[R] how to test the random factor effect in lme

[David Winsemius]

On Feb 14, 2012, at 5:36 PM, Xiang Gao wrote:

> Hi
>
> I am working on a Nested one-way ANOVA. I don't know how to implement
> R code to test the significance of the random factor

Have you read what the unofficial Mixed Model FAQ says about testing  
for significance on random effects?

http://glmm.wikidot.com/faq

>
> My R code so far can only test the fixed factor :

That may be the intent of the authors. They may want to make it  
sufficiently  difficult so that an adequate barrier prevents the  
unwary from taking some "easy way out". You probably need to describe  
your study (assuming this is not an assigned homework exercise) in  
sufficient scientific detail and do so on the mixed-models mailing list.

-- 
David.

>
> anova(lme(PCB~Area,random=~1|Sites, data = PCBdata))
>            numDF denDF   F-value p-value
> (Intercept)     1    12 1841.7845  <.0001
> Area              1     4    4.9846  0.0894
>
>
> Here is my data and my hand calculation.
>
>> PCBdata
>   Area Sites PCB
> 1     A     1  18
> 2     A     1  16
> 3     A     1  16
> 4     A     2  19
> 5     A     2  20
> 6     A     2  19
> 7     A     3  18
> 8     A     3  18
> 9     A     3  20
> 10    B     4  21
> 11    B     4  20
> 12    B     4  18
> 13    B     5  19
> 14    B     5  20
> 15    B     5  21
> 16    B     6  19
> 17    B     6  23
> 18    B     6  21
>
> By hand calculation, the result should be:
> Source	SS	DF	MS
> Areas      18.00  1    18.00
> Sites        14.44  4    3.61
> Error        20.67  12  1.72
> Total	        53.11   17   ---
>
>
> MSareas/MSsites = 4.99 --- matching the R output
> MSsites/MSE = 2.10
> Conclusion is that Neither of Areas nor Sites make differences.
>
>
> My R code so far can only test the fixed effect :
>
> anova(lme(PCB~Area,random=~1|Sites, data = PCBdata))
>            numDF denDF   F-value p-value
> (Intercept)     1    12 1841.7845  <.0001
> Area              1     4    4.9846  0.0894
>
>
>
> -- 
> Xiang Gao, Ph.D.
> Department of Biology
> University of North Texas
>
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David Winsemius, MD
West Hartford, CT