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GPS-X Technical Reference

GPS-X Technical Reference

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RelGrad k = relative gradient for parameter k<br />

repdof =<br />

weighted replication sum of squares degrees of freedom (subscript used if<br />

referring to a response variable)<br />

= the variance of response j in experiment i<br />

2<br />

i, j<br />

2<br />

s<br />

i, j = the estimate of the variance,<br />

ˆ<br />

<br />

2<br />

<br />

i, j<br />

se( k<br />

) = standard error of parameter <br />

k at the solution<br />

SS =<br />

weighted residual sum of squares (subscript used if referring to a response<br />

variable)<br />

SSlof =<br />

weighted lack of fit sum of squares (subscript used if referring to a response<br />

variable)<br />

SSmean = total weighted sum of squares corrected for the mean<br />

SSreg =<br />

weighted regression sum of squares (subscript used if referring to a response<br />

variable)<br />

SSrep =<br />

weighted replication sum of squares (subscript used if referring to a response<br />

variable)<br />

t(a,b) = student's t statistic with a degrees of freedom and a significance level of b<br />

= number of time lags used in the Portmanteau statistic<br />

= the vector of parameters to be estimated in the process model<br />

ˆ = vector of estimated parameters at the solution<br />

V<br />

variance-covariance matrix at the solution<br />

ˆ<br />

V = the variance-covariance matrix for the ith experiment<br />

i<br />

V<br />

i = the determinant of V<br />

i<br />

z<br />

i , j = the measured value of response j in experiment i<br />

mean of the replicate measurements corresponding to the vth value of the<br />

z<br />

=<br />

independent variable<br />

z<br />

uth replicate measurement corresponding to the vth value of the independent<br />

u , v =<br />

variable<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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