title: On the confidence interval of the equivalence point in linear titrations.
abstract: As the point of intersection in linear-branch titration curves results from two optimized linear regressions, calculated by least-squares from n(1) and n(2) pairs of values of the signal y as a function of the added volume of titrant upsilon, the value of the equivalence volume V(e) has the character of an estimated average V (e) hence a confidence interval is associated with it. If the point of intersection V (e) belongs concomitantly to both regressions then the same value of y (e) should correspond to the two extreme values V'(e) and V'(e) of the confidence interval as to V (e) itself. Consequently, the two segments of the confidence interval are obtained by averaging each of the two unequal segments of the separate confidence intervals. Alternatively, considering that multiple estimates of V (e) can be obtained, the confidence interval can be calculated from the normally distributed random variables Deltaa' and Deltab' of the two linear regressions.
authors.affiliation: Department of Chemical Technology, University of Cluj-Napoca, Cluj-Napoca, Romania.
authors.forename: C
authors.initials: C
authors.lastname: Liteanu
authors.forename: I
authors.initials: I
authors.lastname: Rîcă
authors.forename: V
authors.initials: V
authors.lastname: Liteanu