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Assessing Discrimination of Risk Prediction Rules in a Clustered Data Setting

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Part of the book series: Lecture Notes in Statistics ((LNSP,volume 215))

Abstract

The AUC (area under ROC curve) is a commonly used metric to assess discrimination of risk prediction rules; however, standard errors of AUC are usually based on the Mann-Whitney U test that assumes independence of sampling units. For ophthalmologic applications, it is desirable to assess risk prediction rules based on eye-specific outcome variables which are generally highly, but not perfectly correlated in fellow eyes [e.g. progression of individual eyes to age-related macular degeneration (AMD)]. In this article, we use the extended Mann-Whitney U test (Rosner and Glynn, Biometrics 65:188–197, 2009) for the case where subunits within a cluster may have different progression status and assess discrimination of different prediction rules in this setting. Both data analyses based on progression of AMD and simulation studies show reasonable accuracy of this extended Mann-Whitney U test to assess discrimination of eye-specific risk prediction rules.

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Notes

  1. 1.

    The paper appeared in volume 19 (2013) of Lifetime Data Analysis.

References

  1. Hanley, J.A., McNeil, B.J.: The meaning and use of the area under a receiver operating characteristic (roc) curve. Diagn. Radiol. 143, 29–36 (1982)

    Google Scholar 

  2. Hodges, J.L., Jr., Lehmann, E.L.: The efficiency of some nonparametric competitors of the t test. Ann. Math. Stat. 27, 324–335 (1956)

    Article  MathSciNet  MATH  Google Scholar 

  3. Kendall, M.G., Stuart, A.: The Advanced Theory of Statistics. Hafner, New York (1969)

    MATH  Google Scholar 

  4. Li, G., Zhou, K.: A unified approach to nonparametric comparison of receiver operating characteristic curves for longitudinal and clustered data. J. Am. Stat. Assoc. 103(482), 705–713 (2008)

    Article  MATH  Google Scholar 

  5. National Eye Institute.: Age-related macular degeneration. http://www.nei.nih.gov/health/maculardegen/armd_facts.asp (2011). Retrieved on Mar 2011

  6. Obuchowski, N.A.: Receiver operating characteristic curves and their use in radiology. Radiology 229, 3–8 (2003)

    Article  Google Scholar 

  7. Obuchowski, N.A., McClish, D.K.: Sample size determination for diagnostic accuracy studies involving binormal roc curve indices. Stat. Med. 16(13), 1529–1542 (1997)

    Article  Google Scholar 

  8. Pencina, M.J., D’Agostino, R.B. Sr., D’Agostino, R.B. Jr., Vasan, R.S.: Evaluating the added predictive ability of a new marker: from area under the roc curve to reclassification and beyond. Stat. Med. 27, 157–172 (2008)

    Article  MathSciNet  Google Scholar 

  9. Rosner, B., Glynn, R.J.: Power and sample size estimation for the wilcoxon rank sum test with application to comparisons of c statistics from alternative prediction models. Biometrics 65, 188–197 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Rosner, B., Glynn, R.J., Lee, M.T.: Extension of the rank sum test for clustered data: two-group comparisons with group membership defined at the subunit level. Biometrics 62, 1251–1259 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  11. Rubin, D.B.: Multiple Imputation for Non-response in Surveys. Wiley, New York (1987)

    Book  Google Scholar 

  12. Seddon, J.M., Cote, J., Rosner, B.: Progression of age-related macular degeneration. Arch. Ophthalmol. 121, 1728–1737 (2003)

    Article  Google Scholar 

  13. Toledano, A.Y., Gatsonis, C.A.: GEEs for ordinal categorical data: arbitrary patterns of missing responses and missingness in a key covariate. Biometrics 55, 488–496 (1996)

    Article  MathSciNet  Google Scholar 

  14. Zou, K.H., O’Malley, A.J., Mauri, L.: Receiver-operating characteristic analysis for evaluating diagnostic tests and predictive models. Circulation 115, 654–657 (2007)

    Article  Google Scholar 

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Acknowledgements

This work was supported by the National Institutes of Health Grant EY12269 from the National Eye Institute.

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Correspondence to Bernard Rosner .

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© 2013 Springer Science+Business Media New York

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Rosner, B., Qiu, W., Lee, ML.T. (2013). Assessing Discrimination of Risk Prediction Rules in a Clustered Data Setting. In: Lee, ML., Gail, M., Pfeiffer, R., Satten, G., Cai, T., Gandy, A. (eds) Risk Assessment and Evaluation of Predictions. Lecture Notes in Statistics, vol 215. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8981-8_10

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