PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem26
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	1291.7	645.86	   1.9533	 0.1581	  9954
Tr	 1	 29.41	 29.41	8.8946E-2	 0.7704	  9886
PexTr	 2	1334.3	667.14	   2.0177	 0.1397	  9947
Res	51	 16863	330.65	         	       	      
Total	56	 18528	      	         	       	      

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)	  26.745	 5.1716
S(Tr)	 -18.409	-4.2906
S(PexTr)	  57.101	 7.5565
V(Res)	  330.65	 18.184