Confidence Intervals for Parameter Estimates

For linear regressions, the standard deviations for a parameter estimate Pj are given by 

Remember 19.4 The model identification problem is intricately linked to the error identification problem. Analysis of data requires analysis of the error structure of the measurement. 

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Numerous applications of this theory have been made in calculating confidence intervals for parameter estimates in nonlinear kinetic models, such as typified in Table III (P2). The use of confidence regions is typified in Fig. 13 (M7) for the alcohol dehydration model... 

In Section 6.1, the concept of confidence intervals of parameter estimates was presented. In this section, we consider a general approach to the estimation of confidence intervals for parameter estimates and response surfaces based on models that have been shown to be adequate (i.e., the lack of fit is not highly significant, either in a statistical or in a practical sense). 

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