PUBLICATIONS

  • ISSN No. Print
  • ISSN No. Online
  • Registration No.
  • Periodicity
  • Print
  • Online
  • Website

Some Aspects on the Utility of Distance Measures in Comparing Two MROC Curves

DOI
10.15415/mjis.2016.51006

AUTHORS

Sameera G And Vishnu Vardhan R

ABSTRACT

Receiver Operating Characteristic (ROC) curve is a widely used and accepted tool to assess the performance of a classifier or procedure. Apart from this, comparing the procedures or ROC curves is also of interest. A multivariate extension of ROC (MROC) curve that considers a linear combination of several markers for classification was proposed by Sameera, Vishnu Vardhan and Sarma [13]. In the present paper, some inferential procedures are given to compare two MROC curves by means of distance measures based on scores of MROC curve and summary measures such as mean vectors and dispersion matrices. Real and Simulated data sets are used to demonstrate the above proposed inferential aspects.

KEYWORDS

Bhattacharya Distance, Mahalanobis Distance, Mean vectors and Dispersion matrices and Multivariate Receiver Operating Characteristic curve.

REFERENCES

  • Aiyi Liu, Schisterman, E. F. & Yan Zhu (2005). On linear combinations of biomarkers to improve diagnostic accuracy. Statistics in Medicine, 24, 37–47. http://dx.doi.org/10.1002/sim.1922
  • Bendi Venkata Ramana, Prof. M. Surendra Prasad Babu & Prof. N. B. Venkateswarlu (2012). ILPD (Indian Liver Patient Dataset) Data Set, https://archive.ics.uci.edu/ml/datasets/ILPD+(Indian+Liver+Patient+ Datset).
  • Feng Gao, Chengjie Xiong, Yan Yan &Zhengjun Zhang (2008). Estimating optimum linear combination of multiple correlated diagnostic tests at a fixed specificity with receiver operating characteristic curves. Journal of Data Science, 6, 1–13.
  • Gourevitch, V. & Galanter, E. (1967). A significance test for one parameter isosensitivity functions. Psychometrika, 32, 25–33. http://dx.doi.org/10.1007/BF02289402
  • Greenhouse, S.W. & Nathan Mantel (1950). The evaluation of diagnostic tests. Biometrics 6(4), 399–412. http://dx.doi.org/10.2307/3001784
  • Hanley, J. A. & McNeil, B. J. (1982). A meaning and use of the area under a receiver operating characteristics (roc) curves. Radiology, 143, 29–36. http://dx.doi.org/10.1148/radiology.143.1.7063747
  • Hanley, J. A. & McNeil, B. J. (1983). A method of comparing the areas under receiver operating characteristic curves derived from the same cases. Radiology, 148, 839–843. http://dx.doi.org/10.1148/radiology.148.3.6878708
  • John, Q. Su & Jun, S. Liu (1993). Linear combinations of multiple daignostic markers. Journal of American Statistical Association, 88(424), 1350–1355. http://dx.doi.org/10.1080/01621459.1993.10476417
  • Johnson, R.A. & Wichern, D.W. (2007). Applied Multivariate Statistical Analysis. Pearson Prentice Hall, 6/e.
  • Marascuilo, L. A. (1970). Extension of the significance test for one parameter signal detection hypotheses. Psychometrika, 35, 237–243. http://dx.doi.org/10.1007/BF02291265
  • McClish D. K. (1987). Comparing the areas under more than two independent roc curves. Medical Decision Making, 7, 149–155. http://dx.doi.org/10.1177/0272989X8700700305
  • Metz, C. E. & Kronman, H. B. (1980). Statistical significance tests for binormal roc curves. Journal of Mathematical Psychology, 22, 243–243. http://dx.doi.org/10.1016/0022-2496(80)90020-6
  • Sameera, G. Vishnu Vardhan, R & Sarma, KVS (2015). Binary Classification using Multivariate Receiver Operating Characteristic curve for Continuous Data. Journal of Biopharmaceutical Statistics, http://dx.doi.org/10.108010543406.2015.1052479.
  • Vishnu Vardhan, R. Sameera, G. Chandrasekharan, P.A. & Thulasi Beere (2015). Inferential Procedures for Comparing the Accuracy and Intrinsic Measures of Multivariate Receiver Operating Characteristic (MROC) Curve. International Journal of Statistics in Medical Research, 4, 87-93. http://dx.doi.org/10.6000/1929-6029.2015.04.01.10
Call for Papers Publication Policy Instructions to the Authors Paper Submission Subscription Form Copyright Form Author Profile Format Sample paper Recommend to a Librarian Patrons & Leadership

Refereed Research Journal

Plagiarism Checked by

Member of CrossRef

Indexing

Call for Papers

Invites papers for next issue of Mathematical Journal of Interdisciplinary Sciences

Frequency

Mathematical Journal of Interdisciplinary Sciences is published Bi-Annually

Number-1 September
Number-2 March