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Relating the Error Parameter to an Error in the Fitted Parameters

To investigate how a small error in tex2html_wrap_inline12301 or tex2html_wrap_inline12303 will affect the error parameter e, the values of the curve at each of the 1000 times calculated above was compared to the value calculated when either tex2html_wrap_inline12301 or tex2html_wrap_inline12303 was varied by a small amount. The sum of the square of these differences, e, was calculated and is shown plotted against the percentage variation in either tex2html_wrap_inline12301 or tex2html_wrap_inline12303 in figure 7-16.

  figure6120

Thus the difference between the average value of e found from curve fitting, 85, and the expected value of 60, due to the discrete nature of the grid, corresponds to an error in tex2html_wrap_inline12301 of about 0.3% or an error in tex2html_wrap_inline12303 of about 4%.



James Buick
Tue Mar 17 17:29:36 GMT 1998