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Code Listing by Nathaniel Brahms

Code 1-6 of 6   

fitChiSquare is a generalized chi-square fitting routine for any model function when data measurement errors are known; it returns the model parameters and their uncertainties at the delta chi-square = 1 boundary (68% confidence interval). It also returns the chi-square and degrees of freedom (dof) of the fit. The goodness-of-fit may be estimated by comparing chi-square/dof to 1 (<1 is a good fit; >>1 indicates a poor fit)....

This function performs 2-dimensional interpolation similar to MATLAB's built-in function interp2 with a considerable speed advantage.

qinterp2 may only be used with evenly-spaced, monotonically increasing X and Y library arrays. In...

This function performs interpolation faster than MATLAB's "interp1" function. In the limit of small library and search arrays, it is ~5x faster. In the limit of large library arrays, qinterp1 has a flat scaling, while interp1 has a...

Often one desires to write a function that takes a large number of optional arguments. One way to do this is to allow for an arbitrary number of option name-value pairs in the function argument:

function r = f(a,b,c,name1,value1,...)

FitChiTool provides an interface similar to the Curve Fitting Toolbox to the fitChiSquare function.

This allows you to perform fits using chi-square when measurement errors are known on linear or nonlinear models. It allows allows you...

When interpolating a multivalued function (more than one y for each x), interp1 produces, at best, an error (if there are identical x data), and at worst, garbage (see the attached image). This function performs meaningful interpolation of a...