By Peter Englezos
A reference and textbook delivering readers with an important optimization tools for parameter estimation in chemical engineering. The CD-ROM positive aspects Fortran computing device courses for fixing equation structures and different issues of Microsoft Excel and Sigma Plot. includes over 900 equations in all.
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Extra info for Applied Parameter Estimation for Chemical Engineers
Unfortunately, the majority of process models encountered in chemical engineering practice are nonlinear. Linear regression has received considerable attention due to its significance as a tool in a variety of disciplines. , Draper and Smith, 1998; Freund and Minton, 1979; Hocking, 1996; Montgomery and Peck, 1992; Seber, 1977). The majority of these books has been written by statisticians. The objectives in this chapter are two. The first one is to briefly review the essentials of linear regression and to present them in a form that is consistent with our notation and approach followed in subsequent chapters addressing nonlinear regression problems.
29) where o2 is an unknown scaling factor. 30) The above choice has the computational disadvantage that the weights are a function of the unknown parameters. 20) over k and the unknown variances. 32) ) In addition, the corresponding estimate of the unknown covariance is E = — It is worthwhile noting that Box and Draper (1965) arrived at the same determinant criterion following a Bayesian argument and assuming that L is unknown and that the prior distribution of the parameters is noninformative.
We will demonstrate such problems can be solved by using Microsoft Excel™ and SmmaPlot™. 1 Procedure for Using Microsoft Excel™ for Windows Step 1. First the data are entered in columns. The single dependent variable is designated by y whereas the independent ones by x,, x2, x3 etc. Copyright © 2001 by Taylor & Francis Group, LLC 36 Step 2. g. in the equation y=k 1 Xi+k 2 x 2 +k 3 you are looking for k b k2 and k3. Therefore p would be equal to 3. +m p . 1 Xp_]+b. Step 3. Now that you have selected an area [5 x p] on the spreadsheet, go to the fx (Paste Function button) and click.