X is an np data matrix and a a p1 vector then Y= Xais the projection of X onto a • Values of Y give the coordinates of each observation along the vector a • Example: x1=(1, 2), x2=(2, 1), x3=(1,1) a=(3, 4)/5, • So Multivariate Data Analysis

  2. Aside: projections onto vectors x1 2  x3 x2   (0,0)  1 Multivariate Data Analysis

  3. Aside: projections onto vectors x1 2  x3 x2   (0,0)  1 a=(3,  4)/5 Multivariate Data Analysis

  4. Aside: projections onto vectors x1 2  x3 x2   y1 (0,0)  1 a=(3,  4)/5 Multivariate Data Analysis

  5. Aside: projections onto vectors x1=(1, 2) 2  x3 x2   y1 = (3142)/5 = 1 (0,0)  1 a=(3,  4)/5 Multivariate Data Analysis

  6. Aside: projections onto vectors x1 2  x3 x2   y1 = 1 (0,0)  1 y2 = 2/5 a=(3,  4)/5 Multivariate Data Analysis

  7. Aside: projections onto vectors x1 2  y3 = 7/5 x3 x2   y1 = 1 (0,0)  1 y2 = 2/5 a=(3,  4)/5 Multivariate Data Analysis

  8. Aside: projections onto vectors 2 y3 = 7/5   y1 = 1 (0,0)   1 y2 = 2/5 a=(3,  4)/5 Multivariate Data Analysis

  9. Aside: projections onto vectors 2      (0,0)   1 a=(3,  4)/5 Multivariate Data Analysis

More Related