tailieunhanh - Engineering Statistics Handbook Episode 9 Part 1

Tham khảo tài liệu 'engineering statistics handbook episode 9 part 1', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | . Constructing Multivariate Charts ENGINEERING STATISTICS HANDBOOK hW tools raids ISEAtCH BACK Nixf 6. Process or Product Monitoring and Control . Tutorials . Elements of Multivariate Analysis . Hotelling s T squared . Constructing Multivariate Charts Multivariate control charts not commonly available in statistical software Although control charts were originally constructed and maintained by hand it would be extremely impractical to try to do that with the chart procedures that were presented in Sections . Unfortunately the well-known statistical software packages do not have capability for the four procedures just outlined. However Dataplot which is used for case studies and tutorials throughout this e-Handbook does have that capability. NIST SEMATECH HOME TOOLS it AIDS SEAftCH BACK NEXT http div898 handbook pmc section5 5 1 2006 10 35 43 AM . Principal Components Linear flinclion is component of z This linear function is referred to as a component of z. To illustrate the computation of a single element for thejth y vector consider the product y z v where v is a column vector of V and V is ap x p coefficient matrix that carries the p-element variable z into the derived n-element variable y. V is known as the eigen vector matrix. The dimension of z is 1 x p the dimension of v is p x 1. The scalar algebra for the component score for the ith individual of yj j 1 .p is yji v izii v 2z2i v pzpi This becomes in matrix notation for all of the y Y ZV Mean and dispersion matrix of y The mean ofy is my V mz 0 because mz 0. The dispersion matrix of y is Dy VDzV V RV R is correlation matrix Now it can be shown that the dispersion matrix Dz of a standardized variable is a correlation matrix. Thus R is the correlation matrix for z. Number of parameters to estimate increases rapidly as p increases At this juncture you may be tempted to say so what . To answer this let us look at the .