Kevin Wright wrote:

library(nlme)
m2 <- gnls(conc  ~ t1*(1-t2*exp(-k*time)),
           data  = df.Chloride,
           start =  list(
             t1 = 35,
             t2 = 0.91,
             k = 0.22))
So my error was to use nls instead that gnls. Thanks a lot, Kevin.
summary(m2)
plot(m2)
lag.plot(resid(m2), do.lines=FALSE)
acf(resid(m2))

m3 <- update(m2, corr=corAR1(.67))
summary(m3)
plot(m3)
lag.plot(resid(m3), do.lines=FALSE)
acf(resid(m3))

The residual plots for model m3 still show structure, unlike in Bates & Watts, so maybe this is not the correct model?

Kevin
Actually is not even the same model described in the book.

There the model is told to have the following parameters;
t1  37.58
t2    0.849
k     0.178
Phi   0.69,

while the one obtained with R has the following
t1  38.98
t2   0.825
k     0.158
Phi  0.682.

I run this code, but without success. I obtain again the m3 model.

m4 <- gnls(conc  ~ t1*(1-t2*exp(-k*time)),
       data  = df.Chloride,
       start =  list(
         t1 = 37.58,
         t2 = 0.849,
         k = 0.178),
       corr=corAR1(.69))

I cannot understand why

anova(m2,  m3)
Model df       AIC       BIC   logLik   Test  L.Ratio p-value
m2 1 4 -20.09053 -12.13459 14.04526 m3 2 5 -51.08761 -41.14269 30.54380 1 vs 2 32.99708 <.0001 indicate a susbstantial improvement in the model, but the plot of residual is quite the same (slight differences)

plot(m2,  pch  = 20);x11();plot(m3,  pch  = 20)

Any other idea ?

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