PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem25
Data type: Similarity
Selection: All
Transform: Fourth root
Resemblance: S17 Bray Curtis similarity (+d)

Sums of squares type: Type III (partial)
Fixed effects sum to zero for mixed terms
Permutation method: Permutation of residuals under a reduced model
Number of permutations: 9999

Factors
Name	Abbrev.	Type	Levels
Period	Pe	Fixed	     3
Treatment	Tr	Fixed	     2

PERMANOVA table of results
	  	      	      	        	       	Unique
Source	df	    SS	    MS	Pseudo-F	P(perm)	 perms
Pe	 2	  11.1	5.5501	 0.14923	 0.8336	  9932
Tr	 1	22.088	22.088	 0.59389	 0.6314	  9913
PexTr	 2	  11.1	5.5501	 0.14923	 0.8275	  9912
Res	56	2082.8	37.193	        	       	      
Total	61	2150.5	      	        	       	      

Details of the expected mean squares (EMS) for the model
Source	EMS
Pe	1*V(Res) + 15.15*S(Pe)
Tr	1*V(Res) + 22.723*S(Tr)
PexTr	1*V(Res) + 7.575*S(PexTr)
Res	1*V(Res)

Construction of Pseudo-F ratio(s) from mean squares
Source	Numerator	Denominator	Num.df	Den.df
Pe	1*Pe	1*Res	     2	    56
Tr	1*Tr	1*Res	     1	    56
PexTr	1*PexTr	1*Res	     2	    56

Estimates of components of variation
Source	Estimate	Sq.root
S(Pe)	 -2.0886	-1.4452
S(Tr)	-0.66472	-0.8153
S(PexTr)	 -4.1772	-2.0438
V(Res)	  37.193	 6.0986