






Thanks Ben and David for your help!
I have done permutation testing and the results I got were actually similar compared to the traditional ANOVA (see below).How should I phrase the result of this permutation test in an article? Would you mind making a suggestion?
Thanks and best regards,Marianne
#####################################################################Traditional aov() ANOVA: 


Error: Subject
          Df Sum Sq Mean Sq F value Pr(>F)
Group      1  17784   17784   0.972  0.337
Residuals 18 329459   18303               


Error: Within
              Df Sum Sq Mean Sq F value Pr(>F)  
Session        1    831     831   0.408 0.5311  
Group:Session  1  10530   10530   5.166 0.0355 *
Residuals     18  36693    2038                 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 




Permutation aovp() ANOVA: 
[1] "Settings:  unique SS "


Error: Subject
Component 1 :
          Df R Sum Sq R Mean Sq Iter Pr(Prob)
Group      1    17784     17784  403    0.201
Residuals 18   329459     18303              




Error: Within
Component 1 :
              Df R Sum Sq R Mean Sq Iter Pr(Prob)  
Session        1      831     831.4  158  0.39241  
Group:Session  1    10530   10530.4 3934  0.02491 *
Residuals     18    36693    2038.5                
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 #####################################################################
> Date: Tue, 13 Nov 2012 07:50:05 +1000
> From: David.Duffy@qimr.edu.au
> To: r-sig-mixed-models@r-project.org
> Subject: Re: [R-sig-ME] Non-parametric 2x2 Mixed Factorial ANOVA in R?
> 
> On Tue, 13 Nov 2012, Ben Bolker wrote:
> 
> > * you could try bootstrapping or permutation testing (being careful
> > to respect the grouping structure of the data
> 
> lmPerm package may be useful for this
> 
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> R-sig-mixed-models@r-project.org mailing list
> https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
 		 	   		  

 		 	   		  
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