Using 1-D Fit Coefficient Forcing
Coefficient forcing allows you to specify the
values of one or more fit coefficients inthe
1-D Fit Package. Forced coefficients use the assigned
value and are not determined by the fit. Use this feature when you
want to completely remove a coefficient from the equation being fit
or you know the value and do not want it estimated. The examples
below shows the result of coefficient forcing when fitting a
parabola having up to 3 terms.
The picture below shows the original plot with a
3-term fit without sigma clipping. The checkbox is un-checked, so coefficient
forcing is disabled.
The next figure shows the same data being fit with
Coef[1] = 0.0. In other words, the
slope term in the equation was forced to a value of 0. The value
(0.0) to force was entered on the
Set Coefs page, which is opened from the button of the toolbar.
The next 2 pictures show the same fit using
Coef[1] = 0.0, but with sigma clipping
disabled and enabled (both plots are re-scaled like the others
shown further below). The sigma clipped points are colored blue.
For these data, the optimal fit requires a non-zero slope, and the
standard deviation of the fit increases from 20 to 26 when
Coef[1] is forced to 0.
The next picture shows the fit after forcing
Coef[1] = 1.0. This sets the slope to
1.0 and allows the other two terms of the parabola to be fit.
Forcing the slope to 1.0 results in the parabola having to turn
downward.
The next figure shows the fit using Coef[2] = 0.25, that is, with the curvature term
set to 1.0 and the zero-point and slope terms being fit. The result
is so far from a good fit that the fit standard deviation (sigma)
is very large and sigma clipping does not reject any points.
Related Topics
1-D Fit Package
1-D Fit Toolbar
1-D Fit Properties
Mira Pro x64 8.67 User's Guide, Copyright Ⓒ 2023 Mirametrics, Inc.
All Rights Reserved.
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