V. Jehlicka et V. Mach, DETERMINATION OF ESTIMATES OF PARAMETERS OF CALIBRATION REGRESSION STRAIGHT-LINE WITH OBJECTIVE ELIMINATION OF REMOTE MEASUREMENTS, Collection of Czechoslovak Chemical Communications, 60(12), 1995, pp. 2064-2073
An alternative algorithm of calculation of estimates of parameters of
calibration regression straight line with elimination of remote measur
ements has been elaborated for a function f(x) composed of linear-nonl
inear or nonlinear-linear parts or, as the case may be, of nonlinear-l
inear-nonlinear parts. This algorithm makes it possible to objectively
eliminate remote measurements and determine the interval (x(1);x(2))
in which is located the linear part of dependence of output measured q
uantity y = f(x) with normal distribution N(f(x), sigma(2)) on the inp
ut, i.e., independent variable x. For the procedure used for testing o
f remoteness of experimental points, a relation has been derived for c
alculation of the critical value of deviation of the point tested. The
algorithm is finished by the calculation of parameters of the corresp
onding regression straight line and other statistical characteristics.
On the basis of the algorithm suggested, a program has been assembled
whose reliability was verified on a series of both model and practica
l examples.