How to calculate the full least squares in R? (Orthogonal regression)

Question

I did not find a function to calculate orthogonal regression (TLS - Total Least Squares).

Is there a package with this feature?

Update: I mean, calculate the distance of each point symmetrically and asymmetrically, like lm().

Answer 1

You might want to consider a function Deming()in the MethComp package [ function information ]. The package also contains a detailed derivation of the theory behind Deming's regression.

The following R-archive search also provides many options:

• Least squares total
• Regression Deming

CrossValidated, R-Help , , , , " " " " .

Answer 2

:

• gx.rma rgr .
• . , PCA, princomp. .

Answer 3

URL:

https://www.inkling.com/read/r-cookbook-paul-teetor-1st/chapter-13/recipe-13-5

   r <- prcomp( ~ x + y )
   slope <- r$rotation[2,1] / r$rotation[1,1]
   intercept <- r$center[2] - slope*r$center[1]

PCA, x y, . .

Answer 4

, , "onls", .

Answer 5

, , "onls". nls ( )