PERMANOVA
Permutational MANOVA

Resemblance worksheet
Name: Detritus Shelf(2)
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
Period	Pe	Fixed	     3
Treatment	Tr	Fixed	     2

PERMANOVA table of results
	  	      	      	        	       	Unique
Source	df	    SS	    MS	Pseudo-F	P(perm)	 perms
Pe	 2	713.58	356.79	  8.1804	 0.0019	  9947
Tr	 1	198.91	198.91	  4.5606	 0.0418	  9887
PexTr**	 1	67.751	67.751	  1.5534	  0.225	  9921
Res	28	1221.2	43.615	        	       	      
Total	32	2119.1	      	        	       	      

** Term has one or more empty cells

Details of the expected mean squares (EMS) for the model
Source	EMS
Pe	1*V(Res) + 8.8008*S(Pe)
Tr	1*V(Res) + 7.3577*S(Tr)
PexTr	1*V(Res) + 3.6788*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	    28
Tr	1*Tr	1*Res	     1	    28
PexTr	1*PexTr	1*Res	     1	    28

Estimates of components of variation
Source	Estimate	Sq.root
S(Pe)	  35.585	 5.9653
S(Tr)	  21.107	 4.5942
S(PexTr)	  6.5608	 2.5614
V(Res)	  43.615	 6.6042