PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem19
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	241.01	120.51	  0.8529	 0.4318	  9961
Tr	 1	2.5149	2.5149	 1.78E-2	 0.8949	  9863
PexTr	 2	785.44	392.72	  2.7795	 0.0792	  9955
Res	56	7912.2	141.29	        	       	      
Total	61	8789.8	      	        	       	      

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)	 -1.3718	-1.1713
S(Tr)	 -6.1073	-2.4713
S(PexTr)	  33.192	 5.7612
V(Res)	  141.29	 11.887