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Belinda Hum Bei Lin

2018-Oct-08 09:14 UTC

[R] Error in nlsModel

Hello,

It is my first time using R studio and I am facing the error of
"Error in nlsModel(formula, mf, start, wts) :
  singular gradient matrix at initial parameter estimates"
when I try to run my script. From what I read online, I understand that the
error might be due to the parameters. However, I do not know how to choose
the right set of parameters. Is there anyone who could advice me on how to
do this?

Below are my script details:
rm(list=ls()) #remove ALL objects
cat("\014") # clear console window prior to new run
Sys.setenv(LANG = "en") #Let's keep stuff in English
Sys.setlocale("LC_ALL","English")

##########
#import necessary packages
#########

##To install the packages use the function install.packages. Installing is
done once.
#install.packages("ggplot2")
#install.packages("minpack.lm")
#install.packages("nlstools")

##Activate the packages. This needs to be done everytime before running the
script.
require(ggplot2)
require(minpack.lm)
require(nlstools)



#########
#define the Weibull function
#########
Weibull<-function(tet1, tet2,x){
  1-exp(-exp(tet1+tet2*log10(x)))
}

#########
##define the inverse of the Weibull function. put in effect and get
concentration as output
#########
iWeibull<-function(tet1,tet2,x){
  10^((log(-log(1-x))-tet1)/tet2)
}


#########
#define the Logit function
#########
Logit<-function(tet1, tet2,x){
  1/(1+exp(-tet1-tet2*log10(x)))
}

#########
##define the inverse of the Logit function
#########
iLogit<-function(tet1,tet2,x){
  10^(-(log(1/x-1)+tet1)/tet2)
}

#########
#define the Probit function
#########
Probit<-function(tet1, tet2, x){
  pnorm(tet1+tet2*(log10(x)))
}

#########
##define the inverse of the Probit function
#########
iProbit<-function(tet1,tet2,x){
  10^((qnorm(x)-tet1)/tet2)
}

#########
# Establish data to fit
# data given here are the data for Diuron from the example datasets
#
# Of course one could also import an external datafile via e.g.
# read.table, read.csv functions

### example to choose a file for import with the read.csv function, where
"," is seperating the columns,
# header=TURE tells R that the first row contains the titles of the
columns, and
# stringsAsFactors = FALSE specify that the characters should not be
converted to factors. For more info run ?read.csv
effectdata<-read.csv(file.choose(),sep=",",stringsAsFactors =
FALSE,header
= TRUE)
?read.csv
###

#########
conc<-c(0,
        0,
        0,
        0,
        0,
        0,
        0.000135696,
        0.000135696,
        0.000135696,
        0.000152971,
        0.000152971,
        0.000152971,
        0.000172445,
        0.000172445,
        0.000172445,
        0.000194398,
        0.000194398,
        0.000194398,
        0.000219146,
        0.000219146,
        0.000219146,
        0.000247044,
        0.000247044,
        0.000247044
)

effect<-c(5.342014355,
          13.46249176,
          -9.249022885,
          -6.666486351,
          1.00292152,
          -3.891918402,
          12.63136345,
          -2.372582186,
          8.601073479,
          1.309926638,
          0.772728968,
          -7.01067202,
          30.65306236,
          28.10819667,
          17.94875421,
          73.00440617,
          71.33593917,
          62.23994217,
          99.18897648,
          99.05982514,
          99.2325145,
          100.2402872,
          100.1276669,
          100.1501468
)

#build input dataframe
effectdata<-data.frame(conc,effect)

#plot the data just to get a first glance of the data
ggplot()+
  geom_point(data=effectdata,aes(x=conc,y=effect), size = 5)+
  scale_x_log10("conc")


#delete controls
effectdata_without_controls<-subset(effectdata,effectdata$conc>0)


#save controls in a seperate dataframe called effectdata_control, which
will be added to the ggplot in the end.
#since you can't have 0 on a logscale we will give the controls a very very
low concentration 0.00001 (not 100% correct, but will not be seen in the
final plot)
effectdata_controls<-subset(effectdata,effectdata$conc==0)
effectdata_controls$conc<-effectdata_controls$conc+0.0001



########
#fit data (without controls) using ordinary least squares
#ordinary least squares is a method for estimating unknown parameters in
statistics. The aim of the method is to minimize
#the difference between the observed responses and the responses predicted
by the approximation of the data.
#nlsLM is from the minpack.lm package
#nls=non-linear lest squares
########
nlsLM_result_Weibull<-nlsLM(effect~Weibull(tet1,tet2,conc),
data=effectdata_without_controls, start=list(tet1=1,tet2=1))
nlsLM_result_Logit<-nlsLM(effect~Logit(tet1,tet2,conc),
data=effectdata_without_controls, start=list(tet1=1,tet2=1))
nlsLM_result_Probit<-nlsLM(effect~Probit(tet1,tet2,conc),
data=effectdata_without_controls, start=list(tet1=1,tet2=1))

Thanks a bunch!

Best Regards,
Belinda
Belinda *Hum* Bei Lin (Ms)
National University of Singapore
(e): belindahbl at gmail.com
(c): +6581136079
<+65%208113%206079>

	[[alternative HTML version deleted]]

PIKAL Petr

2018-Oct-08 14:46 UTC

head link

[R] Error in nlsModel

Hi

I do not want to dig too deep into your code so only 2 comments.

1.Try to plot your defined functions with starting parameters and with defined
concentration

something like

plot(conc, Weibull(1,1, conc))

2.Try to use conc with different units, something like

conc1 <- conc*1000

Cheers
Petr
> -----Original Message-----
> From: R-help <r-help-bounces at r-project.org> On Behalf Of Belinda
Hum Bei Lin
> Sent: Monday, October 8, 2018 11:15 AM
> To: r-help at r-project.org
> Subject: [R] Error in nlsModel
>
> Hello,
>
> It is my first time using R studio and I am facing the error of
> "Error in nlsModel(formula, mf, start, wts) :
>   singular gradient matrix at initial parameter estimates"
> when I try to run my script. From what I read online, I understand that the
> error might be due to the parameters. However, I do not know how to choose
> the right set of parameters. Is there anyone who could advice me on how to
> do this?
>
> Below are my script details:
> rm(list=ls()) #remove ALL objects
> cat("\014") # clear console window prior to new run
> Sys.setenv(LANG = "en") #Let's keep stuff in English
> Sys.setlocale("LC_ALL","English")
>
> ##########
> #import necessary packages
> #########
>
> ##To install the packages use the function install.packages. Installing is
> done once.
> #install.packages("ggplot2")
> #install.packages("minpack.lm")
> #install.packages("nlstools")
>
> ##Activate the packages. This needs to be done everytime before running the
> script.
> require(ggplot2)
> require(minpack.lm)
> require(nlstools)
>
>
>
> #########
> #define the Weibull function
> #########
> Weibull<-function(tet1, tet2,x){
>   1-exp(-exp(tet1+tet2*log10(x)))
> }
>
> #########
> ##define the inverse of the Weibull function. put in effect and get
> concentration as output
> #########
> iWeibull<-function(tet1,tet2,x){
>   10^((log(-log(1-x))-tet1)/tet2)
> }
>
>
> #########
> #define the Logit function
> #########
> Logit<-function(tet1, tet2,x){
>   1/(1+exp(-tet1-tet2*log10(x)))
> }
>
> #########
> ##define the inverse of the Logit function
> #########
> iLogit<-function(tet1,tet2,x){
>   10^(-(log(1/x-1)+tet1)/tet2)
> }
>
> #########
> #define the Probit function
> #########
> Probit<-function(tet1, tet2, x){
>   pnorm(tet1+tet2*(log10(x)))
> }
>
> #########
> ##define the inverse of the Probit function
> #########
> iProbit<-function(tet1,tet2,x){
>   10^((qnorm(x)-tet1)/tet2)
> }
>
> #########
> # Establish data to fit
> # data given here are the data for Diuron from the example datasets
> #
> # Of course one could also import an external datafile via e.g.
> # read.table, read.csv functions
>
> ### example to choose a file for import with the read.csv function, where
> "," is seperating the columns,
> # header=TURE tells R that the first row contains the titles of the
> columns, and
> # stringsAsFactors = FALSE specify that the characters should not be
> converted to factors. For more info run ?read.csv
> effectdata<-read.csv(file.choose(),sep=",",stringsAsFactors =
FALSE,header
> = TRUE)
> ?read.csv
> ###
>
> #########
> conc<-c(0,
>         0,
>         0,
>         0,
>         0,
>         0,
>         0.000135696,
>         0.000135696,
>         0.000135696,
>         0.000152971,
>         0.000152971,
>         0.000152971,
>         0.000172445,
>         0.000172445,
>         0.000172445,
>         0.000194398,
>         0.000194398,
>         0.000194398,
>         0.000219146,
>         0.000219146,
>         0.000219146,
>         0.000247044,
>         0.000247044,
>         0.000247044
> )
>
> effect<-c(5.342014355,
>           13.46249176,
>           -9.249022885,
>           -6.666486351,
>           1.00292152,
>           -3.891918402,
>           12.63136345,
>           -2.372582186,
>           8.601073479,
>           1.309926638,
>           0.772728968,
>           -7.01067202,
>           30.65306236,
>           28.10819667,
>           17.94875421,
>           73.00440617,
>           71.33593917,
>           62.23994217,
>           99.18897648,
>           99.05982514,
>           99.2325145,
>           100.2402872,
>           100.1276669,
>           100.1501468
> )
>
> #build input dataframe
> effectdata<-data.frame(conc,effect)
>
> #plot the data just to get a first glance of the data
> ggplot()+
>   geom_point(data=effectdata,aes(x=conc,y=effect), size = 5)+
>   scale_x_log10("conc")
>
>
> #delete controls
> effectdata_without_controls<-subset(effectdata,effectdata$conc>0)
>
>
> #save controls in a seperate dataframe called effectdata_control, which
> will be added to the ggplot in the end.
> #since you can't have 0 on a logscale we will give the controls a very
very
> low concentration 0.00001 (not 100% correct, but will not be seen in the
> final plot)
> effectdata_controls<-subset(effectdata,effectdata$conc==0)
> effectdata_controls$conc<-effectdata_controls$conc+0.0001
>
>
>
> ########
> #fit data (without controls) using ordinary least squares
> #ordinary least squares is a method for estimating unknown parameters in
> statistics. The aim of the method is to minimize
> #the difference between the observed responses and the responses predicted
> by the approximation of the data.
> #nlsLM is from the minpack.lm package
> #nls=non-linear lest squares
> ########
> nlsLM_result_Weibull<-nlsLM(effect~Weibull(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
> nlsLM_result_Logit<-nlsLM(effect~Logit(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
> nlsLM_result_Probit<-nlsLM(effect~Probit(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
>
> Thanks a bunch!
>
> Best Regards,
> Belinda
> Belinda *Hum* Bei Lin (Ms)
> National University of Singapore
> (e): belindahbl at gmail.com
> (c): +6581136079
> <+65%208113%206079>
>
> [[alternative HTML version deleted]]
>
> ______________________________________________
> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.Osobn? ?daje: Informace o zpracov?n? a ochran? osobn?ch ?daj? obchodn?ch
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ProfJCNash

2018-Oct-08 21:31 UTC

head link

[R] Error in nlsModel

I'm not the author of nlsModel, so would prefer not to tinker with it.

But "singular gradient" is a VERY common problem with nls() that is
used
by nlsModel as I understand it. The issue is actually a singular
Jacobian matrix resulting from a rather weak approximation of the
derivatives (a simple forward approximation as far as I can determine,
and using a fairly large step (1e-7), though a choice I'd probably make
too for this approach.

Duncan Murdoch and I wrote nlsr to do analytic derivatives where
possible. If you can use that (i.e., extract the modeling part of
nlsModel and call nlxb() from nlsr directly), I suspect you will have
better luck. If you still get singularity, it likely means that you
really have parameters that are some combination of each other.

JN

On 2018-10-08 05:14 AM, Belinda Hum Bei Lin wrote:> Hello,
> 
> It is my first time using R studio and I am facing the error of
> "Error in nlsModel(formula, mf, start, wts) :
>   singular gradient matrix at initial parameter estimates"
> when I try to run my script. From what I read online, I understand that the
> error might be due to the parameters. However, I do not know how to choose
> the right set of parameters. Is there anyone who could advice me on how to
> do this?
> 
> Below are my script details:
> rm(list=ls()) #remove ALL objects
> cat("\014") # clear console window prior to new run
> Sys.setenv(LANG = "en") #Let's keep stuff in English
> Sys.setlocale("LC_ALL","English")
> 
> ##########
> #import necessary packages
> #########
> 
> ##To install the packages use the function install.packages. Installing is
> done once.
> #install.packages("ggplot2")
> #install.packages("minpack.lm")
> #install.packages("nlstools")
> 
> ##Activate the packages. This needs to be done everytime before running the
> script.
> require(ggplot2)
> require(minpack.lm)
> require(nlstools)
> 
> 
> 
> #########
> #define the Weibull function
> #########
> Weibull<-function(tet1, tet2,x){
>   1-exp(-exp(tet1+tet2*log10(x)))
> }
> 
> #########
> ##define the inverse of the Weibull function. put in effect and get
> concentration as output
> #########
> iWeibull<-function(tet1,tet2,x){
>   10^((log(-log(1-x))-tet1)/tet2)
> }
> 
> 
> #########
> #define the Logit function
> #########
> Logit<-function(tet1, tet2,x){
>   1/(1+exp(-tet1-tet2*log10(x)))
> }
> 
> #########
> ##define the inverse of the Logit function
> #########
> iLogit<-function(tet1,tet2,x){
>   10^(-(log(1/x-1)+tet1)/tet2)
> }
> 
> #########
> #define the Probit function
> #########
> Probit<-function(tet1, tet2, x){
>   pnorm(tet1+tet2*(log10(x)))
> }
> 
> #########
> ##define the inverse of the Probit function
> #########
> iProbit<-function(tet1,tet2,x){
>   10^((qnorm(x)-tet1)/tet2)
> }
> 
> #########
> # Establish data to fit
> # data given here are the data for Diuron from the example datasets
> #
> # Of course one could also import an external datafile via e.g.
> # read.table, read.csv functions
> 
> ### example to choose a file for import with the read.csv function, where
> "," is seperating the columns,
> # header=TURE tells R that the first row contains the titles of the
> columns, and
> # stringsAsFactors = FALSE specify that the characters should not be
> converted to factors. For more info run ?read.csv
> effectdata<-read.csv(file.choose(),sep=",",stringsAsFactors =
FALSE,header
> = TRUE)
> ?read.csv
> ###
> 
> #########
> conc<-c(0,
>         0,
>         0,
>         0,
>         0,
>         0,
>         0.000135696,
>         0.000135696,
>         0.000135696,
>         0.000152971,
>         0.000152971,
>         0.000152971,
>         0.000172445,
>         0.000172445,
>         0.000172445,
>         0.000194398,
>         0.000194398,
>         0.000194398,
>         0.000219146,
>         0.000219146,
>         0.000219146,
>         0.000247044,
>         0.000247044,
>         0.000247044
> )
> 
> effect<-c(5.342014355,
>           13.46249176,
>           -9.249022885,
>           -6.666486351,
>           1.00292152,
>           -3.891918402,
>           12.63136345,
>           -2.372582186,
>           8.601073479,
>           1.309926638,
>           0.772728968,
>           -7.01067202,
>           30.65306236,
>           28.10819667,
>           17.94875421,
>           73.00440617,
>           71.33593917,
>           62.23994217,
>           99.18897648,
>           99.05982514,
>           99.2325145,
>           100.2402872,
>           100.1276669,
>           100.1501468
> )
> 
> #build input dataframe
> effectdata<-data.frame(conc,effect)
> 
> #plot the data just to get a first glance of the data
> ggplot()+
>   geom_point(data=effectdata,aes(x=conc,y=effect), size = 5)+
>   scale_x_log10("conc")
> 
> 
> #delete controls
> effectdata_without_controls<-subset(effectdata,effectdata$conc>0)
> 
> 
> #save controls in a seperate dataframe called effectdata_control, which
> will be added to the ggplot in the end.
> #since you can't have 0 on a logscale we will give the controls a very
very
> low concentration 0.00001 (not 100% correct, but will not be seen in the
> final plot)
> effectdata_controls<-subset(effectdata,effectdata$conc==0)
> effectdata_controls$conc<-effectdata_controls$conc+0.0001
> 
> 
> 
> ########
> #fit data (without controls) using ordinary least squares
> #ordinary least squares is a method for estimating unknown parameters in
> statistics. The aim of the method is to minimize
> #the difference between the observed responses and the responses predicted
> by the approximation of the data.
> #nlsLM is from the minpack.lm package
> #nls=non-linear lest squares
> ########
> nlsLM_result_Weibull<-nlsLM(effect~Weibull(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
> nlsLM_result_Logit<-nlsLM(effect~Logit(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
> nlsLM_result_Probit<-nlsLM(effect~Probit(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
> 
> Thanks a bunch!
> 
> Best Regards,
> Belinda
> Belinda *Hum* Bei Lin (Ms)
> National University of Singapore
> (e): belindahbl at gmail.com
> (c): +6581136079
> <+65%208113%206079>
> 
> 	[[alternative HTML version deleted]]
> 
> ______________________________________________
> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
>

William Dunlap

2018-Oct-08 22:21 UTC

head link

[R] Error in nlsModel

Weibull<-function(tet1, tet2,x){
    1-exp(-exp(tet1+tet2*log10(x)))
  }
  range(effectdata_without_controls$conc)
  # 0.000135696 0.000247044
  range(effectdata_without_controls$effect)
  # [1]  -7.010672 100.240287
  nls(effect ~ Weibull(tet1, tet2, conc))

Your Weibull function has a range of [0,1) but you are using it to model
an effect with range c. -7 to 100.  Is this an appropriate model?




Bill Dunlap
TIBCO Software
wdunlap tibco.com

On Mon, Oct 8, 2018 at 2:14 AM, Belinda Hum Bei Lin <belindahbl at
gmail.com>
wrote:
> Hello,
>
> It is my first time using R studio and I am facing the error of
> "Error in nlsModel(formula, mf, start, wts) :
>   singular gradient matrix at initial parameter estimates"
> when I try to run my script. From what I read online, I understand that the
> error might be due to the parameters. However, I do not know how to choose
> the right set of parameters. Is there anyone who could advice me on how to
> do this?
>
> Below are my script details:
> rm(list=ls()) #remove ALL objects
> cat("\014") # clear console window prior to new run
> Sys.setenv(LANG = "en") #Let's keep stuff in English
> Sys.setlocale("LC_ALL","English")
>
> ##########
> #import necessary packages
> #########
>
> ##To install the packages use the function install.packages. Installing is
> done once.
> #install.packages("ggplot2")
> #install.packages("minpack.lm")
> #install.packages("nlstools")
>
> ##Activate the packages. This needs to be done everytime before running the
> script.
> require(ggplot2)
> require(minpack.lm)
> require(nlstools)
>
>
>
> #########
> #define the Weibull function
> #########
> Weibull<-function(tet1, tet2,x){
>   1-exp(-exp(tet1+tet2*log10(x)))
> }
>
> #########
> ##define the inverse of the Weibull function. put in effect and get
> concentration as output
> #########
> iWeibull<-function(tet1,tet2,x){
>   10^((log(-log(1-x))-tet1)/tet2)
> }
>
>
> #########
> #define the Logit function
> #########
> Logit<-function(tet1, tet2,x){
>   1/(1+exp(-tet1-tet2*log10(x)))
> }
>
> #########
> ##define the inverse of the Logit function
> #########
> iLogit<-function(tet1,tet2,x){
>   10^(-(log(1/x-1)+tet1)/tet2)
> }
>
> #########
> #define the Probit function
> #########
> Probit<-function(tet1, tet2, x){
>   pnorm(tet1+tet2*(log10(x)))
> }
>
> #########
> ##define the inverse of the Probit function
> #########
> iProbit<-function(tet1,tet2,x){
>   10^((qnorm(x)-tet1)/tet2)
> }
>
> #########
> # Establish data to fit
> # data given here are the data for Diuron from the example datasets
> #
> # Of course one could also import an external datafile via e.g.
> # read.table, read.csv functions
>
> ### example to choose a file for import with the read.csv function, where
> "," is seperating the columns,
> # header=TURE tells R that the first row contains the titles of the
> columns, and
> # stringsAsFactors = FALSE specify that the characters should not be
> converted to factors. For more info run ?read.csv
> effectdata<-read.csv(file.choose(),sep=",",stringsAsFactors =
FALSE,header
> = TRUE)
> ?read.csv
> ###
>
> #########
> conc<-c(0,
>         0,
>         0,
>         0,
>         0,
>         0,
>         0.000135696,
>         0.000135696,
>         0.000135696,
>         0.000152971,
>         0.000152971,
>         0.000152971,
>         0.000172445,
>         0.000172445,
>         0.000172445,
>         0.000194398,
>         0.000194398,
>         0.000194398,
>         0.000219146,
>         0.000219146,
>         0.000219146,
>         0.000247044,
>         0.000247044,
>         0.000247044
> )
>
> effect<-c(5.342014355,
>           13.46249176,
>           -9.249022885,
>           -6.666486351,
>           1.00292152,
>           -3.891918402,
>           12.63136345,
>           -2.372582186,
>           8.601073479,
>           1.309926638,
>           0.772728968,
>           -7.01067202,
>           30.65306236,
>           28.10819667,
>           17.94875421,
>           73.00440617,
>           71.33593917,
>           62.23994217,
>           99.18897648,
>           99.05982514,
>           99.2325145,
>           100.2402872,
>           100.1276669,
>           100.1501468
> )
>
> #build input dataframe
> effectdata<-data.frame(conc,effect)
>
> #plot the data just to get a first glance of the data
> ggplot()+
>   geom_point(data=effectdata,aes(x=conc,y=effect), size = 5)+
>   scale_x_log10("conc")
>
>
> #delete controls
> effectdata_without_controls<-subset(effectdata,effectdata$conc>0)
>
>
> #save controls in a seperate dataframe called effectdata_control, which
> will be added to the ggplot in the end.
> #since you can't have 0 on a logscale we will give the controls a very
very
> low concentration 0.00001 (not 100% correct, but will not be seen in the
> final plot)
> effectdata_controls<-subset(effectdata,effectdata$conc==0)
> effectdata_controls$conc<-effectdata_controls$conc+0.0001
>
>
>
> ########
> #fit data (without controls) using ordinary least squares
> #ordinary least squares is a method for estimating unknown parameters in
> statistics. The aim of the method is to minimize
> #the difference between the observed responses and the responses predicted
> by the approximation of the data.
> #nlsLM is from the minpack.lm package
> #nls=non-linear lest squares
> ########
> nlsLM_result_Weibull<-nlsLM(effect~Weibull(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
> nlsLM_result_Logit<-nlsLM(effect~Logit(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
> nlsLM_result_Probit<-nlsLM(effect~Probit(tet1,tet2,conc),
> data=effectdata_without_controls, start=list(tet1=1,tet2=1))
>
> Thanks a bunch!
>
> Best Regards,
> Belinda
> Belinda *Hum* Bei Lin (Ms)
> National University of Singapore
> (e): belindahbl at gmail.com
> (c): +6581136079
> <+65%208113%206079>
>
>         [[alternative HTML version deleted]]
>
> ______________________________________________
> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/
> posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
>
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R help - Oct 2018 - Error in nlsModel

[R] Error in nlsModel

[R] Error in nlsModel

[R] Error in nlsModel

[R] Error in nlsModel