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The benthic ecology and community structure in Lyttelton Harbour ...

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60.<br />

mud <strong>and</strong> mudd~<br />

regions <strong>and</strong> basically may be considererl<br />

to <strong>in</strong>clude the cont<strong>in</strong>uum that was suggested by the<br />

results of FaCJer~<br />

<strong>The</strong> fourth group,<br />

..<br />

119 7 falls <strong>in</strong>to the s<strong>and</strong>y<br />

Purau Bay mouth_<br />

recurrent groups analysis.<br />

123, i25, j21? i22, j19, <strong>and</strong>.<br />

on 1D the vic<strong>in</strong>ity of<br />

<strong>The</strong> generalized Mahalanobis D-square was<br />

23525.7~ Dixon (1964) states that th value may be used<br />

as chi-square under assumption of normality with m(g-l)<br />

degrees of freedom.<br />

In this content m represents the<br />

number of variables <strong>and</strong> 9 the number of groups formed<br />

from the variableso<br />

value with 120 degrees of freedom ~s<br />

In the present study th9 chi-square<br />

very highly<br />

significant. This may be <strong>in</strong>terpreted as <strong>in</strong>dicat<strong>in</strong>g<br />

that there very little probabi ty that the groups ilS<br />

<strong>in</strong>dicated could have been formed by chance <strong>and</strong> that<br />

the separation between them is complete <strong>and</strong> very large.<br />

Discrim<strong>in</strong>ant analys<br />

was used to formulate<br />

~ groups 0 When each of the discrim<strong>in</strong>ant equations J<br />

(se~<br />

Table 3), evolved <strong>in</strong> the computation was applied to<br />

coefficients d~~ived by consideration all of the<br />

available parameters each site a, set of discrim<strong>in</strong>C1nt<br />

values was producede <strong>The</strong>re ar~ four sets of<br />

d<br />

crim<strong>in</strong>ant values, that is, four values for each site.<br />

<strong>The</strong> separation of the groups may be checked<br />

visually by graph<strong>in</strong>g<br />

aga<strong>in</strong>st one anothero<br />

discrim<strong>in</strong>ant values as funct16ns<br />

Fig 18. shows the separation<br />

achieved by graph<strong>in</strong>g functions 1 <strong>and</strong> 2 <strong>and</strong> Fig 19<br />

shows the result of the graph<strong>in</strong>g of functions 3 <strong>and</strong> 4.<br />

At first glance three groups st<strong>and</strong> out as clearly<br />

differentiated with the fourth rather <strong>in</strong>dis<br />

nctly<br />

separated. Consider<strong>in</strong>g both graphs there is clearly a

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