Theoretical analysis of the predictability indices of the binary genetic tests
Aleksandr Vladimirovich Rubanovich , Nikita Nikolayevich Khromov-Borisov
Ecological Genetics ›› 2013, Vol. 11 ›› Issue (1) : 77 -90.
Theoretical analysis of the predictability indices of the binary genetic tests
A set of formulas for the indices of performance and predictive ability of the binary genetic tests is presented. Their dependence on disease prevalence and population frequency of a genetic marker is characterized. It is shown that a marker with the odds ratio OR < 2.2 has an initially low prognostic efficiency in every sense and at any frequencies of the disease and the marker. A marker can be a good classifier, when OR > 5.4, but only when its population frequency is rather high (>0.3). The formulas are presented that allow to obtain indirect estimates of absolute and relative risk of the disease for the carrier of a marker in the case-control studies
AUC / genetic association studies / odds ratio / area under curve (AUC) / predictive genetic testing
| [1] |
Aly M., Wiklun F., Xu J. et al., 2011. Polygenic risk score improves prostate cancer risk prediction: results from the Stockholm-1 cohort study // European Urology. Vol. 60. P. 21–28. |
| [2] |
Anonymous, 1996. How good is the test // Bandolier Journal. N 27. P. 2. http://www.medicine.ox.ac.uk/bandolier/painres/download/Bando027.pdf http://www.medicine.ox.ac.uk/bandolier/band27/b27–2.html. |
| [3] |
Banks E., Reeves G., Beral V. et. al., 2004. Influence of personal characteristics of individual women on sensitivity and specificity of mammography in the Million Women Study: cohort study // BMJ. Vol. 329. N. 7464. P. 477–479. |
| [4] |
Bjartell A., 2011. Genetic markers and the risk of developing prostate cancer // European Urology. Vol. 60. P. 29–31. |
| [5] |
Bossuyt P., 2010. Clinical validity: Defining biomarker performance // Scandinavian Journal of Clinical & Laboratory Investigation. 70. P. 46–52 |
| [6] |
Cohen J., 1960. A coefficient of agreement for nominal scales // Educational and Psychological Measurement. Vol. 20. P. 37–46. |
| [7] |
Fawcett T., 2006. An introduction to ROC analysis //Pattern Recognition Letters. Vol. 27. P. 861–874. |
| [8] |
Folsom A., Cushman M., Tsai M. et al., 2002. A prospective study of venous thromboembolism in relation to factor V Leiden and related factors // Blood. Vol. 99. N. 9. P. 2720–2725. |
| [9] |
Ioannidis J., 2006. Commentary: Grading the credibility of molecular evidence for complex diseases //International Journal of Epidemiology. Vol. 35. P. 572–577. |
| [10] |
Jakobsdottir J., Gorin M. B., Conley Y. P. et al., 2009. Interpretation of genetic association studies: markers with replicated highly significant odds ratios may be poor classifiers // PLoS Genet. Vol. 5. N 2. e1000337. |
| [11] |
King G., Zeng L., 2002. Estimating risk and rate levels, ratios, and differences in case-control studies // Statistics in Medicine. Vol. 21. P. 1409–1427. |
| [12] |
Kraft P., Wacholder S., Cornelis M. C. et al., 2009. Beyond odds ratios — communicating disease risk based on genetic profiles // Nature Reviews Genetics. Vol. 10. P. 264–269. |
| [13] |
Kraemer H. C., Frank E., Kupfer D. J., 2011. How to assess the clinical impact of treatments on patients, rather than the statistical impact of treatments on measures // International Journal of Methods Psychiatric Research. Vol. 20. P. 63–72. |
| [14] |
Landis J. R., Koch G. G., 1977. The measurement of observer agreement for categorical data // Biometrics. Vol. 33. P. 159–174. |
| [15] |
Levin M. L., 1953. The occurrence of lung cancer in man // Acta Union International Contra Cancrum. Vol. 9. P. 531–541. |
| [16] |
Lewontin R. C., Kojima K., 1960. The evolutionary dynamics of complex polymorphisms // Evolution. Vol. 14. P. 458–472. |
| [17] |
Linn S., Grunau P. D., 2006. New patient-oriented summary measure of net total gain in certainty for dichotomous diagnostic tests // Epidemiologic Perspectives & Innovations. Vol. 3: 11. http://www.epi-perspectives.com/content/3/1/11. |
| [18] |
Mitchell A., 2009a. How To: Implement a Screening Programme for Distress in Cancer Settings // Psycho-oncology.info. — Guide # 101. http://www.psycho-oncology.info/PG_implement_ajmitchell.pdf. |
| [19] |
Mitchell A., 2009b. How To: Analyse a Screening or Diagnostic Study // Psycho-oncology.info. — Guide # 104. http://www.psycho-oncology.info/PG_analyse_ajmitchell.pdf. |
| [20] |
Pepe M. S., Gu J. W., Morris D. E., 2010. The potential of genes and other markers to inform about risk // Cancer Epidemiology, Biomarkers & Prevention. Vol. 19. P. 655–665. |
| [21] |
Poste G., 2011. Bring on the biomarkers // Nature. Vol. 469. P. 156–157. |
| [22] |
Sistrom C. L., Garvan C. W., 2004. Proportions, odds, and risk // Radiology. Vol. 230. P. 12–19. |
| [23] |
Slatkin M., 2008. Linkage disequilibrium — understanding the evolutionary past and mapping the medical future // Nature Reviews Genetics. Vol. 9. P. 477–485. |
| [24] |
Spielman R. S., McGinnis R. E., Ewens W. J., 1994. Letter to the Editor: The transmission/disequilibrium test detects cosegregation and linkage // American Journal of Human Genetics Vol. 54. P. 559–560. |
| [25] |
Swets J. A., 1988. Measuring the accuracy of diagnostic systems // Science. Vol. 240. P. 1285–1293. |
| [26] |
Tan P. N., Kumar V., Srivastava J., 2004. Selecting the right objective measure for association analysis //Information Systems. Vol. 29. P. 293–313. |
| [27] |
Winham S. J., Slater A. J., Motsinger-Reif A. A., 2010. A comparison of internal validation techniques for multifactor dimensionality reduction // BMC Bioinformatics. Vol. 11:394. http://www.biomedcentral.com/1471–2105/11/394 |
| [28] |
Youden W. J., 1950. Index for rating diagnostic tests //Cancer. Vol. 3. P. 32–35. |
| [29] |
Yule G. U., 1912. On the methods of measuring association between two attributes // Journal of the Royal Statistical Society. Vol. 75. P. 579–652. |
| [30] |
Zhang J., Yu K. F., 1998. What’s the relative risk? A method of correcting the odds ratio in cohort studies of common outcomes // JAMA. Vol. 280. P. 1690–1691. |
Rubanovich A.V., Khromov-Borisov N.N.
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