Dear list,

I am running a lmer model and have a question.

When ever i put a factor (Mag) in my model it lowers the AIC of the model, 
however the intercept is the only value with  significant p-value. I have 
looked at the coefficients and the standard error and something jumps out at me.


                                Estimate Std. Error z value Pr(>|z|)
(Intercept)            -1.35778    0.30917  -4.392 1.12e-05 ***
MagNew           -15.76939 1255.06372  -0.013    0.990
MagOld            0.14250    0.25246   0.564    0.572   

MagNew relates to a categorical factor (Mag) that has 3 levels of which New is 
one and Old is another ( The third is not displayed).

It appears MagNew has a huge Std.Error, what could cause this? 

When i do str(Mag) you will see that New is relatively rare (29 out of 871) i 
presume it is this that is raising the Std.Error value. however i am not sure 
why this is causing the  intercept to have a highly significant p value . 
Furthermore how do i interpret it, I am using AIC values as my basis of model 
selection and i am unsure if this really is the most likely model or not?

Thanks

Sam

[1] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[12] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[23] Old  Old  Old  Mid     Old  Old  Old  Mid     Old  Old  Old 
[34] Old  Old  Old  Old  Mid     Old  Old  Old  Old  Old  Old 
[45] Mid     Mid     Mid     Old  Old  Old  Mid     Mid     Mid     Mid     Old 
[56] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[67] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[78] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[89] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[100] Old  Old  Old  Old  Old  Old  Old  Old  Old  New New
[111] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Mid    
[122] Mid     Mid     Mid     Mid     Old  Old  Old  Old  Mid     Mid     Mid   
 
[133] Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     
Mid     Mid    
[144] Mid     Mid     Mid     Mid     Old  Old  Old  Mid     Mid     Mid     
Mid    
[155] Mid     Mid     Mid     Mid     Mid     Mid     Mid     Old  Old  Old  
Old 
[166] Old  Old  Old  Mid     Mid     Mid     Mid     Mid     Mid     Mid     
Mid    
[177] Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     
Old  Mid    
[188] Mid     Mid     Mid     Mid     Old  Mid     Mid     Mid     Mid     Mid  
   Mid    
[199] Mid     Mid     Old  Old  Old  Old  Old  Old  Old  Old  Old 
[210] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[221] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[232] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[243] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[254] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[265] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[276] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[287] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[298] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[309] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[320] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[331] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Mid    
[342] Old  Old  Old  Old  Old  Old  Old  New New New New
[353] New New New New New Old  Old  Old  Old  Old  Old 
[364] Old  New Old  Old  Old  Old  Old  Old  Old  Old  Old 
[375] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[386] Old  Old  Old  Old  Old  Old  Old  Old  Mid     Mid     Mid    
[397] Mid     Mid     Mid     Old  Old  Mid     Old  Old  Mid     Mid     Mid   
 
[408] Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     
Mid     Mid    
[419] Old  Old  Old  Old  Mid     Mid     Mid     Mid     Mid     Old  Mid    
[430] Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     
Mid     Mid    
[441] Mid     Mid     Mid     Mid     Mid     Mid     Old  Old  Old  Old  Old 
[452] Old  Old  Old  Old  Old  Old  Old  Mid     Mid     Old  Old 
[463] Mid     Mid     Old  Old  Mid     Mid     Mid     Mid     Mid     Old  
Mid    
[474] Mid     Mid     Old  Mid     Old  Old  Old  Old  Old  Old  Old 
[485] Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     Mid     
Mid     Old 
[496] Old  Old  Old  Old  Old  Old  Mid     Old  Mid     Old  Old 
[507] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[518] Mid     Mid     Mid     Mid     Old  Mid     Old  Mid     Old  Mid     
Mid    
[529] Old  Old  Mid     Mid     Mid     Mid     Mid     Mid     Old  Mid     
Mid    
[540] Mid     Mid     Mid     Mid     Mid     Mid     Old  Old  Old  Old  Mid   
 
[551] Mid     Mid     Old  Old  Mid     Mid     Old  Mid     Old  Old  Old 
[562] Old  Mid     Old  Old  Old  Mid     Old  Old  Old  Old  Mid    
[573] Mid     Mid     Old  Old  Mid     Mid     Mid     Mid     Old  Old  Old 
[584] Mid     Old  Old  Old  Old  Old  Old  Mid     Mid     Mid     Old 
[595] Mid     Mid     Mid     Old  Old  New Mid     Mid     Old  Mid     Mid    
[606] Mid     Old  Mid     Old  Old  Mid     Mid     Mid     Mid     Mid     
Old 
[617] Mid     Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[628] Old  Old  Mid     Old  Old  Old  Old  Old  Old  Old  Old 
[639] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  New
[650] Old  Mid     Old  Old  Old  Old  Old  Old  Old  Old  Old 
[661] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[672] Old  Old  New Old  Old  Old  Old  Old  Old  Old  Old 
[683] New Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[694] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[705] Old  Old  Old  New Old  Old  New Old  Old  Old  Old 
[716] New New New New New Old  Old  Old  New Old  Old 
[727] Old  Old  Old  Old  Old  Old  Mid     Old  Old  Old  New
[738] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[749] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[760] New Old  Old  Old  Old  Old  Old  Old  Old  Old  New
[771] Old  Old  Old  Old  Old  Old  Mid     Old  Old  New Old 
[782] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[793] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[804] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[815] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[826] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[837] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[848] Old  Old  Old  Old  Old  Old  Old  Old  Old  Old  Old 
[859] Old  Old  Old  Old  Old  Old  Mid     Mid     Old  Old  Old 
[870] Old  Old 
Levels: Mid New Old

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