Analysis of Families of Curves
نویسندگان
چکیده
A systematic approach is presented for fitting empirical expressions to da ta depending on two variables. The problem can also be described as the simultaneous fitting of a family of curves depending on a parameter . The proposed method reduces a surface fitting problem to t h a t of fitting a few functions of one variable each. First , t he surface is expressed in terms of these one-variable functions, and using an extension of two-way analysis of variance, the accuracy of this fit is assessed wi thout having to determine, at this point, the na ture of the one-variable functions. Then, t he one-variable functions are fitted by customary curve-fitting procedures. For i l lustration, t he method is applied to two sets of experimental da ta .
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