PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem13
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	2853.1	1426.5	  4.4409	 0.0148	  9946
Tr	 1	949.92	949.92	  2.9572	 0.0874	  9897
PexTr	 2	197.07	98.535	 0.30674	 0.7387	  9955
Res	56	 17989	321.23	        	       	      
Total	61	 23121	      	        	       	      

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)	  72.958	 8.5415
S(Tr)	  27.668	   5.26
S(PexTr)	 -29.398	 -5.422
V(Res)	  321.23	 17.923