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%3CLINGO-SUB%20id%3D%22lingo-sub-415923%22%20slang%3D%22en-US%22%20mode%3D%22NONE%22%3EHotelling%20%E3%81%AE%20T2%20%E8%B2%A2%E7%8C%AE%E3%81%AE%E8%A8%88%E7%AE%97%E5%BC%8F%3C%2FLINGO-SUB%3E%3CLINGO-BODY%20id%3D%22lingo-body-415923%22%20slang%3D%22en-US%22%20mode%3D%22NONE%22%3E%3CP%3E%E8%A8%98%E4%BA%8B%E3%81%A7%E3%81%AF%E3%80%81%E5%BC%8F%20(X-colMean(X))%2Fstd.dev%20%E3%82%92%E4%BD%BF%E7%94%A8%E3%81%97%E3%81%9F%20t2%20%E8%B2%A2%E7%8C%AE%E3%81%AE%E5%A0%B4%E5%90%88%E3%80%82%20%E3%81%97%E3%81%8B%E3%81%97%E3%80%81Model%20Driven%20Multivariate%20Control%20Chart(JMP%2016)%20%E3%81%8B%E3%82%89%E4%BF%9D%E5%AD%98%E3%81%95%E3%82%8C%E3%81%9F%20T2%20%E5%A4%89%E6%95%B0%E5%AF%84%E4%B8%8E%E3%81%AE%E5%88%97%E5%BC%8F%E3%81%A7%E3%81%AF%E3%80%81(X-colMean(X))%2Fstd.dev%20%E3%81%AE%E5%89%8D%E3%81%AB%E4%B9%97%E6%95%B0%E3%81%8C%E8%A1%A8%E7%A4%BA%E3%81%95%E3%82%8C%E3%81%BE%E3%81%99%E3%80%82%20%E4%BE%8B%E3%81%88%E3%81%B0%EF%BC%9A%3C%2FP%3E%3CP%3E%3CSPAN%20class%3D%22lia-inline-image-display-wrapper%20lia-image-align-inline%22%20image-alt%3D%22EGrishin_0-1630996172636.png%22%20style%3D%22width%3A%20749px%3B%22%3E%3CSPAN%20class%3D%22lia-inline-image-display-wrapper%22%20image-alt%3D%22EGrishin_0-1630996172636.png%22%20style%3D%22width%3A%20749px%3B%22%3E%3Cspan%20class%3D%22lia-inline-image-display-wrapper%22%20image-alt%3D%22EGrishin_0-1630996172636.png%22%20style%3D%22width%3A%20749px%3B%22%3E%3Cimg%20src%3D%22https%3A%2F%2Fcommunity.jmp.com%2Ft5%2Fimage%2Fserverpage%2Fimage-id%2F35559iCA482EC8FECEF797%2Fimage-dimensions%2F749x128%3Fv%3Dv2%22%20width%3D%22749%22%20height%3D%22128%22%20role%3D%22button%22%20title%3D%22EGrishin_0-1630996172636.png%22%20alt%3D%22EGrishin_0-1630996172636.png%22%20%2F%3E%3C%2Fspan%3E%3C%2FSPAN%3E%3C%2FSPAN%3E%3C%2FP%3E%3CP%3E%E3%81%93%E3%82%8C%E3%81%AF%E4%BD%95%E3%81%A7%E3%81%99%E3%81%8B%EF%BC%9F%3C%2FP%3E%3CPRE%3E1.98849210478157%20*%20%3A_07MAA10CT111%20%2B%201.68074231499255%20*%20%3A_07MAA10CT109%20%2B%20(-1779.94365628861)%3C%2FPRE%3E%3C%2FLINGO-BODY%3E%3CLINGO-LABS%20id%3D%22lingo-labs-415923%22%20slang%3D%22en-US%22%20mode%3D%22NONE%22%3E%3CLINGO-LABEL%3E%E9%AB%98%E5%BA%A6%E3%81%AA%E7%B5%B1%E8%A8%88%E3%83%A2%E3%83%87%E3%83%AA%E3%83%B3%E3%82%B0%3C%2FLINGO-LABEL%3E%3CLINGO-LABEL%3E%E3%82%B3%E3%83%B3%E3%83%86%E3%83%B3%E3%83%84%E3%81%AE%E6%A7%8B%E6%88%90%3C%2FLINGO-LABEL%3E%3CLINGO-LABEL%3E%E3%83%87%E3%83%BC%E3%82%BF%E3%81%AE%E3%83%96%E3%83%AC%E3%83%B3%E3%83%87%E3%82%A3%E3%83%B3%E3%82%B0%E3%81%A8%E3%82%AF%E3%83%AA%E3%83%BC%E3%83%B3%E3%82%A2%E3%83%83%E3%83%97%3C%2FLINGO-LABEL%3E%3CLINGO-LABEL%3E%E5%93%81%E8%B3%AA%E3%81%8A%E3%82%88%E3%81%B3%E3%83%97%E3%83%AD%E3%82%BB%E3%82%B9%E3%82%A8%E3%83%B3%E3%82%B8%E3%83%8B%E3%82%A2%E3%83%AA%E3%83%B3%E3%82%B0%3C%2FLINGO-LABEL%3E%3CLINGO-LABEL%3E%E7%B5%90%E6%9E%9C%E3%81%AE%E5%85%B1%E6%9C%89%E3%81%A8%E4%BC%9D%E9%81%94%3C%2FLINGO-LABEL%3E%3C%2FLINGO-LABS%3E%3CLINGO-SUB%20id%3D%22lingo-sub-415956%22%20slang%3D%22en-US%22%20mode%3D%22NONE%22%3ERe%3A%20Hotelling%20%E3%81%AE%20T2%20%E8%B2%A2%E7%8C%AE%E5%85%AC%E5%BC%8F%3C%2FLINGO-SUB%3E%3CLINGO-BODY%20id%3D%22lingo-body-415956%22%20slang%3D%22en-US%22%20mode%3D%22NONE%22%3E%3CP%3E%E3%81%82%E3%82%8A%E3%81%8C%E3%81%A8%E3%81%86%EF%BC%81%EF%BC%89%3C%2FP%3E%3C%2FLINGO-BODY%3E%3CLINGO-SUB%20id%3D%22lingo-sub-415947%22%20slang%3D%22en-US%22%20mode%3D%22NONE%22%3ERe%3A%20Hotelling%20%E3%81%AE%20T2%20%E8%B2%A2%E7%8C%AE%E5%85%AC%E5%BC%8F%3C%2FLINGO-SUB%3E%3CLINGO-BODY%20id%3D%22lingo-body-415947%22%20slang%3D%22en-US%22%20mode%3D%22NONE%22%3E%3CP%3E%E7%B5%B1%E8%A8%88%E7%9A%84%E3%81%AA%E8%AA%AC%E6%98%8E%E3%81%A7%E3%81%AF%E3%81%82%E3%82%8A%E3%81%BE%E3%81%9B%E3%82%93...%3C%2FP%3E%3CP%3E%26nbsp%3B%3C%2FP%3E%3CP%3E%E7%A7%81%E3%81%AE%E6%8E%A8%E6%B8%AC%E3%81%A7%E3%81%AF%E3%80%81%E5%A4%89%E6%95%B0%E3%81%AE%201%20%E3%81%A4%E3%81%AB%E5%AF%84%E4%B8%8E%E5%BC%8F%E3%81%8C%E3%81%82%E3%82%8B%E3%81%A8%E6%80%9D%E3%81%84%E3%81%BE%E3%81%99%E3%80%82%20%E3%81%99%E3%81%B9%E3%81%A6%E3%81%AE%E8%B2%A2%E7%8C%AE%E5%BA%A6%E3%81%AE%E8%A8%88%E7%AE%97%E5%BC%8F%E3%82%92%E5%90%88%E8%A8%88%E3%81%99%E3%82%8B%E3%81%A8%E3%80%81T2%20(%E3%81%BE%E3%81%9F%E3%81%AF%E3%81%9D%E3%82%8C%E3%81%AB%E9%9D%9E%E5%B8%B8%E3%81%AB%E8%BF%91%E3%81%84)%20%E3%81%AB%E3%81%AA%E3%82%8B%E3%81%A8%E6%80%9D%E3%81%84%E3%81%BE%E3%81%99%E3%80%82%3C%2FP%3E%3CP%3E%E4%BE%8B%E3%81%A8%E3%81%97%E3%81%A6%20Iris.jmp%20%E3%82%92%E4%BD%BF%E7%94%A8%E3%81%97%E3%81%BE%E3%81%99%E3%80%82%3C%2FP%3E%3CP%3E%3CSPAN%20class%3D%22lia-inline-image-display-wrapper%20lia-image-align-inline%22%20image-alt%3D%22jthi_0-1630999406826.png%22%20style%3D%22width%3A%20400px%3B%22%3E%3CSPAN%20class%3D%22lia-inline-image-display-wrapper%22%20image-alt%3D%22jthi_0-1630999406826.png%22%20style%3D%22width%3A%20400px%3B%22%3E%3Cspan%20class%3D%22lia-inline-image-display-wrapper%22%20image-alt%3D%22jthi_0-1630999406826.png%22%20style%3D%22width%3A%20400px%3B%22%3E%3Cimg%20src%3D%22https%3A%2F%2Fcommunity.jmp.com%2Ft5%2Fimage%2Fserverpage%2Fimage-id%2F35561i5BC2580D81778BF7%2Fimage-size%2Fmedium%3Fv%3Dv2%26amp%3Bpx%3D400%22%20role%3D%22but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EGrishin
Level I

Hotelling's T2 contributions formula

In articles, for t2 contributions using formula (X-colMean(X))/std.dev. But in Column Formula of T2 variable contribution, saved from Model Driven Multivariate Control Chart(JMP 16), we can see multiplier before (X-colMean(X))/std.dev. For Example:

EGrishin_0-1630996172636.png

What is this?

1.98849210478157 * :_07MAA10CT111 + 1.68074231499255 * :_07MAA10CT109 + (-1779.94365628861)
1 ACCEPTED SOLUTION

Accepted Solutions
jthi
Super User

Re: Hotelling's T2 contributions formula

Not a statistical explanation...

 

My guess is that you have a contribution formula for one of the variables you have. I think you sum all of the contribution formulas together you should end up with the T2 (or very close to it).

Using Iris.jmp as example:

jthi_0-1630999406826.png

jthi_1-1630999971980.png

 

 

-Jarmo

View solution in original post

2 REPLIES 2
jthi
Super User

Re: Hotelling's T2 contributions formula

Not a statistical explanation...

 

My guess is that you have a contribution formula for one of the variables you have. I think you sum all of the contribution formulas together you should end up with the T2 (or very close to it).

Using Iris.jmp as example:

jthi_0-1630999406826.png

jthi_1-1630999971980.png

 

 

-Jarmo
EGrishin
Level I

Re: Hotelling's T2 contributions formula

Thanks!)

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