Abstract
Advances in biotechnology have raised expectations that biomarkers, including genetic profiles, will yield information to accurately predict outcomes for individuals. However, results to date have been disappointing. In addition, statistical methods to quantify the predictive information in markers have not been standardized. We discuss statistical techniques to summarize predictive information, including risk distribution curves and measures derived from them, that relate to decision making. Attributes of these measures are contrasted with alternatives such as receiver operating characteristic curves, R(2), percent reclassification, and net reclassification index. Data are generated from simple models of risk conferred by genetic profiles for individuals in a population. Statistical techniques are illustrated, and the risk prediction capacities of different risk models are quantified. Risk distribution curves are most informative and relevant to clinical practice. They show proportions of subjects classified into clinically relevant risk categories. In a population in which 10% have the outcome event and subjects are categorized as high risk if their risk exceeds 20%, we identified some settings where more than half of those destined to have an event were classified as high risk by the risk model. Either 150 genes each with odds ratio of 1.5 or 250 genes each with odds ratio of 1.25 were required when the minor allele frequencies are 10%. We show that conclusions based on receiver operating characteristic curves may not be the same as conclusions based on risk distribution curves. Many highly predictive genes will be required to identify substantial numbers of subjects at high risk.
MeSH Terms
Biomarkers/analysis
Genetic Predisposition to Disease
Genetic Testing/standards
Humans
Models, Statistical
Odds Ratio
Predictive Value of Tests
ROC Curve
Risk
Risk Assessment/methods
Authors & Affiliations
3 authors, click to expand affiliations / ORCID
Pepe Margaret S
Biostatistics and Biomathematics Program, Public Health Sciences Division, Fred Hutchinson Cancer Research Center, 1100 Fairview Avenue North, M2-B500, Seattle, WA 98105, USA. mspepe@u.washington.edu
Gu Jessie W
Morris Daryl E
References (14)
14 references, click to expand
-
Use and misuse of the receiver operating characteristic curve in risk prediction.
Circulation. 2007 Feb 20;115(7):928-35
PMID: 17309939
-
Evaluating the added predictive ability of a new marker: from area under the ROC curve to reclassification and beyond.
Stat Med. 2008 Jan 30;27(2):157-72; discussion 207-12
PMID: 17569110
-
Decision curve analysis: a novel method for evaluating prediction models.
Med Decis Making. 2006 Nov-Dec;26(6):565-74
PMID: 17099194
-
Assessing new biomarkers and predictive models for use in clinical practice: a clinician's guide.
Arch Intern Med. 2008 Nov 24;168(21):2304-10
PMID: 19029492
-
On criteria for evaluating models of absolute risk.
Biostatistics. 2005 Apr;6(2):227-39
PMID: 15772102
-
Assessing the value of risk predictions by using risk stratification tables.
Ann Intern Med. 2008 Nov 18;149(10):751-60
PMID: 19017593
-
Semiparametric methods for evaluating risk prediction markers in case-control studies.
Biometrika. 2009 Dec;96(4):991-997
PMID: 22822247
-
Evaluating new cardiovascular risk factors for risk stratification.
J Clin Hypertens (Greenwich). 2008 Jun;10(6):485-8
PMID: 18550940
-
Integrating the predictiveness of a marker with its performance as a classifier.
Am J Epidemiol. 2008 Feb 1;167(3):362-8
PMID: 17982157
-
Comments on 'Evaluating the added predictive ability of a new marker: From area under the ROC curve to reclassification and beyond' by M. J. Pencina et al., Statistics in Medicine (DOI: 10.1002/sim.2929).
Stat Med. 2008 Jan 30;27(2):173-81
PMID: 17671958
-
Evaluating the predictiveness of a continuous marker.
Biometrics. 2007 Dec;63(4):1181-8
PMID: 17489968
-
A parametric ROC model-based approach for evaluating the predictiveness of continuous markers in case-control studies.
Biometrics. 2009 Dec;65(4):1133-44
PMID: 19459841
-
Discriminatory accuracy from single-nucleotide polymorphisms in models to predict breast cancer risk.
J Natl Cancer Inst. 2008 Jul 16;100(14):1037-41
PMID: 18612136
-
Predictive testing for complex diseases using multiple genes: fact or fiction?
Genet Med. 2006 Jul;8(7):395-400
PMID: 16845271