Hi all: I have an analytical dilemma wherein I have a single DV with multiple categorical and continuous IVs (one of which is a continuous IV that has multiple measurements across time). I'm not sure the best way to model for this - though it's clearly a hierarchical situation so I thought this might be a good venue to pose the question. Specifically, I have 60 pregnant elk from which I took monthly cortisol samples across gestation (some missing values, so 5-8 samples/female across gestation). I'm interested in how those stress measurements across gestation (along with a range of other IVs that don't vary with time, e.g., dam age, sire age, calf birthdate) influence the birth mass of each female's calf. Any suggestions on analysis for situations where a single DV is predicted by longitudinal measures of time-varying IV (along with non-varying IVs)? I'm new to this list and will spend some time familiarizing myself with it - but was eager to get my question out. Apologies if this isn't the right venue for my non-development related question. Please disregard if appropriate. I appreciate any thoughts/advice/suggestions! El Ellen Pero PhD Student Wildlife Biology Program W.A. Franke College of Forestry and Conservation University of Montana 32 Campus Drive, FOR 318 Missoula, MT 59812
Single DV with multiple measures for time-varying IV?
6 messages · Pero, Ellen, Bill Poling, Ben Bolker +1 more
6 days later
Dear Ellen, An extract of your dataset or a small dummy dataset coverting the important features of your data would make it much easier to answer your questions. And please don't send HTML emails. Any HTML formating gets stripped which can make your email very hard to read. Best regards, ir. Thierry Onkelinx Statisticus / Statistician Vlaamse Overheid / Government of Flanders INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE AND FOREST Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance thierry.onkelinx at inbo.be Havenlaan 88 bus 73, 1000 Brussel 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 /////////////////////////////////////////////////////////////////////////////////////////// <https://www.inbo.be> Op ma 12 nov. 2018 om 20:01 schreef Pero, Ellen < ellen.pero at umconnect.umt.edu>:
Hi all:
I have an analytical dilemma wherein I have a single DV with multiple
categorical and continuous IVs (one of which is a continuous IV that has
multiple measurements across time). I'm not sure the best way to model for
this - though it's clearly a hierarchical situation so I thought this might
be a good venue to pose the question.
Specifically, I have 60 pregnant elk from which I took monthly cortisol
samples across gestation (some missing values, so 5-8 samples/female across
gestation). I'm interested in how those stress measurements across
gestation (along with a range of other IVs that don't vary with time, e.g.,
dam age, sire age, calf birthdate) influence the birth mass of each
female's calf.
Any suggestions on analysis for situations where a single DV is predicted
by longitudinal measures of time-varying IV (along with non-varying IVs)?
I'm new to this list and will spend some time familiarizing myself with it
- but was eager to get my question out. Apologies if this isn't the right
venue for my non-development related question. Please disregard if
appropriate.
I appreciate any thoughts/advice/suggestions!
El
Ellen Pero
PhD Student
Wildlife Biology Program
W.A. Franke College of Forestry and Conservation
University of Montana
32 Campus Drive, FOR 318
Missoula, MT 59812
[[alternative HTML version deleted]]
_______________________________________________ R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
Hi Ellen. If the data frame is not too terribly large, a dput() would be useful. See ?dput() Or a str() would help as well See ?str() However, as Thierry suggests a subset of your data would be most helpful. I will be interested to follow this topic as I am teaching myself R and learning the various modeling methods and their purposes along the way. I think you will gain considerable support from this list relevant to your topic. Best regards. WHP From: R-sig-mixed-models <r-sig-mixed-models-bounces at r-project.org> On Behalf Of Thierry Onkelinx via R-sig-mixed-models Sent: Monday, November 19, 2018 4:01 AM To: ellen.pero at umconnect.umt.edu Cc: r-sig-mixed-models <r-sig-mixed-models at r-project.org> Subject: Re: [R-sig-ME] Single DV with multiple measures for time-varying IV? Dear Ellen, An extract of your dataset or a small dummy dataset coverting the important features of your data would make it much easier to answer your questions. And please don't send HTML emails. Any HTML formating gets stripped which can make your email very hard to read. Best regards, ir. Thierry Onkelinx Statisticus / Statistician Vlaamse Overheid / Government of Flanders INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE AND FOREST Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance mailto:thierry.onkelinx at inbo.be Havenlaan 88 bus 73, 1000 Brussel http://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 /////////////////////////////////////////////////////////////////////////////////////////// <https://www.inbo.be> Op ma 12 nov. 2018 om 20:01 schreef Pero, Ellen < mailto:ellen.pero at umconnect.umt.edu>:
Hi all: I have an analytical dilemma wherein I have a single DV with multiple categorical and continuous IVs (one of which is a continuous IV that has multiple measurements across time). I'm not sure the best way to model for this - though it's clearly a hierarchical situation so I thought this might be a good venue to pose the question. Specifically, I have 60 pregnant elk from which I took monthly cortisol samples across gestation (some missing values, so 5-8 samples/female across gestation). I'm interested in how those stress measurements across gestation (along with a range of other IVs that don't vary with time, e.g., dam age, sire age, calf birthdate) influence the birth mass of each female's calf. Any suggestions on analysis for situations where a single DV is predicted by longitudinal measures of time-varying IV (along with non-varying IVs)? I'm new to this list and will spend some time familiarizing myself with it - but was eager to get my question out. Apologies if this isn't the right venue for my non-development related question. Please disregard if appropriate. I appreciate any thoughts/advice/suggestions! El Ellen Pero PhD Student Wildlife Biology Program W.A. Franke College of Forestry and Conservation University of Montana 32 Campus Drive, FOR 318 Missoula, MT 59812 [[alternative HTML version deleted]]
_______________________________________________ mailto:R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
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2 days later
Thank you Bill and Thierry.
I don't yet have data in hand (cortisol samples await assay). However, this is what they will look like:
cortisol
---------------------------------
ID DV Month 1 Month 2 ... Month 8 dam age, sire age, calf birthdate
1 ....
2 ....
.. ....
60 ....
While I can simulate more data, my primary question is theoretical:
Is it acceptable practice to share a single dependent response (DV: here calf mass (kg)) amongst multiple time-varying nested independent predictors (here, monthly cortisol) as long as I place a random effect to signify the individual I am nesting on (ID).
ID DV cortisol, time, dam age, sire age, calf birthdate
1 17 35 Month 1 4 3 140
1 17 42 Month 2 4 3 140
........................................................
1 17 58 Month 8 4 3 140
2 19 30 Month 1 3 5 150
2 19 33 Month 2 3 5 150
........................................................
2 19 42 Month 7 3 5 150
........................................................
60 14 51 Month 2 2 2 162
60 14 58 Month 3 2 2 162
........................................................
60 14 70 Month 8 2 2 162
From my digging, I don't think it is good practice. So, for now, I am planning to average repeated cortisol samples within an individual to produce an 'early' and 'late' value, and include both as covariates within a glm.
I appreciate your support and encouragement! El Ellen Pero PhD Student Wildlife Biology Program W.A. Franke College of Forestry and Conservation University of Montana 32 Campus Drive, FOR 318 Missoula, MT 59812
From: Bill Poling <Bill.Poling at zelis.com>
Sent: Monday, November 19, 2018 4:26 AM
To: Pero, Ellen
Cc: Thierry Onkelinx; r-sig-mixed-models at r-project.org; Bill Poling
Subject: RE: [R-sig-ME] Single DV with multiple measures for time-varying IV?
Sent: Monday, November 19, 2018 4:26 AM
To: Pero, Ellen
Cc: Thierry Onkelinx; r-sig-mixed-models at r-project.org; Bill Poling
Subject: RE: [R-sig-ME] Single DV with multiple measures for time-varying IV?
Hi Ellen. If the data frame is not too terribly large, a dput() would be useful. See ?dput() Or a str() would help as well See ?str() However, as Thierry suggests a subset of your data would be most helpful. I will be interested to follow this topic as I am teaching myself R and learning the various modeling methods and their purposes along the way. I think you will gain considerable support from this list relevant to your topic. Best regards. WHP From: R-sig-mixed-models <r-sig-mixed-models-bounces at r-project.org> On Behalf Of Thierry Onkelinx via R-sig-mixed-models Sent: Monday, November 19, 2018 4:01 AM To: ellen.pero at umconnect.umt.edu Cc: r-sig-mixed-models <r-sig-mixed-models at r-project.org> Subject: Re: [R-sig-ME] Single DV with multiple measures for time-varying IV? Dear Ellen, An extract of your dataset or a small dummy dataset coverting the important features of your data would make it much easier to answer your questions. And please don't send HTML emails. Any HTML formating gets stripped which can make your email very hard to read. Best regards, ir. Thierry Onkelinx Statisticus / Statistician Vlaamse Overheid / Government of Flanders INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE AND FOREST Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance mailto:thierry.onkelinx at inbo.be Havenlaan 88 bus 73, 1000 Brussel http://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 /////////////////////////////////////////////////////////////////////////////////////////// <https://www.inbo.be> Op ma 12 nov. 2018 om 20:01 schreef Pero, Ellen < mailto:ellen.pero at umconnect.umt.edu>: > Hi all: > > I have an analytical dilemma wherein I have a single DV with multiple > categorical and continuous IVs (one of which is a continuous IV that has > multiple measurements across time). I'm not sure the best way to model for > this - though it's clearly a hierarchical situation so I thought this might > be a good venue to pose the question. > > Specifically, I have 60 pregnant elk from which I took monthly cortisol > samples across gestation (some missing values, so 5-8 samples/female across > gestation). I'm interested in how those stress measurements across > gestation (along with a range of other IVs that don't vary with time, e.g., > dam age, sire age, calf birthdate) influence the birth mass of each > female's calf. > > Any suggestions on analysis for situations where a single DV is predicted > by longitudinal measures of time-varying IV (along with non-varying IVs)? > > I'm new to this list and will spend some time familiarizing myself with it > - but was eager to get my question out. Apologies if this isn't the right > venue for my non-development related question. Please disregard if > appropriate. > > I appreciate any thoughts/advice/suggestions! > El > > > > Ellen Pero > PhD Student > Wildlife Biology Program > W.A. Franke College of Forestry and Conservation > University of Montana > 32 Campus Drive, FOR 318 > Missoula, MT 59812 > > > [[alternative HTML version deleted]] > > _______________________________________________ > mailto:R-sig-mixed-models at r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models > [[alternative HTML version deleted]] _______________________________________________ mailto:R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models Confidentiality Notice This message is sent from Zelis. ...{{dropped:16}}
Just for the record; I agree that it's almost definitely *not* going to work to have identical responses for different predictor values. Someone asked a similar question on StackOverflow recently: https://stackoverflow.com/questions/53034261/warning-lme4-model-failed-to-converge-with-maxgrad cheers Ben Bolker
On 2018-11-21 10:28 a.m., Pero, Ellen wrote:
Thank you Bill and Thierry.
I don't yet have data in hand (cortisol samples await assay). However, this is what they will look like:
cortisol
---------------------------------
ID DV Month 1 Month 2 ... Month 8 dam age, sire age, calf birthdate
1 ....
2 ....
.. ....
60 ....
While I can simulate more data, my primary question is theoretical:
Is it acceptable practice to share a single dependent response (DV: here calf mass (kg)) amongst multiple time-varying nested independent predictors (here, monthly cortisol) as long as I place a random effect to signify the individual I am nesting on (ID).
ID DV cortisol, time, dam age, sire age, calf birthdate
1 17 35 Month 1 4 3 140
1 17 42 Month 2 4 3 140
........................................................
1 17 58 Month 8 4 3 140
2 19 30 Month 1 3 5 150
2 19 33 Month 2 3 5 150
........................................................
2 19 42 Month 7 3 5 150
........................................................
60 14 51 Month 2 2 2 162
60 14 58 Month 3 2 2 162
........................................................
60 14 70 Month 8 2 2 162
From my digging, I don't think it is good practice. So, for now, I am planning to average repeated cortisol samples within an individual to produce an 'early' and 'late' value, and include both as covariates within a glm.
I appreciate your support and encouragement!
El
Ellen Pero
PhD Student
Wildlife Biology Program
W.A. Franke College of Forestry and Conservation
University of Montana
32 Campus Drive, FOR 318
Missoula, MT 59812
________________________________ From: Bill Poling <Bill.Poling at zelis.com> Sent: Monday, November 19, 2018 4:26 AM To: Pero, Ellen Cc: Thierry Onkelinx; r-sig-mixed-models at r-project.org; Bill Poling Subject: RE: [R-sig-ME] Single DV with multiple measures for time-varying IV? Hi Ellen. If the data frame is not too terribly large, a dput() would be useful. See ?dput() Or a str() would help as well See ?str() However, as Thierry suggests a subset of your data would be most helpful. I will be interested to follow this topic as I am teaching myself R and learning the various modeling methods and their purposes along the way. I think you will gain considerable support from this list relevant to your topic. Best regards. WHP From: R-sig-mixed-models <r-sig-mixed-models-bounces at r-project.org> On Behalf Of Thierry Onkelinx via R-sig-mixed-models Sent: Monday, November 19, 2018 4:01 AM To: ellen.pero at umconnect.umt.edu Cc: r-sig-mixed-models <r-sig-mixed-models at r-project.org> Subject: Re: [R-sig-ME] Single DV with multiple measures for time-varying IV? Dear Ellen, An extract of your dataset or a small dummy dataset coverting the important features of your data would make it much easier to answer your questions. And please don't send HTML emails. Any HTML formating gets stripped which can make your email very hard to read. Best regards, ir. Thierry Onkelinx Statisticus / Statistician Vlaamse Overheid / Government of Flanders INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE AND FOREST Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance mailto:thierry.onkelinx at inbo.be Havenlaan 88 bus 73, 1000 Brussel http://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 /////////////////////////////////////////////////////////////////////////////////////////// <https://www.inbo.be> Op ma 12 nov. 2018 om 20:01 schreef Pero, Ellen < mailto:ellen.pero at umconnect.umt.edu>: Hi all: I have an analytical dilemma wherein I have a single DV with multiple categorical and continuous IVs (one of which is a continuous IV that has multiple measurements across time). I'm not sure the best way to model for this - though it's clearly a hierarchical situation so I thought this might be a good venue to pose the question. Specifically, I have 60 pregnant elk from which I took monthly cortisol samples across gestation (some missing values, so 5-8 samples/female across gestation). I'm interested in how those stress measurements across gestation (along with a range of other IVs that don't vary with time, e.g., dam age, sire age, calf birthdate) influence the birth mass of each female's calf. Any suggestions on analysis for situations where a single DV is predicted by longitudinal measures of time-varying IV (along with non-varying IVs)? I'm new to this list and will spend some time familiarizing myself with it - but was eager to get my question out. Apologies if this isn't the right venue for my non-development related question. Please disregard if appropriate. I appreciate any thoughts/advice/suggestions! El Ellen Pero PhD Student Wildlife Biology Program W.A. Franke College of Forestry and Conservation University of Montana 32 Campus Drive, FOR 318 Missoula, MT 59812 [[alternative HTML version deleted]] _______________________________________________ mailto:R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models [[alternative HTML version deleted]] _______________________________________________ mailto:R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models Confidentiality Notice This message is sent from Zelis. ...{{dropped:16}} _______________________________________________ R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
And even if the model would converge, then it still is wrong to do it. When modelling the calf birth weight, then one calf = one observation. A calf is born once. In case you have plenlty of births, then you could try to model the cortisol values and use that model to impute missing values. And then model the birth weight using the augemented data. Make sure to use multiple imputation to do so! Otherwise the confidence intervals will be too small. See e.g. Rubin 1987 and Onkelinx et al 2017 (doi:10.1007/s10336-016-1404-9) However given that you have only 60 observations, you have too few observations to take each of the eight months into account. Best regards, ir. Thierry Onkelinx Statisticus / Statistician Vlaamse Overheid / Government of Flanders INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE AND FOREST Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance thierry.onkelinx at inbo.be Havenlaan 88 bus 73, 1000 Brussel 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 /////////////////////////////////////////////////////////////////////////////////////////// <https://www.inbo.be> Op wo 21 nov. 2018 om 18:50 schreef Ben Bolker <bbolker at gmail.com>:
Just for the record; I agree that it's almost definitely *not* going to work to have identical responses for different predictor values. Someone asked a similar question on StackOverflow recently: https://stackoverflow.com/questions/53034261/warning-lme4-model-failed-to-converge-with-maxgrad cheers Ben Bolker On 2018-11-21 10:28 a.m., Pero, Ellen wrote:
Thank you Bill and Thierry. I don't yet have data in hand (cortisol samples await assay). However,
this is what they will look like:
cortisol
---------------------------------
ID DV Month 1 Month 2 ... Month 8 dam age, sire age, calf
birthdate
1 .... 2 .... .. .... 60 .... While I can simulate more data, my primary question is theoretical: Is it acceptable practice to share a single dependent response (DV: here
calf mass (kg)) amongst multiple time-varying nested independent predictors (here, monthly cortisol) as long as I place a random effect to signify the individual I am nesting on (ID).
ID DV cortisol, time, dam age, sire age, calf birthdate 1 17 35 Month 1 4 3 140 1 17 42 Month 2 4 3 140 ........................................................ 1 17 58 Month 8 4 3 140 2 19 30 Month 1 3 5 150 2 19 33 Month 2 3 5 150 ........................................................ 2 19 42 Month 7 3 5 150 ........................................................ 60 14 51 Month 2 2 2 162 60 14 58 Month 3 2 2 162 ........................................................ 60 14 70 Month 8 2 2 162 From my digging, I don't think it is good practice. So, for now, I am
planning to average repeated cortisol samples within an individual to produce an 'early' and 'late' value, and include both as covariates within a glm.
I appreciate your support and encouragement! El Ellen Pero PhD Student Wildlife Biology Program W.A. Franke College of Forestry and Conservation University of Montana 32 Campus Drive, FOR 318 Missoula, MT 59812
________________________________ From: Bill Poling <Bill.Poling at zelis.com> Sent: Monday, November 19, 2018 4:26 AM To: Pero, Ellen Cc: Thierry Onkelinx; r-sig-mixed-models at r-project.org; Bill Poling Subject: RE: [R-sig-ME] Single DV with multiple measures for
time-varying IV?
Hi Ellen. If the data frame is not too terribly large, a dput() would be useful. See ?dput() Or a str() would help as well See ?str() However, as Thierry suggests a subset of your data would be most helpful. I will be interested to follow this topic as I am teaching myself R and
learning the various modeling methods and their purposes along the way.
I think you will gain considerable support from this list relevant to
your topic.
Best regards. WHP From: R-sig-mixed-models <r-sig-mixed-models-bounces at r-project.org> On
Behalf Of Thierry Onkelinx via R-sig-mixed-models
Sent: Monday, November 19, 2018 4:01 AM To: ellen.pero at umconnect.umt.edu Cc: r-sig-mixed-models <r-sig-mixed-models at r-project.org> Subject: Re: [R-sig-ME] Single DV with multiple measures for
time-varying IV?
Dear Ellen, An extract of your dataset or a small dummy dataset coverting the
important
features of your data would make it much easier to answer your questions. And please don't send HTML emails. Any HTML formating gets stripped which can make your email very hard to read. Best regards, ir. Thierry Onkelinx Statisticus / Statistician Vlaamse Overheid / Government of Flanders INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE
AND
FOREST Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance mailto:thierry.onkelinx at inbo.be Havenlaan 88 bus 73, 1000 Brussel http://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
///////////////////////////////////////////////////////////////////////////////////////////
<https://www.inbo.be> Op ma 12 nov. 2018 om 20:01 schreef Pero, Ellen < mailto:ellen.pero at umconnect.umt.edu>:
Hi all: I have an analytical dilemma wherein I have a single DV with multiple categorical and continuous IVs (one of which is a continuous IV that has multiple measurements across time). I'm not sure the best way to model
for
this - though it's clearly a hierarchical situation so I thought this
might
be a good venue to pose the question. Specifically, I have 60 pregnant elk from which I took monthly cortisol samples across gestation (some missing values, so 5-8 samples/female
across
gestation). I'm interested in how those stress measurements across gestation (along with a range of other IVs that don't vary with time,
e.g.,
dam age, sire age, calf birthdate) influence the birth mass of each female's calf. Any suggestions on analysis for situations where a single DV is
predicted
by longitudinal measures of time-varying IV (along with non-varying
IVs)?
I'm new to this list and will spend some time familiarizing myself with
it
- but was eager to get my question out. Apologies if this isn't the
right
venue for my non-development related question. Please disregard if appropriate. I appreciate any thoughts/advice/suggestions! El Ellen Pero PhD Student Wildlife Biology Program W.A. Franke College of Forestry and Conservation University of Montana 32 Campus Drive, FOR 318 Missoula, MT 59812 [[alternative HTML version deleted]]
_______________________________________________ mailto:R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
[[alternative HTML version deleted]]
_______________________________________________ mailto:R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models Confidentiality Notice This message is sent from Zelis. ...{{dropped:16}} _______________________________________________ R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
_______________________________________________ R-sig-mixed-models at r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models