User menu

How to regress and predict in a Bland-Altman plot? Review and contribution based on tolerance intervals and correlated-errors-in-variables models

Bibliographic reference Francq, Bernard G. ; Govaerts, Bernadette. How to regress and predict in a Bland-Altman plot? Review and contribution based on tolerance intervals and correlated-errors-in-variables models. In: Statistics in Medicine, Vol. 35, no. 14, p. 2328-2358 (2016)
Permanent URL
  1. Westgard, Clinical Chemistry, 19, 49 (1973)
  2. Ludbrook John, Confidence in Altman-Bland plots: A critical review of the method of differences, 10.1111/j.1440-1681.2009.05288.x
  3. Bland J.M., Altman D.G., Measuring agreement in method comparison studies, 10.1191/096228099673819272
  4. Altman D. G., Bland J. M., Measurement in Medicine: The Analysis of Method Comparison Studies, 10.2307/2987937
  6. Lindley, Journal of the Royal Statistical Society, 9, 218 (1947)
  7. Martı́nez Àngel, del Rı́o F.Javier, Riu Jordi, Rius F.Xavier, Detecting proportional and constant bias in method comparison studies by using linear regression with errors in both axes, 10.1016/s0169-7439(99)00036-2
  8. Francq Bernard G., Govaerts Bernadette B., Measurement methods comparison with errors-in-variables regressions. From horizontal to vertical OLS regression, review and new perspectives, 10.1016/j.chemolab.2014.03.006
  9. Madansky Albert, The Fitting of Straight Lines when Both Variables are Subject to Error, 10.1080/01621459.1959.10501505
  10. Barnett, Journal of the Royal Statistical Society. Series C (Applied Statistics), 19, 135 (1970)
  11. Measurement Error Models, ISBN:9780470316665, 10.1002/9780470316665
  12. Tan Charles Y., Iglewicz Boris, Measurement-Methods Comparisons and Linear Statistical Relationship, 10.1080/00401706.1999.10485668
  13. Francq, Journal de la Soçiété Française de Statistique, 155, 23 (2014)
  14. Wald A., Wolfowitz J., Tolerance Limits for a Normal Distribution, 10.1214/aoms/1177730981
  15. Wald Abraham, Setting of Tolerance Limits When the Sample is Large, 10.1214/aoms/1177731536
  16. Wald Abraham, An Extension of Wilks' Method for Setting Tolerance Limits, 10.1214/aoms/1177731491
  17. Wilks S. S., Statistical Prediction with Special Reference to the Problem of Tolerance Limits, 10.1214/aoms/1177731537
  18. Howe, Journal of the American Statistical Association, 64, 610 (1969)
  19. Fuchs, Journal of Quality Technology, 19, 122 (1987)
  20. Lentner, Geigy Scientific Tables: Introduction to Statistics, Statistical Tables, Mathematical Formulae (1982)
  21. Francq BG Errors-in-variables regressions to assess equivalence in method comparison studies Ph.D. Thesis Louvain-la-Neuve, Belgium 2013
  22. Graybill Franklin A., Wang Chih-Ming, Confidence Intervals on Nonnegative Linear Combinations of Variances, 10.1080/01621459.1980.10477565
  23. Carstensen Bendix, Comparing Clinical Measurement Methods : A Practical Guide, ISBN:9780470683019, 10.1002/9780470683019
  24. Bland J.M., Altman D.G., Comparing methods of measurement: why plotting difference against standard method is misleading, 10.1016/s0140-6736(95)91748-9
  25. Ludbrook John, Linear regression analysis for comparing two measurers or methods of measurement: But which regression? : Linear regression for comparing methods, 10.1111/j.1440-1681.2010.05376.x
  26. Ludbrook John, SPECIAL ARTICLE COMPARING METHODS OF MEASUREMENT, 10.1111/j.1440-1681.1997.tb01807.x
  27. Ludbrook John, Statistical Techniques For Comparing Measurers And Methods Of Measurement: A Critical Review, 10.1046/j.1440-1681.2002.03686.x
  28. Schaalje G. Bruce, Butts Richard A., Some Effects of Ignoring Correlated Measurement Errors in Straight Line Regression and Prediction, 10.2307/2532270
  29. del Río F. Javier, Riu Jordi, Rius F. Xavier, Prediction intervals in linear regression taking into account errors on both axes : PREDICTION INTERVALS IN LINEAR REGRESSION, 10.1002/cem.663
  30. Carstensen B., Comparing and predicting between several methods of measurement, 10.1093/biostatistics/kxg043
  31. Mandel, Journal of Quality Technology, 16, 1 (1984)
  32. Vidmar, Informatica Medica Slovenica, 15, 10 (2010)