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Original Articles

On the Problem of Calibration

Pages 547-553 | Published online: 09 Apr 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (21)

Betsabé Blas, Heleno Bolfarine & Victor. H. Lachos. (2013) Statistical analysis of controlled calibration model with replicates. Journal of Statistical Computation and Simulation 83:5, pages 941-961.
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Noslen Hernández, Rolando J. Biscay & Isneri Talavera. (2012) A non-Bayesian predictive approach for statistical calibration. Journal of Statistical Computation and Simulation 82:4, pages 529-545.
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G. Andy Chang, G. Jay Kerns, D. J. Lee & Gary L. Stanek. (2009) Calibration Experiments for a Computer Vision Oyster Volume Estimation System. Journal of Statistics Education 17:2.
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Christos P. Kitsos. (2002) THE SIMPLE LINEAR CALIBRATION PROBLEM AS AN OPTIMAL EXPERIMENTAL DESIGN. Communications in Statistics - Theory and Methods 31:7, pages 1167-1177.
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M. A. Ali & M. Y. Ashkar. (2002) THE CALIBRATION PROBLEM REVISITED. Communications in Statistics - Theory and Methods 31:10, pages 1733-1741.
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Edna Schechtman & Cliff Spiegelman. (2002) A Nonlinear Approach to Linear Calibration Intervals. Journal of Quality Technology 34:1, pages 71-79.
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Heleno Bolfarine, Claudia R.O.P. Lima & Monica C. Sandoval. (1997) Linear calibration in functional regression models. Communications in Statistics - Theory and Methods 26:10, pages 2307-2328.
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D.S. Tracy & V.K. Srivastava. (1990) Comparison of some linear calibration estimators. Communications in Statistics - Theory and Methods 19:6, pages 2281-2293.
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FrederickH. Walters & G.T. Rizzuto. (1988) The Calibration Problem in Statistics and Its Application to Chemistry. Analytical Letters 21:11, pages 2069-2076.
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R.D. GRAETZ, R.P. PECH & A. W DAVIS. (1988) The assessment and monitoring of sparsely vegetated rangelands using calibrated Landsat data. International Journal of Remote Sensing 9:7, pages 1201-1222.
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A. Dobrigai, D.A.S. Fraser & R. Gebotys. (1987) Linear calibra and conditional inference. Communications in Statistics - Theory and Methods 16:4, pages 1037-1048.
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J.P. Buonaccorsi. (1986) Design Considerations for Calibration. Technometrics 28:2, pages 149-155.
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Thomas P. Turiel, Gerald J. Hahn & William T. Tucker. (1982) New simulation results for the calibration and inverse median estimation problems. Communications in Statistics - Simulation and Computation 11:6, pages 677-713.
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M.A. Ali & N. Singh. (1981) An alternative estimator in inverse linear regression. Journal of Statistical Computation and Simulation 14:1, pages 1-15.
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T. Lwin. (1981) Discussion. Technometrics 23:4, pages 339-341.
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WilliamG. Hunter & WarrenF. Lamboy. (1981) A Bayesian Analysis of the Linear Calibration Problem. Technometrics 23:4, pages 323-328.
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K. Henschke. (1980) Simultaneous confidence procedures in multivariate calibration problems. Series Statistics 11:2, pages 193-206.
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G.H. Brown. (1979) An Optimization Criterion for Linear Inverse Estimation. Technometrics 21:4, pages 575-579.
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LászlóJ. Naszódi. (1978) Elimination of the Bias in the Course of Calibration. Technometrics 20:2, pages 201-205.
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Ch.E. Minder & J.B. Whitney. (1975) A Likelihood Analysis of the Linear Calibration Problem. Technometrics 17:4, pages 463-471.
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Göran Ståhl, Terje Gobakken, Svetlana Saarela, Henrik J. Persson, Magnus Ekström, Sean P. Healey, Zhiqiang Yang, Johan Holmgren, Eva Lindberg, Kenneth Nyström, Emanuele Papucci, Patrik Ulvdal, Hans Ole Ørka, Erik Næsset, Zhengyang Hou, Håkan Olsson & Ronald E. McRoberts. (2024) Why ecosystem characteristics predicted from remotely sensed data are unbiased and biased at the same time – and how this affects applications. Forest Ecosystems 11, pages 100164.
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H. L. O. McClelland, I. Halevy, D. A. Wolf‐Gladrow, D. Evans & A. S. Bradley. (2021) Statistical Uncertainty in Paleoclimate Proxy Reconstructions. Geophysical Research Letters 48:15.
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Joel Tellinghuisen. (2019) Calibration: Detection, Quantification, and Confidence Limits Are (Almost) Exact When the Data Variance Function Is Known. Analytical Chemistry 91:14, pages 8715-8722.
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James R. Coleman & Forrest Meggers. (2018) Sensing of Indoor Air Quality—Characterization of Spatial and Temporal Pollutant Evolution Through Distributed Sensing. Frontiers in Built Environment 4.
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Steven S. Andrews & Suzannah Rutherford. (2016) A Method and On-Line Tool for Maximum Likelihood Calibration of Immunoblots and Other Measurements That Are Quantified in Batches. PLOS ONE 11:2, pages e0149575.
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Martin Walker, María-Gloria Basáñez, André Lin Ouédraogo, Cornelus Hermsen, Teun Bousema & Thomas S Churcher. (2015) Improving statistical inference on pathogen densities estimated by quantitative molecular methods: malaria gametocytaemia as a case study. BMC Bioinformatics 16:1.
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Mark Grabowski, Kevin G. Hatala, William L. Jungers & Brian G. Richmond. (2015) Body mass estimates of hominin fossils and the evolution of human body size. Journal of Human Evolution 85, pages 75-93.
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George W. Brown. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Juris Meija, Enea Pagliano & Zoltán Mester. (2014) Coordinate Swapping in Standard Addition Graphs for Analytical Chemistry: A Simplified Path for Uncertainty Calculation in Linear and Nonlinear Plots. Analytical Chemistry 86:17, pages 8563-8567.
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Bo Christiansen. (2014) Straight Line Fitting and Predictions: On a Marginal Likelihood Approach to Linear Regression and Errors-In-Variables Models. Journal of Climate 27:5, pages 2014-2031.
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Emili Besalú. (2013) The connection between inverse and classical calibration. Talanta 116, pages 45-49.
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Samuel D. Oman. (2013) Shrinkage estimation and the use of additional information when calibrating in the presence of random effects. Statistics in Medicine 32:23, pages 4090-4101.
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Jacques O. De Beer, Caroline Naert & Eric Deconinck. (2012) The quality coefficient as performance assessment parameter of straight line calibration curves in relationship with the number of calibration points. Accreditation and Quality Assurance 17:3, pages 265-274.
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Kristian Linnet & James C. Boyd. 2012. Tietz Textbook of Clinical Chemistry and Molecular Diagnostics. Tietz Textbook of Clinical Chemistry and Molecular Diagnostics 7 47 .
Bo Christiansen & Fredrik Charpentier Ljungqvist. (2011) Reconstruction of the Extratropical NH Mean Temperature over the Last Millennium with a Method that Preserves Low-Frequency Variability. Journal of Climate 24:23, pages 6013-6034.
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Joel Tellinghuisen & Carl H. Bolster. (2010) Least-Squares Analysis of Phosphorus Soil Sorption Data with Weighting from Variance Function Estimation: A Statistical Case for the Freundlich Isotherm. Environmental Science & Technology 44:13, pages 5029-5034.
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Chun-Sui Lin & Mong-Na Lo Huang. (2010) Optimal designs for estimating the control values in multi-univariate regression models. Journal of Multivariate Analysis 101:5, pages 1055-1066.
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Betsabé Blas & Mônica C. Sandoval. (2010) Heteroscedastic controlled calibration model applied to analytical chemistry. Journal of Chemometrics 24:5, pages 241-248.
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Joel Tellinghuisen. (2010) Least squares in calibration: Dealing with uncertainty in x. The Analyst 135:8, pages 1961.
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Joel Tellinghuisen. 2009. 499 529 .
Joel Tellinghuisen. 2009. Computer Methods, Part A. Computer Methods, Part A 259 285 .
Qiaoling Charlene Zeng, Elizabeth Zhang & Joel Tellinghuisen. (2008) Univariate calibration by reversed regression of heteroscedastic data: a case study. The Analyst 133:12, pages 1649.
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Betsabé G. Blas Achic, Mônica C. Sandoval & Olga Satomi Yoshida. (2007) Homoscedastic controlled calibration model. Journal of Chemometrics 21:3-4, pages 145-155.
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Jacques O. De Beer, Thomas R. De Beer & Leo Goeyens. (2007) Assessment of quality performance parameters for straight line calibration curves related to the spread of the abscissa values around their mean. Analytica Chimica Acta 584:1, pages 57-65.
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Joel Tellinghuisen. (2007) Weighted least-squares in calibration: What difference does it make?. The Analyst 132:6, pages 536.
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George W. Brown. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Christopher Cox. (2005) Limits of Quantitation for Laboratory Assays. Journal of the Royal Statistical Society Series C: Applied Statistics 54:1, pages 63-76.
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Joel Tellinghuisen. (2005) Simple algorithms for nonlinear calibration by the classical and standard additions methods. The Analyst 130:3, pages 370.
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George W. Brown. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Andrew R. Solow & Amit Huppert. (2004) A potential bias in coral reconstruction of sea surface temperature. Geophysical Research Letters 31:6.
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Hari Iyer. 2003. Statistics in Industry. Statistics in Industry 731 764 .
Joel Tellinghuisen. (2000) Bias and Inconsistency in Linear Regression. The Journal of Physical Chemistry A 104:50, pages 11829-11835.
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Lyle W. Konigsberg, Samantha M. Hens, Lee Meadows Jantz & William L. Jungers. (1998) Stature estimation and calibration: Bayesian and maximum likelihood perspectives in physical anthropology. American Journal of Physical Anthropology 107:S27, pages 65-92.
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R. WEBSTER. (2008) Regression and functional relations. European Journal of Soil Science 48:3, pages 557-566.
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A Kathuria, G NG Gordon & A K Sheridan. (1996) Commentary on McAllister and Gillis (1996) concerning "Estimation of selection differentials from fish scales: a step towards evaluating genetic alteration of fish size in exploited populations. Canadian Journal of Fisheries and Aquatic Sciences 53:4, pages 940-941.
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Philip J. Brown. (2005) Evaluation and control of measurements, John Mandel, Quality and Reliability Series, Marcel Dekker, New York, 1991, ISBN O‐8247‐8531‐2, xi + 249 pp. £58.77. Journal of Chemometrics 8:3, pages 241-241.
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G. R. Iason, D. A. Elston & D. A. Sim. (2009) Ultrasonic scanning for determination of stage of pregnancy in the llama ( Lama glama ): a critical comparison of calibration techniques . The Journal of Agricultural Science 120:3, pages 371-377.
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Anita Singh. (1993) Multivariate decision and detection limits. Analytica Chimica Acta 277:2, pages 205-214.
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P. Steven Porter & Robert C. Ward. (2007) ESTIMATING CENTRAL TENDENCY FROM UNCENSORED TRACE LEVEL MEASUREMENTS 1 . JAWRA Journal of the American Water Resources Association 27:4, pages 687-700.
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R. Webster. (2007) Is regression what you really want?. Soil Use and Management 5:2, pages 47-53.
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H. J. Ruskin. (2005) Calibration: Regression models for concentration problems. Journal of Chemometrics 3:3, pages 529-536.
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C.A.J Lieftinck-Koeijers. (1988) Multivariate calibration: A generalization of the classical estimator. Journal of Multivariate Analysis 25:1, pages 31-44.
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Ryuei Nishii. (1986) Criteria for selection of response variables and the asymptotic properties in a multivariate calibration. Annals of the Institute of Statistical Mathematics 38:2, pages 319-329.
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Yasunori Fujikoshi & Ryuei Nishii. (1986) Selection of variables in a multivariate inverse regression problem. Hiroshima Mathematical Journal 16:2.
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P.C. Thijssen. (1984) A kalman filter for calibration, evaluation of unknown samples and quality control in drifting systems. Analytica Chimica Acta 162, pages 253-262.
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William G. Hunter. 1984. Chemometrics. Chemometrics 97 114 .
W. Merkle. (1983) Statistical methods in regression and calibration analysis of chromosome aberration data. Radiation and Environmental Biophysics 21:3, pages 217-233.
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J. M. HODGSON, J. M. HOLLIS, R. J. A. JONES & R. C. PALMER. (2006) A COMPARISON OF FIELD ESTIMATES AND LABORATORY ANALYSES OF THE SILT AND CLAY CONTENTS OF SOME WEST MIDLAND SOILS. Journal of Soil Science 27:3, pages 411-419.
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