PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem20
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	219.09	109.55	  0.3562	  0.713	  9966
Tr	 1	630.93	630.93	  2.0515	 0.1572	  9905
PexTr	 2	2024.8	1012.4	  3.2919	 0.0334	  9949
Res	51	 15685	307.55	        	       	      
Total	56	 18477	      	        	       	      

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)	   -16.8	-4.0988
S(Tr)	  19.763	 4.4455
S(PexTr)	  119.62	 10.937
V(Res)	  307.55	 17.537