Re: [R] Overdispersion using repeated measures lmer

2009-05-19 Thread ONKELINX, Thierry
Dear Christine,

The poisson family does not allow for overdispersion (nor
underdispersion). Try using the quasipoisson family instead.

HTH,

Thierry

 




ir. Thierry Onkelinx
Instituut voor natuur- en bosonderzoek / Research Institute for Nature
and Forest
Cel biometrie, methodologie en kwaliteitszorg / Section biometrics,
methodology and quality assurance
Gaverstraat 4
9500 Geraardsbergen
Belgium
tel. + 32 54/436 185
thierry.onkel...@inbo.be
www.inbo.be

To call in the statistician after the experiment is done may be no more
than asking him to perform a post-mortem examination: he may be able to
say what the experiment died of.
~ Sir Ronald Aylmer Fisher

The plural of anecdote is not data.
~ Roger Brinner

The combination of some data and an aching desire for an answer does not
ensure that a reasonable answer can be extracted from a given body of
data.
~ John Tukey

-Oorspronkelijk bericht-
Van: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org]
Namens Christine Griffiths
Verzonden: maandag 18 mei 2009 13:26
Aan: r-help@r-project.org
Onderwerp: [R] Overdispersion using repeated measures lmer

Dear All

I am trying to do a repeated measures analysis using lmer and have a
number of issues. I have non-orthogonal, unbalanced data.  Count data
was obtained over 10 months for three treatments, which were arranged
into 6 blocks. 
Treatment is not nested in Block but crossed, as I originally designed
an orthogonal, balanced experiment but subsequently lost a treatment
from 2 blocks. My fixed effects are treatment and Month, and my random
effects are Block which was repeated sampled.  My model is:

Model-lmer(Count~Treatment*Month+(Month|Block),data=dataset,family=pois
son(link=sqrt))

Is this the only way in which I can specify my random effects? I.e. can
I specify them as: (1|Block)+(1|Month)?

When I run this model, I do not get any residuals in the error term or
estimated scale parameters and so do not know how to check if I have
overdispersion. Below is the output I obtained.

Generalized linear mixed model fit by the Laplace approximation
Formula: Count ~ Treatment * Month + (Month | Block)
   Data: dataset
   AIC   BIC logLik deviance
 310.9 338.5 -146.4292.9
Random effects:
 Groups NameVariance   Std.Dev. Corr
 Block  (Intercept) 0.06882396 0.262343
Month   0.00011693 0.010813 1.000
Number of obs: 160, groups: Block, 6

Fixed effects:
  Estimate Std. Error z value Pr(|z|)
(Intercept)   1.624030   0.175827   9.237   2e-16 ***
Treatment2.Radiata0.150957   0.207435   0.728 0.466777
Treatment3.Aldabra   -0.005458   0.207435  -0.026 0.979009
Month-0.079955   0.022903  -3.491 0.000481 ***
Treatment2.Radiata:Month  0.048868   0.033340   1.466 0.142717
Treatment3.Aldabra:Month  0.077697   0.033340   2.330 0.019781 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Correlation of Fixed Effects:
(Intr) Trt2.R Trt3.A Month  T2.R:M Trtmnt2.Rdt -0.533
Trtmnt3.Ald -0.533  0.450
Month   -0.572  0.585  0.585
Trtmnt2.R:M  0.474 -0.882 -0.402 -0.661
Trtmnt3.A:M  0.474 -0.402 -0.882 -0.661  0.454


Any advice on how to account for overdispersion would be much
appreciated.

Many thanks in advance
Christine

--
Christine Griffiths
School of Biological Sciences
University of Bristol
Woodland Road
Bristol BS8 1UG
Tel: 0117 9287593
Fax 0117 925 7374
christine.griffi...@bristol.ac.uk
http://www.bio.bris.ac.uk/research/mammal/tortoises.html

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Re: [R] Overdispersion using repeated measures lmer

2009-05-19 Thread Christine Griffiths

Thanks. I did try using quasipoisson and a negative binomial error but am
unsure of the degree of overdispersion and whether it is simply due to
missing values. I am investigating to see if I can replace these missing
values so that I can have a balanced orthogonal design and use lme or aov
instead which is easier to interpret. Any ideas on whether it is feasible to
replace missing values for a small dataset with repeated measures? I have 6
blocks with 3 treatments sampled over 10 months. Two blocks are missing one
treatment, albeit a different one. Also any suggestions about how I would go
about this would be much appreciated. 

I am also unsure of whether my random effects (Month|Block) for repeated
measures with random slope and intercept is correct and whether (1|Month) +
(1|Block) represents repeated measures. Any confirmation would be great. 

Cheers
Christine 



Christine Griffiths-2 wrote:
 
 Dear All
 
 I am trying to do a repeated measures analysis using lmer and have a
 number 
 of issues. I have non-orthogonal, unbalanced data.  Count data was
 obtained 
 over 10 months for three treatments, which were arranged into 6 blocks. 
 Treatment is not nested in Block but crossed, as I originally designed an 
 orthogonal, balanced experiment but subsequently lost a treatment from 2 
 blocks. My fixed effects are treatment and Month, and my random effects
 are 
 Block which was repeated sampled.  My model is:
 
 Model-lmer(Count~Treatment*Month+(Month|Block),data=dataset,family=poisson(link=sqrt))
 
 Is this the only way in which I can specify my random effects? I.e. can I 
 specify them as: (1|Block)+(1|Month)?
 
 When I run this model, I do not get any residuals in the error term or 
 estimated scale parameters and so do not know how to check if I have 
 overdispersion. Below is the output I obtained.
 
 Generalized linear mixed model fit by the Laplace approximation
 Formula: Count ~ Treatment * Month + (Month | Block)
Data: dataset
AIC   BIC logLik deviance
  310.9 338.5 -146.4292.9
 Random effects:
  Groups NameVariance   Std.Dev. Corr
  Block  (Intercept) 0.06882396 0.262343
 Month   0.00011693 0.010813 1.000
 Number of obs: 160, groups: Block, 6
 
 Fixed effects:
   Estimate Std. Error z value Pr(|z|)
 (Intercept)   1.624030   0.175827   9.237   2e-16 ***
 Treatment2.Radiata0.150957   0.207435   0.728 0.466777
 Treatment3.Aldabra   -0.005458   0.207435  -0.026 0.979009
 Month-0.079955   0.022903  -3.491 0.000481 ***
 Treatment2.Radiata:Month  0.048868   0.033340   1.466 0.142717
 Treatment3.Aldabra:Month  0.077697   0.033340   2.330 0.019781 *
 ---
 Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
 
 Correlation of Fixed Effects:
 (Intr) Trt2.R Trt3.A Month  T2.R:M
 Trtmnt2.Rdt -0.533
 Trtmnt3.Ald -0.533  0.450
 Month   -0.572  0.585  0.585
 Trtmnt2.R:M  0.474 -0.882 -0.402 -0.661
 Trtmnt3.A:M  0.474 -0.402 -0.882 -0.661  0.454
 
 
 Any advice on how to account for overdispersion would be much appreciated.
 
 Many thanks in advance
 Christine
 
 --
 Christine Griffiths
 School of Biological Sciences
 University of Bristol
 Woodland Road
 Bristol BS8 1UG
 Tel: 0117 9287593
 Fax 0117 925 7374
 christine.griffi...@bristol.ac.uk
 http://www.bio.bris.ac.uk/research/mammal/tortoises.html
 
 __
 R-help@r-project.org 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.
 
 

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Re: [R] Overdispersion using repeated measures lmer

2009-05-19 Thread ONKELINX, Thierry
Dear Christine,

(Month|Block) and (1|Block) + (1|Month) are completely different random 
effects. The first assumes that each Block exhibits a different linear trend 
along Month. The latter assumes that each block has a random effect, each month 
has a random effect and that the random effects of block and month are 
independent. So each month has a different effect, but within a given month 
that effect is the same on each block. It is up to you to see if that kind of 
assumption is valid in your design.

Missing values should not be a problem, as long as they are missing at random. 
I would not try to impute the missing values. How would you determine the 
imputed values? That requires a lot of assumptions and they could affect your 
model parameters.

HTH,

Thierry



ir. Thierry Onkelinx
Instituut voor natuur- en bosonderzoek / Research Institute for Nature and 
Forest
Cel biometrie, methodologie en kwaliteitszorg / Section biometrics, methodology 
and quality assurance
Gaverstraat 4
9500 Geraardsbergen
Belgium
tel. + 32 54/436 185
thierry.onkel...@inbo.be
www.inbo.be

To call in the statistician after the experiment is done may be no more than 
asking him to perform a post-mortem examination: he may be able to say what the 
experiment died of.
~ Sir Ronald Aylmer Fisher

The plural of anecdote is not data.
~ Roger Brinner

The combination of some data and an aching desire for an answer does not ensure 
that a reasonable answer can be extracted from a given body of data.
~ John Tukey

-Oorspronkelijk bericht-
Van: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org] Namens 
Christine Griffiths
Verzonden: dinsdag 19 mei 2009 11:01
Aan: r-help@r-project.org
Onderwerp: Re: [R] Overdispersion using repeated measures lmer


Thanks. I did try using quasipoisson and a negative binomial error but am 
unsure of the degree of overdispersion and whether it is simply due to missing 
values. I am investigating to see if I can replace these missing values so that 
I can have a balanced orthogonal design and use lme or aov instead which is 
easier to interpret. Any ideas on whether it is feasible to replace missing 
values for a small dataset with repeated measures? I have 6 blocks with 3 
treatments sampled over 10 months. Two blocks are missing one treatment, albeit 
a different one. Also any suggestions about how I would go about this would be 
much appreciated. 

I am also unsure of whether my random effects (Month|Block) for repeated 
measures with random slope and intercept is correct and whether (1|Month) +
(1|Block) represents repeated measures. Any confirmation would be great. 

Cheers
Christine 



Christine Griffiths-2 wrote:
 
 Dear All
 
 I am trying to do a repeated measures analysis using lmer and have a 
 number of issues. I have non-orthogonal, unbalanced data.  Count data 
 was obtained over 10 months for three treatments, which were arranged 
 into 6 blocks.
 Treatment is not nested in Block but crossed, as I originally designed 
 an orthogonal, balanced experiment but subsequently lost a treatment 
 from 2 blocks. My fixed effects are treatment and Month, and my random 
 effects are Block which was repeated sampled.  My model is:
 
 Model-lmer(Count~Treatment*Month+(Month|Block),data=dataset,family=po
 isson(link=sqrt))
 
 Is this the only way in which I can specify my random effects? I.e. 
 can I specify them as: (1|Block)+(1|Month)?
 
 When I run this model, I do not get any residuals in the error term or 
 estimated scale parameters and so do not know how to check if I have 
 overdispersion. Below is the output I obtained.
 
 Generalized linear mixed model fit by the Laplace approximation
 Formula: Count ~ Treatment * Month + (Month | Block)
Data: dataset
AIC   BIC logLik deviance
  310.9 338.5 -146.4292.9
 Random effects:
  Groups NameVariance   Std.Dev. Corr
  Block  (Intercept) 0.06882396 0.262343
 Month   0.00011693 0.010813 1.000
 Number of obs: 160, groups: Block, 6
 
 Fixed effects:
   Estimate Std. Error z value Pr(|z|)
 (Intercept)   1.624030   0.175827   9.237   2e-16 ***
 Treatment2.Radiata0.150957   0.207435   0.728 0.466777
 Treatment3.Aldabra   -0.005458   0.207435  -0.026 0.979009
 Month-0.079955   0.022903  -3.491 0.000481 ***
 Treatment2.Radiata:Month  0.048868   0.033340   1.466 0.142717
 Treatment3.Aldabra:Month  0.077697   0.033340   2.330 0.019781 *
 ---
 Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
 
 Correlation of Fixed Effects:
 (Intr) Trt2.R Trt3.A Month  T2.R:M Trtmnt2.Rdt -0.533 
 Trtmnt3.Ald -0.533  0.450
 Month   -0.572  0.585  0.585
 Trtmnt2.R:M  0.474 -0.882 -0.402 -0.661 Trtmnt3.A:M  0.474 -0.402 
 -0.882 -0.661  0.454
 
 
 Any advice on how to account for overdispersion would be much appreciated.
 
 Many thanks in advance

[R] Overdispersion using repeated measures lmer

2009-05-18 Thread Christine Griffiths

Dear All

I am trying to do a repeated measures analysis using lmer and have a number 
of issues. I have non-orthogonal, unbalanced data.  Count data was obtained 
over 10 months for three treatments, which were arranged into 6 blocks. 
Treatment is not nested in Block but crossed, as I originally designed an 
orthogonal, balanced experiment but subsequently lost a treatment from 2 
blocks. My fixed effects are treatment and Month, and my random effects are 
Block which was repeated sampled.  My model is:


Model-lmer(Count~Treatment*Month+(Month|Block),data=dataset,family=poisson(link=sqrt))

Is this the only way in which I can specify my random effects? I.e. can I 
specify them as: (1|Block)+(1|Month)?


When I run this model, I do not get any residuals in the error term or 
estimated scale parameters and so do not know how to check if I have 
overdispersion. Below is the output I obtained.


Generalized linear mixed model fit by the Laplace approximation
Formula: Count ~ Treatment * Month + (Month | Block)
  Data: dataset
  AIC   BIC logLik deviance
310.9 338.5 -146.4292.9
Random effects:
Groups NameVariance   Std.Dev. Corr
Block  (Intercept) 0.06882396 0.262343
   Month   0.00011693 0.010813 1.000
Number of obs: 160, groups: Block, 6

Fixed effects:
 Estimate Std. Error z value Pr(|z|)
(Intercept)   1.624030   0.175827   9.237   2e-16 ***
Treatment2.Radiata0.150957   0.207435   0.728 0.466777
Treatment3.Aldabra   -0.005458   0.207435  -0.026 0.979009
Month-0.079955   0.022903  -3.491 0.000481 ***
Treatment2.Radiata:Month  0.048868   0.033340   1.466 0.142717
Treatment3.Aldabra:Month  0.077697   0.033340   2.330 0.019781 *
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation of Fixed Effects:
   (Intr) Trt2.R Trt3.A Month  T2.R:M
Trtmnt2.Rdt -0.533
Trtmnt3.Ald -0.533  0.450
Month   -0.572  0.585  0.585
Trtmnt2.R:M  0.474 -0.882 -0.402 -0.661
Trtmnt3.A:M  0.474 -0.402 -0.882 -0.661  0.454


Any advice on how to account for overdispersion would be much appreciated.

Many thanks in advance
Christine

--
Christine Griffiths
School of Biological Sciences
University of Bristol
Woodland Road
Bristol BS8 1UG
Tel: 0117 9287593
Fax 0117 925 7374
christine.griffi...@bristol.ac.uk
http://www.bio.bris.ac.uk/research/mammal/tortoises.html

__
R-help@r-project.org 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.