K. Kupka et M. Meloun, Data analysis in the chemical laboratory II. The end-point estimation in instrumental titrations by nonlinear regression, ANALYT CHIM, 429(1), 2001, pp. 171-183
The regression model for a two-segments titration curve with a break-point
at the end-point is analyzed. Both linear and nonlinear shapes of the titra
tion curve segments are treated. An effective and simple method discriminat
es which of two segments is linear or curved. The point and interval estima
tes of the end-point are calculated by the nonlinear least squares of curve
fitting technique. The nonlinear regression method is applied to any, line
ar or nonlinear, type of a two-segments titration curve without excluding a
ny titration points to reach the most probable point estimate of the end-po
int together with its 100(1 - alpha)% confidence interval. An accuracy and
precision of the proposed end-point estimation is examined on several instr
umental titrations. A sample program in S-plus(TM) is provided. (C) 2001 El
sevier Science B.V. All rights reserved.