Code for estimating repeatability by ordinal MCMcglmm












0















I'm trying to calculate repeatability of aggression (ordinal scores ranging from 1 to 6) of individuals. Individuals (ID) are not independent, but are nested within colonies. We know that colonies differ from one another in their aggression levels. Therefore, I would like to include colony as random effects in the model and estimate repeatability in aggression of individuals.



My data consists of 204 individuals from 7 colonies, repeatedly tested for aggression for 4 times. Colonies and individuals (ID) were converted as factors (7 levels and 204 levels respectively) before running the MCMCglmm with family = "ordinal".



The following prior was set:



prior=list(R=list(V=1,fix=1),
G=list(G1=list(V=1,nu=1000,alpha.mu=0,alpha.V=1),
G2=list(V=1,nu=1000,alpha.mu=0,alpha.V=1)))


And the model was run with the syntax:



mod<-MCMCglmm(Aggression~1,random=~colony+ID,data=data,family="ordinal",
prior=prior, nitt=500000, thin=1000,burnin=50000,verbose=F)


From this, the posterior mode was extracted as follows:



posterior.mode(mod$VCV)


The output was as follows:



colony: 0.2397765; ID:0.2900612; units: 0.9998443


The repeatability of individuals was calculated as follows:



Repeatability (R) = 0.290/(0.239+0.290+0.999+1), which I guess is equal to between individual variance/total variance. 1 is added to the denominator to account for the probit distribution.



I'm wondering if this is the correct formula code for estimating repeatability? Because I get low and unexpected values of repeatability (0.11).



Autocorrelation was <0.1. Effective sample sizes were between 360 and 450. Also, the trace plot for colony looks a little wierd?



Any help is much appreciated. Thanks!










share|improve this question





























    0















    I'm trying to calculate repeatability of aggression (ordinal scores ranging from 1 to 6) of individuals. Individuals (ID) are not independent, but are nested within colonies. We know that colonies differ from one another in their aggression levels. Therefore, I would like to include colony as random effects in the model and estimate repeatability in aggression of individuals.



    My data consists of 204 individuals from 7 colonies, repeatedly tested for aggression for 4 times. Colonies and individuals (ID) were converted as factors (7 levels and 204 levels respectively) before running the MCMCglmm with family = "ordinal".



    The following prior was set:



    prior=list(R=list(V=1,fix=1),
    G=list(G1=list(V=1,nu=1000,alpha.mu=0,alpha.V=1),
    G2=list(V=1,nu=1000,alpha.mu=0,alpha.V=1)))


    And the model was run with the syntax:



    mod<-MCMCglmm(Aggression~1,random=~colony+ID,data=data,family="ordinal",
    prior=prior, nitt=500000, thin=1000,burnin=50000,verbose=F)


    From this, the posterior mode was extracted as follows:



    posterior.mode(mod$VCV)


    The output was as follows:



    colony: 0.2397765; ID:0.2900612; units: 0.9998443


    The repeatability of individuals was calculated as follows:



    Repeatability (R) = 0.290/(0.239+0.290+0.999+1), which I guess is equal to between individual variance/total variance. 1 is added to the denominator to account for the probit distribution.



    I'm wondering if this is the correct formula code for estimating repeatability? Because I get low and unexpected values of repeatability (0.11).



    Autocorrelation was <0.1. Effective sample sizes were between 360 and 450. Also, the trace plot for colony looks a little wierd?



    Any help is much appreciated. Thanks!










    share|improve this question



























      0












      0








      0








      I'm trying to calculate repeatability of aggression (ordinal scores ranging from 1 to 6) of individuals. Individuals (ID) are not independent, but are nested within colonies. We know that colonies differ from one another in their aggression levels. Therefore, I would like to include colony as random effects in the model and estimate repeatability in aggression of individuals.



      My data consists of 204 individuals from 7 colonies, repeatedly tested for aggression for 4 times. Colonies and individuals (ID) were converted as factors (7 levels and 204 levels respectively) before running the MCMCglmm with family = "ordinal".



      The following prior was set:



      prior=list(R=list(V=1,fix=1),
      G=list(G1=list(V=1,nu=1000,alpha.mu=0,alpha.V=1),
      G2=list(V=1,nu=1000,alpha.mu=0,alpha.V=1)))


      And the model was run with the syntax:



      mod<-MCMCglmm(Aggression~1,random=~colony+ID,data=data,family="ordinal",
      prior=prior, nitt=500000, thin=1000,burnin=50000,verbose=F)


      From this, the posterior mode was extracted as follows:



      posterior.mode(mod$VCV)


      The output was as follows:



      colony: 0.2397765; ID:0.2900612; units: 0.9998443


      The repeatability of individuals was calculated as follows:



      Repeatability (R) = 0.290/(0.239+0.290+0.999+1), which I guess is equal to between individual variance/total variance. 1 is added to the denominator to account for the probit distribution.



      I'm wondering if this is the correct formula code for estimating repeatability? Because I get low and unexpected values of repeatability (0.11).



      Autocorrelation was <0.1. Effective sample sizes were between 360 and 450. Also, the trace plot for colony looks a little wierd?



      Any help is much appreciated. Thanks!










      share|improve this question
















      I'm trying to calculate repeatability of aggression (ordinal scores ranging from 1 to 6) of individuals. Individuals (ID) are not independent, but are nested within colonies. We know that colonies differ from one another in their aggression levels. Therefore, I would like to include colony as random effects in the model and estimate repeatability in aggression of individuals.



      My data consists of 204 individuals from 7 colonies, repeatedly tested for aggression for 4 times. Colonies and individuals (ID) were converted as factors (7 levels and 204 levels respectively) before running the MCMCglmm with family = "ordinal".



      The following prior was set:



      prior=list(R=list(V=1,fix=1),
      G=list(G1=list(V=1,nu=1000,alpha.mu=0,alpha.V=1),
      G2=list(V=1,nu=1000,alpha.mu=0,alpha.V=1)))


      And the model was run with the syntax:



      mod<-MCMCglmm(Aggression~1,random=~colony+ID,data=data,family="ordinal",
      prior=prior, nitt=500000, thin=1000,burnin=50000,verbose=F)


      From this, the posterior mode was extracted as follows:



      posterior.mode(mod$VCV)


      The output was as follows:



      colony: 0.2397765; ID:0.2900612; units: 0.9998443


      The repeatability of individuals was calculated as follows:



      Repeatability (R) = 0.290/(0.239+0.290+0.999+1), which I guess is equal to between individual variance/total variance. 1 is added to the denominator to account for the probit distribution.



      I'm wondering if this is the correct formula code for estimating repeatability? Because I get low and unexpected values of repeatability (0.11).



      Autocorrelation was <0.1. Effective sample sizes were between 360 and 450. Also, the trace plot for colony looks a little wierd?



      Any help is much appreciated. Thanks!







      r mixed-models mcmc ordinal






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      share|improve this question




      share|improve this question








      edited Jan 2 at 18:30









      Dave Gruenewald

      2,3721225




      2,3721225










      asked Jan 2 at 16:47









      BP86BP86

      11




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