PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Resem53
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
Treatment	Tr	Fixed	     2
Period	Pe	Fixed	     3

PERMANOVA table of results
	  	      	      	        	       	Unique
Source	df	    SS	    MS	Pseudo-F	P(perm)	 perms
Tr	 1	1727.6	1727.6	  15.133	 0.0009	  9922
Pe	 2	 143.2	  71.6	 0.62716	 0.5564	  9950
TrxPe	 2	122.67	61.335	 0.53725	 0.5903	  9956
Res	30	  3425	114.17	        	       	      
Total	35	5470.7	      	        	       	      

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

Construction of Pseudo-F ratio(s) from mean squares
Source	Numerator	Denominator	Num.df	Den.df
Tr	1*Tr	1*Res	     1	    30
Pe	1*Pe	1*Res	     2	    30
TrxPe	1*TrxPe	1*Res	     2	    30

Estimates of components of variation
Source	Estimate	Sq.root
S(Tr)	  119.52	 10.932
S(Pe)	 -4.7295	-2.1747
S(TrxPe)	  -11.74	-3.4264
V(Res)	  114.17	 10.685