[R] Highly significant intercept and large standard error

Sam Sam_Smith at me.com
Wed Oct 6 14:03:14 CEST 2010


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 
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[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    
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[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 
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[518] Mid     Mid     Mid     Mid     Old  Mid     Old  Mid     Old  Mid     Mid    
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[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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