We were interested to read the paper by Ozaki et al.1 that was published in Hypertension Research in January 2017.1 The authors aimed to examine the diagnostic performance of the thrombin-cleaved OPN N-terminal (trOPN-N), osteopontin (OPN), metalloproteinase (MMP)-9, S100B, D-dimer and C-reactive protein for the atherothrombotic subtype of ischemic stroke. The results demonstrated that trOPN-N>5.47 pmol l−1 was associated with atherothrombotic risk (odds ratio (OR): 11.7; 95% confidence interval (CI): 2.10–64.87; P=0.005).1
The results were interesting; however, it should be noted that the effect of trOPN-N>5.47 pmol l−1 on atherothrombotic risk is biased due to sparse data availability. It is argued that in the presence of data sparsity the OR will be large and its CI tends to be too wide.2, 3, 4 Methods such as penalization or Bayesian analysis are suggested to remove or limit sparse data bias.2, 3 The authors reported the sensitivity, specificity and c-statistic of trOPN-N>5.47 pmol l−1 for atherothrombotic to be 0.54, 0.91 and 0.72, respectively. We drew a 2 × 2 combination of trOPN-N and atherothrombotic risk using the aforementioned information (Table 1), then we used penalized estimation to correct the sparse data bias regarding the effect of trOPN-N>5.47 pmol l–1 on atherothrombotic risk. The corrected OR (95% CI) was found to be 7.73 (2.21, 27.00).
References
Ozaki S, Kurata M, Kumon Y, Matsumoto S, Tagawa M, Watanabe H, Ohue S, Higaki J, Ohnishi T . Plasma thrombin-cleaved osteopontin as a potential biomarker of acute atherothrombotic ischemic stroke. Hypertens Res 2017; 40: 61–66.
Greenland S, Mansournia MA . Penalization, bias reduction, and default priors in logistic and related categorical and survival regressions. Stat Med 2015; 34: 3133–3143.
Greenland S, Mansournia MA, Altman DG . Sparse data bias: a problem hiding in plain sight. BMJ 2016; 352: i1981.
Ayubi E, Safiri S, Mansournia MA . Increased risk of thromboembolic events in adult congenital heart disease patients with atrial tachyarrhythmias: Bias due to the data sparsity. Int J Cardiol 2017; 239: 20.
Acknowledgements
The authors would like to thank the statistics consultants of the Research Development Center of Sina Hospital for their technical assistance. This work was not supported by any organization.
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Ayubi, E., Safiri, S. Plasma thrombin-cleaved osteopontin as a potential biomarker of acute atherothrombotic ischemic stroke: comments on data sparsity. Hypertens Res 40, 944 (2017). https://doi.org/10.1038/hr.2017.70
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DOI: https://doi.org/10.1038/hr.2017.70