An Extension of the Bland–Altman Plot for Analyzing the Agreement of More than Two Raters

The Bland–Altman plot is the most common method to analyze and visualize agreement between raters or methods of quantitative outcomes in health research. While very useful for studies with two raters, a limitation of the classical Bland–Altman plot is that it is specifically used for studies with tw...

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Main Authors: Sören Möller, Birgit Debrabant, Ulrich Halekoh, Andreas Kristian Petersen, Oke Gerke
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Diagnostics
Subjects:
Online Access:https://www.mdpi.com/2075-4418/11/1/54
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author Sören Möller
Birgit Debrabant
Ulrich Halekoh
Andreas Kristian Petersen
Oke Gerke
author_facet Sören Möller
Birgit Debrabant
Ulrich Halekoh
Andreas Kristian Petersen
Oke Gerke
author_sort Sören Möller
collection DOAJ
description The Bland–Altman plot is the most common method to analyze and visualize agreement between raters or methods of quantitative outcomes in health research. While very useful for studies with two raters, a limitation of the classical Bland–Altman plot is that it is specifically used for studies with two raters. We propose an extension of the Bland–Altman plot suitable for more than two raters and derive the approximate limits of agreement with <inline-formula><math display="inline"><semantics><mrow><mn>95</mn><mo>%</mo></mrow></semantics></math></inline-formula> confidence intervals. We validated the suggested limit of agreement by a simulation study. Moreover, we offer suggestions on how to present bias, heterogeneity among raters, as well as the uncertainty of the limits of agreement. The resulting plot could be utilized to investigate and present agreement in studies with more than two raters.
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spelling doaj.art-3a70dd86496d47a981002c9f3d3a493d2023-11-21T07:42:12ZengMDPI AGDiagnostics2075-44182021-01-011115410.3390/diagnostics11010054An Extension of the Bland–Altman Plot for Analyzing the Agreement of More than Two RatersSören Möller0Birgit Debrabant1Ulrich Halekoh2Andreas Kristian Petersen3Oke Gerke4Department of Clinical Research, University of Southern Denmark, 5000 Odense C, DenmarkDepartment of Public Health, Epidemiology, Biostatistics and Biodemography, University of Southern Denmark, 5000 Odense C, DenmarkDepartment of Public Health, Epidemiology, Biostatistics and Biodemography, University of Southern Denmark, 5000 Odense C, DenmarkDepartment of Research and Learning, Hospital of Southern Jutland, 6200 Aabenraa, DenmarkDepartment of Clinical Research, University of Southern Denmark, 5000 Odense C, DenmarkThe Bland–Altman plot is the most common method to analyze and visualize agreement between raters or methods of quantitative outcomes in health research. While very useful for studies with two raters, a limitation of the classical Bland–Altman plot is that it is specifically used for studies with two raters. We propose an extension of the Bland–Altman plot suitable for more than two raters and derive the approximate limits of agreement with <inline-formula><math display="inline"><semantics><mrow><mn>95</mn><mo>%</mo></mrow></semantics></math></inline-formula> confidence intervals. We validated the suggested limit of agreement by a simulation study. Moreover, we offer suggestions on how to present bias, heterogeneity among raters, as well as the uncertainty of the limits of agreement. The resulting plot could be utilized to investigate and present agreement in studies with more than two raters.https://www.mdpi.com/2075-4418/11/1/54Bland–Altman plotagreementvisualizationsimulation studymethod comparisoninter-rater
spellingShingle Sören Möller
Birgit Debrabant
Ulrich Halekoh
Andreas Kristian Petersen
Oke Gerke
An Extension of the Bland–Altman Plot for Analyzing the Agreement of More than Two Raters
Diagnostics
Bland–Altman plot
agreement
visualization
simulation study
method comparison
inter-rater
title An Extension of the Bland–Altman Plot for Analyzing the Agreement of More than Two Raters
title_full An Extension of the Bland–Altman Plot for Analyzing the Agreement of More than Two Raters
title_fullStr An Extension of the Bland–Altman Plot for Analyzing the Agreement of More than Two Raters
title_full_unstemmed An Extension of the Bland–Altman Plot for Analyzing the Agreement of More than Two Raters
title_short An Extension of the Bland–Altman Plot for Analyzing the Agreement of More than Two Raters
title_sort extension of the bland altman plot for analyzing the agreement of more than two raters
topic Bland–Altman plot
agreement
visualization
simulation study
method comparison
inter-rater
url https://www.mdpi.com/2075-4418/11/1/54
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