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

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