Bland-Altman Plot Interpretation: Bias and Limits of Agreement

This page provides methodological interpretation of aggregate measurement output only. It does not decide whether two methods are safe or interchangeable for an individual.

Illustrative figureIllustrative Bland-Altman plot with mean bias, upper and lower limits of agreement, and a proportional-bias trend.
Illustrative synthetic values; no published measurements are shown.

Read the three horizontal references

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ElementMeaning
Mean differenceAverage signed bias under the chosen subtraction order
Upper limitMean difference + 1.96 SD of differences under the usual normal-difference convention
Lower limitMean difference − 1.96 SD of differences

Reversing method order reverses all difference signs. The 1.96 construction is a method-specific convention with assumptions, not a universal acceptability boundary. Whether the limits are narrow enough is a domain decision defined before inspecting the plot.1

Patterns beyond the lines

A slope suggests proportional bias: disagreement changes with measurement magnitude. A funnel suggests nonconstant difference variance. Isolated points may be data issues or valid extremes. If repeated measurements come from the same subjects, ordinary independent-observation limits are inappropriate; Bland and Altman provide extensions for repeated data.2

Do not use a correlation coefficient as a substitute. Correlation measures association and can be high when one method is systematically offset. Scatter plots show association geometry, while forest plots summarize study effects rather than method agreement.

A defensible reporting sentence

“Method A minus Method B had mean difference 2.1 units, with 95% limits of agreement −7.4 to 11.6. The plot showed increasing spread at larger means, so constant limits were not treated as adequate without further modeling.”

Evidence trail

Sources and notes

  1. The Lancet 327(8476):307–310; mean difference and limits of agreement
  2. J. Martin Bland and Douglas G. Altman (1999). Measuring Agreement in Method Comparison Studies
    Statistical Methods in Medical Research 8(2):135–160; repeated measurements and nonconstant differences
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