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Direc­tory tex-archive/info/maad

                                                       505 W GRAND BLVD 206
                                                       CORONA CA 91720 2121
                                                           19 DECEMBER 1992

Dear reader:

One problem which recurs again and again in the engineering environment is
centered around the so-called least-squares curve fit.  The coefficient of
linear correlation, r, is between -1 and 1.  When r is close to +1 or -1, 
good correlation is indicated; a value of r close to 0 means little or no
correlation.  Some software outputs a more quantitative measure of goodness
of fit.  Two factors are used: (1) the number of points, N, and (2) the
value of the correlation coefficient, r.  The attached documentation and
computer programs explain this quantative measure of fit and provide work-
ing models.

The graphical output of many commercial statistical packages does not in-
clude the construction of error bars.  This shortfall is closely tied to
the problem of goodness of fit.  If the line of best fit misses a large
proportion of the error bars or if it misses one or more significantly,
then there is little or no correlation.  This is true despite a value of r
different from zero---if the number of data points, N, is small.  The doc-
ument provides a vehicle for the correct graphical display of statistical
data.

It is hoped that the user of this document and the computer programs will 
be spared from the need to constantly "re-invent the wheel."


Harry A. Watson, Jr.
(909) 737-3958

Files

Name Size Date Notes
maad.tex 280617 1994-09-02 02:00
pgm1.bas 1131 1994-09-02 02:00
pgm1.c 1848 1994-09-02 02:00
pgm2.bas 1177 1994-09-02 02:00
pgm2.c 1824 1994-09-02 02:00
pgm3.bas 1478 1994-09-02 02:00
pgm3.c 4725 1994-09-02 02:00
pgm4.bas 860 1994-09-02 02:00
pgm4.c 2895 1994-09-02 02:00
pgm5.bas 2039 1994-09-02 02:00
pgm6.bas 471 1994-09-02 02:00
pgm7.bas 517 1994-09-02 02:00
readme.txt 1578 1994-09-02 02:00

maad – Math­e­mat­i­cal Ap­prox­i­ma­tions and Doc­u­men­ta­tion

A doc­u­ment de­scrib­ing the pa­ram­e­ter­i­sa­tion of least-squares curve fit­ting, and show­ing how (us­ing PiCTeX) to dis­play er­ror bars.

Pack­age De­tailsmaad
Ver­sion 1994-09-02
Li­censePublic Do­main Soft­ware
Main­tainerHarry A. Wat­son, Jr
Topics ‘stand-alone’ doc­u­men­ta­tion
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