PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem5
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	163.68	81.838	  0.6988	 0.4351	  9949
Tr	 1	110.22	110.22	 0.94119	 0.3058	  9930
PexTr	 2	58.963	29.482	 0.25174	  0.763	  9945
Res	51	5972.7	117.11	        	       	      
Total	56	6506.5	      	        	       	      

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)	  -2.993	   -1.73
S(Tr)	 -0.4209	-0.64877
S(PexTr)	 -14.871	 -3.8562
V(Res)	  117.11	  10.822