Thanks Berend.
Yes that is right. I should get 5 values(results) of x_e because I have five values of X. I wonder how can I fix it?
On 30/08/2013 13:13, Berend Hasselman wrote:
On 30-08-2013, at 09:44, Jonsson<amen.alya...@bordeaux.inra.fr>  wrote:

I have three datasets that I want to compute the errors between them using
linear regression.for this, I want to iterate to reach certain criteria for
the calibration. if changes become smaller than eps the iteration is
successful, hence stop and write parameters into cal:eps=0.00001 if number
of iterations is>  itermax the iteration failed, hence stop and fill cal
with missing value itermax=400

So I tried this code:

                  x= c(5,2,4,2,1)
                  y= c(5,3,4,6,9)
                  z= c(5,8,4,7,3)
              itermax=400
get initial calibration parameters, here we assume that:x is the reference
dataset offset x_a=0, slope x_b=1 the other two datasets y, z are
"calibrated" to x using a simple linear regression

             res=lm(x~y)
               y_a=coef(res)[1] ; y_b=coef(res)[2]
              res1=lm(x~z)
              z_a=coef(res1)[1] ; z_b=coef(res1)[2]
              y_t = y/y_b - y_a/y_b  # "calibrate" y
              z_t = z/z_b - z_a/z_b  #"calibrate" z
              x_e = sqrt(mean((x-y_t)*(x-z_t)))#calculate error of x
               iter<- 0
           while(((x_e-x)>  0.00001)&&  (iter<  itermax)) {
              iter<- 0  ##start iteration
                   x = x_e
                   res=lm(x~y)
                   y_a=coef(res)[1] ; y_b=coef(res)[2]
                   res1=lm(x~z)
                   z_a=coef(res1)[1] ; z_b=coef(res1)[2]
                   y_t = y/y_b - y_a/y_b  # "calibrate" y
                   z_t = z/z_b - z_a/z_b  #"calibrate" z
                   x_e = sqrt(mean((x-y_t)*(x-z_t)))
                    iter<- iter + 1 # increase iteration counter
                    }
But I got the same result for X_e before and after the loop:

x_e
                         [1] 6.454089

I tried your code and got this error message:

Error in model.frame.default(formula = x ~ y, drop.unused.levels = TRUE) :
   variable lengths differ (found for 'y')
Calls: lm ->  eval ->  eval ->  <Anonymous>  ->  model.frame.default

And looking at your code:  x is a vector, x_e is a scalar and in the while loop 
you are assigning x_e to x so x is then a scalar.

Berend



--
Amen Alyaari, UPMC
PhD student
Unit of Functional Ecology&  Environmental Physics [EPHYSE]
National Institute of Agricultural Research [INRA].
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33140 Villenave d'Ornon
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