PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem9
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	356.28	178.14	  1.8634	 0.1602	  9958
Tr	 1	12.955	12.955	 0.13552	 0.8348	  9921
PexTr	 2	 81.31	40.655	 0.42526	 0.6076	  9942
Res	51	4875.6	95.599	        	       	      
Total	56	5332.4	      	        	       	      

Details of the expected mean squares (EMS) for the model
Source	EMS
Pe	1*V(Res) + 11.786*S(Pe)
Tr	1*V(Res) + 16.364*S(Tr)
PexTr	1*V(Res) + 5.8929*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	    51
Tr	1*Tr	1*Res	     1	    51
PexTr	1*PexTr	1*Res	     2	    51

Estimates of components of variation
Source	Estimate	Sq.root
S(Pe)	  7.0033	 2.6464
S(Tr)	 -5.0505	-2.2473
S(PexTr)	 -9.3239	-3.0535
V(Res)	  95.599	 9.7775