End-point evaluation in instrumental titrimetry—II Confidence intervals in extrapolation of linear titration curves

Jandera, Pavel; Kolda, Stanislav; Kotrlý, Stanislav

doi:10.1016/0039-9140(70)80190-4

Cited by 12 publications

(6 citation statements)

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“…Methods for end-point location on extensivelycurved plots have been reviewed and an end-point evaluation method has been proposed (315). Accounts of the evaluation of random titration error (128), the statistical characterization of titration curves (178), and the elimination of dubious values during the calculation of such curves (177) have appeared. A logarithmic form of equation has been derived in a study of the differentiation of very simple mononuclear complexes from polynuclear ones (103).…”

mentioning

confidence: 99%

Amperometric titrations

Stock¹

1972

Anal. Chem.

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The period covered by this survey is from the previous review (271) through October, 1971. Unless otherwise specified, potentials are with respect to the saturated calomel electrode (SCE).Reviews of electroanalytical techniques (113) and of coulometric analysis (198) include amperometric titrimetry.Amperometric methods have been discussed with respect to industrial analyses (47, 114) and to complexometric

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mentioning

confidence: 99%

Amperometric titrations

Stock¹

1972

Anal. Chem.

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“…Before proceeding, we note the superficial similarity of the foregoing method to the methods of Jandera et al (13) and Liteanu et al (14). As do we, Jandera takes as limits the extremes of the area of intersection.…”

Section: Introductionmentioning

confidence: 77%

“…13, JULY 1, 1991 e 1273 is not exact. They obtain (1) var + X2 var + 2X cov ( , ) var X = ( )2 (13) The standard error estimate of X is then sx = Vvar X, and the confidence limits at the (l-) level are approximately X =*= ta/tfx (14) Application of Fieller's Theorem. Fieller's theorem has been applied to calculating confidence limits of X for lines with uniform (6,7,9,14) and nonuniform (1) variance.…”

Section: Estimation Of Parameters Values Of the Populationmentioning

confidence: 99%

“…Wallace (12) presents a selective review of the Fieller-Creasy problem. Jandera (13) does not cite Fieller but rather considers as limits the extremes of the area in common to the intersecting confidence bands or diverging linear approximations thereof. In addition to reviewing earlier methods, Liteanu (14) calculates limits as weighted averages of the abscissas of the confidence hyperbolas at the ordinate of intersection.…”

Section: Introductionmentioning

confidence: 99%

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Confidence limits for the abscissa of intersection of two least-squares lines such as linear segmented titration curves

Carter¹,

Scott²,

Salmon³

et al. 1991

Anal. Chem.

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“…Several procedures dealing with hyperbolic confidence bands approximate them by straight lines and give symmetric confidence intervals for estimated x I [58,61,[70][71][72]. Evidently, the best confidence interval would be obtained by the projection on the abscissa of the surface between the four hyperbolic arcs [73].…”

Section: Advances In Titration Techniquesmentioning

confidence: 99%

Intersecting Straight Lines: Titrimetric Applications

Martín¹,

Martin²,

Asuero³

2017

Advances in Titration Techniques

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Plotting two straight line graphs from the experimental data and determining the point of their intersection solve a number of problems in analytical chemistry (i.e., potentiometric and conductometric titrations, the composition of metal-chelate complexes and binding interactions as ligand-protein). The relation between conductometric titration and the volume of titrant added leads to segmented linear titration curves, the endpoint being defined by the intersection of the two straight line segments. The estimation of the statistical uncertainty of the end point of intersecting straight lines is a topic scarcely treated in detail in a textbook or specialized analytical monographs. For this reason, a detailed treatment with that purpose in mind is addressed in this book chapter. The theoretical basis of a variety of methods such as first-order propagation of variance (random error propagation law), Fieller's theorem and two approaches based on intersecting confidence bands are explained in detail. Several experimental systems described in the literature are the subject of study, with the aim of gaining knowledge and experience in the application of the possible methods of uncertainty estimation. Finally, the developed theory has been applied to the conductivity measurements in triplicate in the titration of a mixture of hydrochloric acid and acetic acid with potassium hydroxide.

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End-point evaluation in instrumental titrimetry—II Confidence intervals in extrapolation of linear titration curves

Cited by 12 publications

References 1 publication

Amperometric titrations

Amperometric titrations

Confidence limits for the abscissa of intersection of two least-squares lines such as linear segmented titration curves

Intersecting Straight Lines: Titrimetric Applications

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