Measuring agreement in method comparison studies
Abstract
Agreement between two methods of clinical measurement can be quantified using the differences between observations made using the two methods on the same subjects. The 95% limits of agreement, estimated by mean difference +/- 1.96 standard deviation of the differences, provide an interval within which 95% of differences between measurements by the two methods are expected to lie. We describe how graphical methods can be used to investigate the assumptions of the method and we also give confidence intervals. We extend the basic approach to data where there is a relationship between difference and magnitude, both with a simple logarithmic transformation approach and a new, more general, regression approach. We discuss the importance of the repeatability of each method separately and compare an estimate of this to the limits of agreement. We extend the limits of agreement approach to data with repeated measurements, proposing new estimates for equal numbers of replicates by each method on each subject, for unequal numbers of replicates, and for replicated data collected in pairs, where the underlying value of the quantity being measured is changing. Finally, we describe a nonparametric approach to comparing methods.
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The inter-rater agreement between the two authors for quality appraisal was 85%, with Cohen's kappa = .70, indicating good to substantial agreement.
“The inter-rater agreement between the two authors was 85% (McHugh, 2012), with the inter-rater reliability score (Cohen's kappa = .70; Bland & Altman, 1999, based on Landis & Koch, 1977) indicating a good to substantial level of agreement.”
From Unraveling the Complexities of Offender Strategies as Part of Online Sexual Grooming and Technology-Assisted Child Sexual Abuse: A Systematic Review (2026) · cites this paper as Bland & Altman, 1999
Bland and Altman introduced the Bland-Altman (B&A) plot to describe agreement between two quantitative measurements.
“Bland and Altman introduced the Bland-Altman (B&A) plot to describe agreement between two quantitative measurements (6).”
From Understanding bland altman analysis (2015) · cites this paper as [6]
Bland and Altman established a method to quantify agreement between two quantitative measurements by constructing limits of agreement.
“They established a method to quantify agreement between two quantitative measurements by constructing limits of agreement.”
From Understanding bland altman analysis (2015) · cites this paper as [6]
Bland and Altman recommended that 95% of the data points should lie within ±2 standard deviations of the mean difference.
“B&A recommended that 95% of the data points should lie within ± 2s of the mean difference.”
From Understanding bland altman analysis (2015) · cites this paper as [6]
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- Authors
- Bland, J. M., & Altman, D. G.
- Affiliations
- St George's, University of London (GB)
- University of Oxford (GB)
- ORCID
- Altman, D.G.
- Venue
- Statistical Methods in Medical Research
- Publisher
- SAGE Publications
- Published
- 1999-06-01
- Volume
- 8
- Issue
- 2
- Pages
- 135-160
- ISSN
- 0962-2802 (ISSN-L)
- 1477-0334
- OpenAlex
- W2159759971
- Cited by
- 9,619
- References
- 0
- Citations by year
- 2026: 393 · 2025: 421 · 2024: 483 · 2023: 494 · 2022: 559 · 2021: 681 · 2020: 610 · 2019: 506 · 2018: 485 · 2017: 457 · 2016: 412 · 2015: 437 · 2014: 461 · 2013: 388 · 2012: 401
- FWCI
- 47.68
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Statistical Methods in Medical Research (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Reliability and Agreement in Measurement
- Health Sciences › Medicine › Physiology › Clinical Laboratory Practices and Quality Control
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Keywords
- method comparison, measurement agreement, limits of agreement, mean difference, repeatability, regression analysis, logarithmic transformation, repeated measures, nonparametric comparison, graphical method, confidence intervals
- MeSH terms
- Humans, Medical Laboratory Science, Reproducibility of Results, Confidence Intervals, Linear Models, Statistics, Nonparametric, Clinical Laboratory Techniques
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