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Regression Equation

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<strong>Regression</strong> <strong>Equation</strong><br />

DRAFT<br />

( Y ) = (1- π)(<br />

μ)<br />

E i<br />

γ0<br />

+ γ1z1<br />

+ γ2z2...<br />

γmzm<br />

e<br />

π = γ0<br />

+ γ1z1<br />

+ γ2z2...<br />

γmzm<br />

1+ e<br />

Probability Portion<br />

μ<br />

=<br />

e<br />

β<br />

0<br />

+ β1x1<br />

+ β2x2<br />

... β n x n<br />

Count Portion<br />

E(Y i ) = expected mean value of cpue or richness<br />

π = probability of zero from logistic processes<br />

μ= mean value from negative binomial count processes<br />

γ= coefficients of logistic equation<br />

β= coefficients of negative binomial equation<br />

z= covariates from logistic equation<br />

x= covariates from negative binomial equation<br />

FOR DISCUSSION PURPOSES ONLY - NOT TO BE CITED

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