About the Model
The concept for the Dialysis vs. Kidney Transplant- Estimated Survival in Ontario
website was developed by Emory University and a team of researchers at Emory
University, including Rachel E. Patzer, PhD, MPH, Mohua Basu, MPH, Michael
Konomos, MS, Michael Patzer, BS, Christian Larsen, MD, DPhil, William M.
McClellan, MD, MPH, David Howard, PhD, and Kimberly Jacob Arriola, PhD, MPH. The
website is not sponsored or endorsed by Emory or otherwise connected with Emory.
The data used to externally validate the models created by the Emory University
team of researchers is based on Ontario data from 2004-2016 and then was
translated into a website and iOS app. Data
was validated by a team of Canadian researchers, including Kyla L. Naylor, PhD,
Amit X. Garg, MD, PhD, Eric McArthur, MSc, Vivian Tan, BSc, and Megan McCallum,
MPH.
Development of Dialysis vs. Kidney Transplant- Estimated Survival in
Ontario Risk Estimates
For information on how the original tool (iChoose Kidney) was created, please
see ichoosekidney.emory.edu/about/estimate-development.html.
The Dialysis vs. Kidney Transplant- Estimated Survival in Ontario tool uses data
from more than 20,000 incident adult dialysis patients in Ontario and over 4000
kidney transplant recipients from January 1, 2004 to December 31, 2014, with
follow-up through December 31, 2016. Logistic regression models were used to
predict the 3-year risk of death for dialysis patients vs. transplant patients.
Predictive accuracy of the models was assessed using the c-statistic of the
associated receiver operating characteristic (ROC) curve, which estimates the
probability of concordance between the observed number of deaths and the
predicted number of deaths based on the model. Model calibration was assessed by
comparing the observed and expected number of deaths for each model. To further
examine model calibration smoothed calibration plots were produced, including
their intercepts, slopes and the Brier score. A correction factor was used to
recalibrate intercepts of the model, when appropriate.1
Translation of Risk Estimates into a Risk Calculator
To transform our model coefficients (examples provided below) into an individualized 3-year mortality estimate the equation below was used2:
For example, 3-year mortality risk for a dialysis patient is derived from the
formula below,
-2.9578 (Baseline risk) + 0.0067(Female) + 0.0388(Age) -0.2990(Black race)
-0.6111(Other Race)
+ 0.4737(Cardiovascular disease) -0.4696(Hypertension) + 0.0169(Diabetes)
and 3-year mortality among transplant patients is derived from the formula
below,
-5.4292 (Baseline risk) -0.0475(Female) + 0.0382(Age) -0.0261(Black race) -0.508 (Other race) + 0.3369(Cardiovascular disease)
-0.2(Hypertension) + 0.4013 (Diabetes) + 0.136(6-12 months on dialysis) + 0.4906(>12 months on dialysis)
Where baseline risk=1; male=0, female= 1; 1=yes and 0=no for Black race, other race,
cardiovascular disease, hypertension, diabetes, 6-12 months on dialysis, and >12 months on dialysis.
Age is modeled as a continuous variable.
In this case, a 50 year old white male with a history of diabetes and hypertension who has been on dialysis for >12 months
has a predicted probability of dying over the next 3 years of 19% on dialysis and 6% with a kidney transplant (relative risk of dying on
dialysis vs. transplant is 3.2). Predicted probability of dying within the next three years with a deceased donor transplant (6%) is
approximately 1.5 times higher than the predicted probability of dying with a living donor transplant (4%).
Prediction Model Discrimination and Performance
We performed an external validation of the risk prediction models for 3-year mortality in the dialysis and
transplantation populations using Ontario data. The discriminatory ability of the model for 3-year mortality
was moderate for dialysis (area under the curve [AUC] = 0.70 [95% confidence interval [CI]: 0.69-0.70] and for
transplant (AUC =0.72 [95% CI: 0.69-0.75]). The AUC was 0.68 (95% CI: 0.64-0.71) for deceased donor transplant
and 0.71 (95% CI: 0.64-0.78) for living donor transplant.
Reference:
1. Janssen KJ, Moons KG, Kalkman CJ, Grobbee DE, Vergouwe Y. Updating methods
improved the performance of a clinical prediction
model in new
patients. J Clin Epidemiol. 2008;61(1): 76-86.
2. Muller CJ and MacLehose RF. Estimating predicted
probabilities from logistic regression: different methods correspond to
different
target populations. International Journal of Epidemiology.
2014; 43 (3); 962–970.