Ronaldo ,
It looks as though you have specified you model incorrectly.
In the Rats example ,the Treatment is the only fixed effect,Rat and Liver
are random effects
In aov testing for sig of 'Means' of Random Effects is pointless and that is
why 'p' values are not given.Further more the interaction between a Random
Effect and a Fixed Effect is also a Random Effect. The 'aov' with error
structure terms output reflects this by only giving 'p' values to
Fixed Effects and their interactions.
Note That the Fixed Effects of Block, Variety and their interaction
Block:Variety are given "p" values while the Field'Random Effects have not.
> model <- aov(Glycogen~Treatment+Error(Rat/Liver))
> summary(model)
Error: Rat
Df Sum Sq Mean Sq F value Pr(>F) #Rat is random effect
Residuals 1 413.44 413.44
Error: Rat:Liver #Rat:Liver is Random
effect
Df Sum Sq Mean Sq F value Pr(>F)
Residuals 4 164.444 41.111
Error: Within
Df Sum Sq Mean Sq F value Pr(>F)
Treatment 2 1557.56 778.78 18.251 8.437e-06 *** #Fixed effect
Residuals 28 1194.78 42.67
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
I hope that this is of help.
John
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