Re: [R] residual plots for lmer in lme4 package

2007-08-18 Thread Gregor Gorjanc
John Maindonald john.maindonald at anu.edu.au writes:
...
 The issue of checking for normality of effects in multi-level
 models has not been very much researched, as far as I can
 tell.  The function residuals()  gives residuals that adjust for
 all except the highest level of random effects.  Depending
 on the relative magnitudes of the variance components,
 whether or not these residuals are anywhere near normal
 may not be of much or any consequence.ž

For what it is worth I have came across this paper just recently:

http://www3.interscience.wiley.com/cgi-bin/abstract/114280441

Gregor

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[R] residual plots for lmer in lme4 package

2007-08-17 Thread Margaret Gardiner-Garden
Hi, 

I was wondering if I might be able to ask some advice about doing residual
plots for the lmer function in the lme4 package. 

 

(Apologies to anyone who has received this message twice.  I have had
problems with embedded text.)

 

Our group's aim is to find if the expression staining of a particular gene
in a sample (or core)  is related to the pathology of the core.

To do this, we used the lmer function to perform a logistic mixed model
below.  

 

 logit P(yij=1) = beta0 + Ui + beta1Patholij where Ui~N(0, sigmaU2),

i indexes patient, j indexes measurement, Pathol is an indicator variable
(0,1) for benign

epithelium versus cancer and yij is the staining indicator (0,1) for each
core where yij equals 1 if the core stains positive and 0 otherwise. 

 

(I have inserted some example R code at the end of this message)

 

I was wondering if you knew how I could test that the errors Ui are normally
distributed in my fit.  I am not familiar with how to do residual plots for
a mixed logistic regression.

 

Any advice would be greatly appreciated!

 

Thanks and Regards

Marg

 

Example code:

 

lmer(Intensity.over2.hyp.canc~Pathology + (1|Patient.ID), data=
HSD17beta4.hyp.canc, family=binomial, na.action=na.omit)

 

 

   

#Family: binomial(logit link)

 #AIC  BIClogLik deviance

   # 414.1101 431.4147 -203.0550 406.1101

   #Random effects:

   # GroupsNameVarianceStd.Dev. 

   # Patient.ID (Intercept)  4.9558  2.2262 

   # of obs: 559, groups: Patient.ID, 177

 

   #Estimated scale (compare to 1)  0.6782544 

 

   #Fixed effects:

#Estimate Std. Error z value  Pr(|z|)

   #(Intercept)  -2.057340.24881 -8.2686  2.2e-16 ***

   #PathologyHyperplasia -1.766270.44909 -3.9330 8.389e-05 ***

 

NB. Intensity.over2.hyp.canc is the staining of the core (ie 0 or 1)

Pathology is Hyperplasia or Cancer

 

 

Dr Margaret Gardiner-Garden

Garvan Institute of Medical Research

384 Victoria Street

Darlinghurst Sydney

NSW 2010 Australia

 

Phone: 61 2 9295 8348

Fax: 61 2 9295 8321

 

 


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Re: [R] residual plots for lmer in lme4 package

2007-08-17 Thread John Maindonald
I am doubtful whether standard residual plots are very useful
in this context.  One wants the theoretical effects Ui to have a
normal distribution.  If there are similar amounts of information
on each patient, maybe it will not be too bad to extract the
estimated effects and check them for normality. I don't think
you can use residuals() to extract them, as glmer() does
not have the notion of levels.  Maybe they can be extracted
using ranef(), but I do not see any examples for use with
glmer() on the help pages.

The issue of checking for normality of effects in multi-level
models has not been very much researched, as far as I can
tell.  The function residuals()  gives residuals that adjust for
all except the highest level of random effects.  Depending
on the relative magnitudes of the variance components,
whether or not these residuals are anywhere near normal
may not be of much or any consequence.

John Maindonald email: [EMAIL PROTECTED]
phone : +61 2 (6125)3473fax  : +61 2(6125)5549
Centre for Mathematics  Its Applications, Room 1194,
John Dedman Mathematical Sciences Building (Building 27)
Australian National University, Canberra ACT 0200.


On 17 Aug 2007, at 8:00 PM, [EMAIL PROTECTED] wrote:

 From: Martin Henry H. Stevens [EMAIL PROTECTED]
 Date: 17 August 2007 12:08:15 AM
 To: Margaret Gardiner-Garden [EMAIL PROTECTED]
 Cc: [EMAIL PROTECTED] [EMAIL PROTECTED]
 Subject: Re: [R] residual plots for lmer in lme4 package


 Hi Margaret,
 Have a look at qqmath in the lattice package.
 ?qqmath
 Hank
 On Aug 16, 2007, at 2:45 AM, Margaret Gardiner-Garden wrote:

 Hi,



 I was wondering if I might be able to ask some advice about doing  
 residual
 plots for the lmer function in the lme4 package.



 Our group's aim is to find if the expression staining of a  
 particular gene
 in a sample (or core)  is related to the pathology of the core.

 To do this, we used the lmer function to perform a logistic mixed  
 model
 below.  I apologise in advance for the lack of subscripts.



  logit P(yij=1) = â0 + Ui + â1Patholij where Ui~N(0, óu2),

 i indexes patient, j indexes measurement, Pathol is an indicator  
 variable
 (0,1) for benign

 epithelium versus cancer and yij is the staining indicator (0,1)  
 for each
 core where yij equals 1 if the core stains positive and 0 otherwise.



 (I have inserted some example R code at the end of this message)



 I was wondering if you knew how I could test that the errors Ui  
 are normally
 distributed in my fit.  I am not familiar with how to do residual  
 plots for
 a mixed logistic regression (or even for any logistic regression!).



 Any advice would be greatly appreciated!



 Thanks and Regards

 Marg


__
R-help@stat.math.ethz.ch mailing list
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.


[R] residual plots for lmer in lme4 package

2007-08-16 Thread Margaret Gardiner-Garden
Hi,  

 

I was wondering if I might be able to ask some advice about doing residual
plots for the lmer function in the lme4 package. 

 

Our group's aim is to find if the expression staining of a particular gene
in a sample (or core)  is related to the pathology of the core.

To do this, we used the lmer function to perform a logistic mixed model
below.  I apologise in advance for the lack of subscripts.

 

 logit P(yij=1) = â0 + Ui + â1Patholij where Ui~N(0, óu2),

i indexes patient, j indexes measurement, Pathol is an indicator variable
(0,1) for benign

epithelium versus cancer and yij is the staining indicator (0,1) for each
core where yij equals 1 if the core stains positive and 0 otherwise. 

 

(I have inserted some example R code at the end of this message)

 

I was wondering if you knew how I could test that the errors Ui are normally
distributed in my fit.  I am not familiar with how to do residual plots for
a mixed logistic regression (or even for any logistic regression!). 

 

Any advice would be greatly appreciated!

 

Thanks and Regards

Marg

 

Example code:

 

lmer(Intensity.over2.hyp.canc~Pathology + (1|Patient.ID), data=
HSD17beta4.hyp.canc, family=binomial, na.action=na.omit)

 

 

   

#Family: binomial(logit link)

 #AIC  BIClogLik deviance

   # 414.1101 431.4147 -203.0550 406.1101

   #Random effects:

   # GroupsNameVarianceStd.Dev. 

   # Patient.ID (Intercept)  4.9558  2.2262 

   # of obs: 559, groups: Patient.ID, 177

 

   #Estimated scale (compare to 1)  0.6782544 

 

   #Fixed effects:

#Estimate Std. Error z value  Pr(|z|)

   #(Intercept)  -2.057340.24881 -8.2686  2.2e-16 ***

   #PathologyHyperplasia -1.766270.44909 -3.9330 8.389e-05 ***

 

NB. Intensity.over2.hyp.canc is the staining of the core (ie 0 or 1)

Pathology is Hyperplasia or Cancer

 

 

Dr Margaret Gardiner-Garden

Garvan Institute of Medical Research

384 Victoria Street

Darlinghurst Sydney

NSW 2010 Australia

 

Phone: 61 2 9295 8348

Fax: 61 2 9295 8321

 

 


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Re: [R] residual plots for lmer in lme4 package

2007-08-16 Thread Martin Henry H. Stevens
Hi Margaret,
Have a look at qqmath in the lattice package.
?qqmath
Hank
On Aug 16, 2007, at 2:45 AM, Margaret Gardiner-Garden wrote:

 Hi,



 I was wondering if I might be able to ask some advice about doing  
 residual
 plots for the lmer function in the lme4 package.



 Our group's aim is to find if the expression staining of a  
 particular gene
 in a sample (or core)  is related to the pathology of the core.

 To do this, we used the lmer function to perform a logistic mixed  
 model
 below.  I apologise in advance for the lack of subscripts.



  logit P(yij=1) = â0 + Ui + â1Patholij where Ui~N(0, óu2),

 i indexes patient, j indexes measurement, Pathol is an indicator  
 variable
 (0,1) for benign

 epithelium versus cancer and yij is the staining indicator (0,1)  
 for each
 core where yij equals 1 if the core stains positive and 0 otherwise.



 (I have inserted some example R code at the end of this message)



 I was wondering if you knew how I could test that the errors Ui are  
 normally
 distributed in my fit.  I am not familiar with how to do residual  
 plots for
 a mixed logistic regression (or even for any logistic regression!).



 Any advice would be greatly appreciated!



 Thanks and Regards

 Marg



 Example code:



 lmer(Intensity.over2.hyp.canc~Pathology + (1|Patient.ID), data=
 HSD17beta4.hyp.canc, family=binomial, na.action=na.omit)







 #Family: binomial(logit link)

  #AIC  BIClogLik deviance

# 414.1101 431.4147 -203.0550 406.1101

#Random effects:

# GroupsNameVarianceStd.Dev.

# Patient.ID (Intercept)  4.9558  2.2262

# of obs: 559, groups: Patient.ID, 177



#Estimated scale (compare to 1)  0.6782544



#Fixed effects:

 #Estimate Std. Error z value  Pr(|z|)

#(Intercept)  -2.057340.24881 -8.2686  2.2e-16 ***

#PathologyHyperplasia -1.766270.44909 -3.9330 8.389e-05 ***



 NB. Intensity.over2.hyp.canc is the staining of the core (ie 0 or 1)

 Pathology is Hyperplasia or Cancer





 Dr Margaret Gardiner-Garden

 Garvan Institute of Medical Research

 384 Victoria Street

 Darlinghurst Sydney

 NSW 2010 Australia



 Phone: 61 2 9295 8348

 Fax: 61 2 9295 8321






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