PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Ophiu Slope
Data type: Similarity
Selection: All
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	189.79	94.893	 0.59284	 0.5618	  9952
Tr	 1	173.66	173.66	  1.0849	 0.3048	  9918
PexTr	 2	180.55	90.275	 0.56398	 0.5768	  9952
Res	30	  4802	160.07	        	       	      
Total	35	5327.2	      	        	       	      

Details of the expected mean squares (EMS) for the model
Source	EMS
Pe	1*V(Res) + 9*S(Pe)
Tr	1*V(Res) + 13.5*S(Tr)
PexTr	1*V(Res) + 4.5*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	    30
Tr	1*Tr	1*Res	     1	    30
PexTr	1*PexTr	1*Res	     2	    30

Estimates of components of variation
Source	Estimate	Sq.root
S(Pe)	 -7.2414	 -2.691
S(Tr)	  1.0069	 1.0034
S(PexTr)	 -15.509	-3.9382
V(Res)	  160.07	 12.652