PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem8
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	159.88	 79.94	  1.9859	 0.1397	  9950
Tr	 1	700.89	700.89	  17.412	 0.0003	  9923
PexTr	 2	 75.52	 37.76	 0.93808	 0.3948	  9953
Res	51	2052.9	40.253	        	       	      
Total	56	  3340	      	        	       	      

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)	  3.3674	   1.835
S(Tr)	  40.372	  6.3539
S(PexTr)	-0.42298	-0.65037
V(Res)	  40.253	  6.3445