[R-sig-ME] [R-sig-eco] LRT tests in lmer

Jarrod Hadfield j.hadfield at ed.ac.uk
Wed Aug 11 18:34:29 CEST 2010


Hi Chris,


The model syntax looks reasonable but there seems to be some large  
posterior means (outside of the 95% credible range). I bet plot(model 
$VCV) looks pretty horrible too. You need to  consider using proper  
priors in this instance because the chain is getting stuck at zero for  
long periods of time and generating numerical problems. I tend to use  
parameter expanded priors more and more as they improve mixing and  
seem to be only weakly informative. For example: G1=list(V=1, nu=1,  
alpha.mu=0, alpha.V=1000) ....  There is also the possibility that you  
have complete separation as you have a lot of fixed effects and many  
levels in the ordinal response - are all 5's for example associated  
with a single fixed factor, or something like this?

Jarrod



On 11 Aug 2010, at 17:20, Chris Mcowen wrote:

> Sorry about the formatting,
>
> i was not going to use P values for model selection, rather the DIC  
> value
>
> Iterations = 12991
> Thinning interval  = 3001
> Sample size  = 1000
>
> DIC: 3171.501
>
> G-structure:  ~order
>
>      post.mean  l-95% CI u-95% CI eff.samp
> order      7720 4.023e-13  0.09208     1000
>
>               ~fam:fam
>
>        post.mean  l-95% CI u-95% CI eff.samp
> fam:fam   4092456 2.376e-12  0.02938     1000
>
> R-structure:  ~units
>
>      post.mean l-95% CI u-95% CI eff.samp
> units         1        1        1        0
>
> Location effects: IUCN ~ STO + BS + PD + FR + END + WO + RG + SEA +  
> ALT + BIO + SE + FS
>
>                         			post.mean   l-95% CI   u-95% 		CI  
> eff.samp pMCMC
> (Intercept)              		39.065870  -3.510793   2.407406   1000.0  
> 		0.776
> STOStorage organ        	 -0.004916  -0.299409   0.230731    757.2		  
> 0.946
> BSUnisexual flower       	 0.211852  -0.131660   0.548879    708.0 		 
> 0.212
> BSUnisexual plant         	0.370895   0.003567   0.817429    770.3 		 
> 0.070 .
> PDBiotic                  		0.381261   0.054626   0.724368    774.4  
> 		0.040 *
> PDMammalia               		26.364377  -2.139720   1.397539   1000		. 
> 0 0.724
> FRNon_fleshy_fruit       	-0.208198  -0.536699   0.083012    964.2 		 
> 0.202
> ENDNon_endospermous   0.503829   0.200868   0.822120    591.7 		 
> 0.004 **
> WOWoody                  		-0.203632  -0.565069   0.139240    857.5  
> 		0.272
> RGTwo+                   		-0.052508  -0.250675   0.163811    831.8  
> 		0.588
> SEAHapaxanthic           	-1.344993  -4.504625   1.848373    890.4 		 
> 0.406
> SEAHapaxanthic          	  0.223060  -1.590483   2.012970    785.9 		 
> 0.800
> SEAPerennial             		-0.097971  -0.460607   0.304681    849.9  
> 		0.580
> SEAPleonanthic       	       -0.069756  -0.813837   0.704066     
> 969.4 		0.872
> ALTHigh                 		 -0.129331  -0.483238   0.200436   1000.0  
> 		0.472
> ALTLow                  		 -0.171467  -0.514753   0.121200    842.9  
> 		0.316
> ALTMid                   		 0.068307  -0.227978   0.379701    814.9  
> 		0.660
> BIOBoreal                 		1.785916  -1.222387   4.769563    860.2  
> 		0.254
> BIOMediterranean-type     2.105530  -0.888236   4.786029    817.9 		 
> 0.156
> BIOSubantarctic           	2.214561  -0.888921   5.239470    841.3 		 
> 0.190
> BIOSubarctic            		  2.441894  -0.667793   5.677992    849.5  
> 		0.142
> BIOSubtropical/Tropical     2.336425  -0.660675   4.899198    928.3  
> 		0.124
> BIOTemperate             		 2.315834  -0.761101   4.826330    809.2  
> 		0.132
> SEFew-Several           		146.220538  -0.620787   3.933475   1000.0  
> 		0.172
> SENumerous              	  	0.206148  -0.117869   0.572987    734.9  
> 		0.236
> SESeveral                 		0.626675  -0.236956   1.456895    881.7  
> 		0.134
> SESingle                		  0.399690   0.030041   0.779923    709.8  
> 		0.032 *
> FSZygomorphic            	 0.032334  -0.215194   0.265597    355.7 		 
> 0.814
> ---
> Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
>
> Cutpoints:
>                     post.mean l-95% CI u-95% CI eff.samp
> cutpoint.traitIUCN.1    0.6593   0.5211    0.793    48.46
> cutpoint.traitIUCN.2    2.4694   2.2952    2.663    41.37
> cutpoint.traitIUCN.3    3.6258   3.4220    3.827    38.02
> cutpoint.traitIUCN.4    4.1156   3.9166    4.341    52.46
> On 11 Aug 2010, at 17:15, Jarrod Hadfield wrote:
>
> Hi,
>
> Could you give summary(model) with the new version (2.05) - it will  
> be easier to see what is going on?
>
> Jarrod
> On 11 Aug 2010, at 17:08, Chris Mcowen wrote:
>
>> Hi Jarrord,
>>
>> I have tried using MCMCglmm, however the posterior distributions of  
>> the majority of the fixed factors straddle 0, which i have read is  
>> a problem, likely with the priors.
>>
>> HPDintervals - https://files.me.com/chrismcowen/wqq1lu
>>
>> prior=list(R=list(V=1, fix=1), G=list(G1=list(V=1, nu=0),  
>> G2=list(V=1, nu=0)))
>>
>> So i am unsure how to interpret the results, as to ascertain the  
>> importance of each factor.
>>
>> Unfortunately i don't know enough about baysian statistics or R to  
>> alter my model so the interpretations become clearer.
>>
>> An example
>>
>>                            			lower      		upper
>> (Intercept)             			-3.510792767 	2.40740650
>> STOStorage organ        	-0.299408836 	0.23073133
>> BSUnisexual flower      	-0.131660436 	0.54887912
>> BSUnisexual plant       	 0.003566637 	0.81742862
>> PDBiotic                			 0.054625970 	0.72436838
>> PDMammalia              		-2.139720264 	1.39753939
>>
>>
>>
>> On 11 Aug 2010, at 16:37, Jarrod Hadfield wrote:
>>
>> Hi Chris,
>>
>> It is hard to say as it will depend on the fixed effects. In  
>> addition its not clear whether such a situation is diagnostic of a  
>> problem.  Imagine you just have an intercept which is estimated to  
>> be exactly zero. The residuals on the data scale will be either 0.5  
>> or -0.5, but this does not imply the model is wrong.
>>
>> Cheers,
>>
>> Jarrod
>>
>> On 11 Aug 2010, at 15:41, Chris Mcowen wrote:
>>
>>> Thats great thanks,
>>>
>>> But will this work where you have a binary response variable or  
>>> will the residuals clump around 1 and 0?
>>>
>>> Chris
>>> On 11 Aug 2010, at 15:31, Ben Bolker wrote:
>>>
>>> On 10-08-11 10:21 AM, Chris Mcowen wrote:
>>>> Dear Ben/Rob.
>>>>
>>>>
>>>>> As far as I can tell, the standard advice is simply to look at  
>>>>> the predictions of the model, compare them with the data, and  
>>>>> try to spot any systematic patterns in the residuals.
>>>>>
>>>>
>>>> I have plotted the residuals of my model - https://files.me.com/chrismcowen/v586vx
>>>>
>>>> I have been made aware that  that lmer uses the random effects in  
>>>> its  prediction ( Jarrord Hadfield). And this is reflected in the  
>>>> residual plot with the the long lines of equal residuals all  
>>>> belonging  to the same family - i.e 200 - 600 is the orchid  
>>>> family and 650-100 is the grass family.
>>>>
>>>> So is there a work around with a glmm?
>>>>
>>>>
>>>>
>>>> Thanks
>>>>
>>>> Chris
>>>>
>>>>
>>>
>>> If you want to do population-level predictions from a GLMM (i.e.  
>>> setting all random effects to zero), the basic recipe is to (1)  
>>> construct a model (design) matrix for the desired sets of  
>>> predictor variables (if you want to the predict the observed data  
>>> rather than some other set, you can just extract the model matrix  
>>> from the fitted object); (2) multiply it by the vector of fixed  
>>> effect coefficients; (3) transform it back to the scale of the  
>>> observations with the inverse link function.  There's an example  
>>> on p. 6 of http://glmm.wdfiles.com/local--files/examples/ 
>>> Owls.pdf ...
>>>
>>> _______________________________________________
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>>>
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>>>
>>
>>
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>>
>>
>
>
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>
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