Hello, This is Jeffrey

Thank you for click this question!

I think I didn't write my first question well, so I update some information sorry !

*Purpose

I'm trying to analyse RGB data to find the true colour detection model.

* I have those kinds of data below. (R,G,B value for the colour checker)

1. reference_colour = [[211,24,175],[72,88,15],[44,64,207],~~~~~[a,a,a]]

2. extracted_colour = [[191,12,212],[119,48,128],[121,46,221]~~~~[b,b,b]]

3. extracted_colour_Lab =[[8.2, -2.45, 21.5], [-30.21, 9.98, 12.22] ~~~~[c,c,c]]

Lab= L(lightning)*a(colour)*b(colour) data from image

By using this matrix data, I need to do analyse for the colour calibration.

Some researchers already did a 3D-thin-plate-spline analysis, PLS regression, etc.

but I'd like to try multivariate regression or random forest regression.

until I've just practiced doing modeling by using a single response variable, using matrix data is very struggling. so my question is

Are there any good reference to be used 3 response variables with matrix(1,3)

or a good way to apply MANOVA or any other good statistic regression model to apply matrix data?

Thank you for reading. Thank you

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