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First published online February 28, 2007
British Journal of Radiology (2007) 80, 152-160
© 2007 British Institute of Radiology
doi: 10.1259/bjr/64096611

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Analysis of diagnostic confidence and diagnostic accuracy: a unified framework

CS Ng, MRCP, FRCR 1 and CR Palmer, MA, PhD 2

1 Department of Radiology, The University of Texas MD Anderson Cancer Center, Houston, TX 77030, USA, 2 Centre for Applied Medical Statistics, University of Cambridge, Cambridge CB2 2SR, UK


Figure 1
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Figure 1. Routes schematically showing changes in diagnoses on admission, following CT and at final diagnosis. The upper diagram schematically represents scenarios where the post-CT diagnosis is of high confidence and is correct. The middle diagram schematically represents scenarios where the post-CT diagnosis is of high confidence and is incorrect, and the final diagnosis is more severe than the post-CT diagnosis. The lower diagram schematically represents scenarios where the post-CT diagnosis is of high confidence and is incorrect, and the final diagnosis is less severe than the post-CT diagnosis. Left-hand labels: Route labels. For consistency the same nomenclature is used in Figure 2. x (y, z), Confidence score assigned to route travelled by patient from admission to final diagnosis: x=best estimate (y=pessimistic, z=optimistic) score.

 

Figure 2
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Figure 2. Flow chart demonstrating the 36 possible combinations of confidence levels, diagnostic changes and ultimate diagnostic accuracy. Route Label: the italiczed labels (such as A1 and A3) are the same route labels as those in Figure 1. *Route score: this score was derived from a weighted average of the best estimate, pessimistic, and optimistic score (see Materials and methods section). For clarity, the underlying component scores have been presented, denoted as x (y, z) = best estimate (pessimistic, optimistic) scores. **Last row of flow chart = number of patients in each route in the case study.

 

Figure 3
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Figure 3. Conventional analyses of confidence without and with Omary correction. Note: the analyses are independent of the correctness, or otherwise, of the post-test diagnosis.

 

Figure 4
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Figure 4. Flow of patients through the study.*Represents patients in routes F4, F6 in Figure 2. **Represents patients in routes C4, C5, E2, E3, E4, E6 in Figure 2. ***Number of post-CT diagnoses correct at follow up. {dagger}Represents patients in routes A5, A6, B5, B6 in Figure 2 and is the number of admitting diagnoses correct at follow up.

 

Figure 5
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Figure 5. Frequency distributions, and superimposed normal curves, of within-person changes in diagnostic confidence on common [–4, 4] scale, for n = 62 study subjects, according to: (a) score-based weighted average method; (b) conventional analysis, uncorrected for post-CT change in diagnosis; and (c) conventional analysis, with Omary correction for post-CT change in diagnosis.

 





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