Empirical Likelihood Ratio Test/Confidence Interval for AUC or pAUC
Testing one pAUC(p1, p2) and two quantile values together by Empirical...
Testing one AUC value by Empirical likelihood.
Testing one pAUC(0, p) value by Empirical likelihood.
Testing one pAUC(0, p) value and one quantile: F(tau) = 1-p together b...
Testing one AUC value by Empirical likelihood.
Testing the Difference of 2 AUC values, Paired Data, by Empirical like...
Testing one pAUC value by Empirical likelihood.
Testing one pAUC and one quantile together by Empirical Likelihood.
Internal emplikAUC functions
Finding the Lower bound of a confidence interval for theta by repeated...
Finding the Upper and Lower bound of a confidence interval for theta b...
Finding the Upper bound of a confidence interval for theta by repeat...
Given the x, y 2-sample data, first estimate the (1-partial)-th quanti...
One Iteration of Computing Paired Two Sample Constrained NPMLE.
Smoothed quantile estimation from the given x-sample.
Non-Smoothed indicator function 0.5I[x=y] + I[x < y].
Smoothed indicator function I[x < y], which is the integration of the ...
Smoothed indicator function I[x < const], which is the integration of ...
Smoothed indicator function I[x < const], which is the integration of ...
Smoothed indicator function I[x < const], linear connecting the 1 and ...
Test hypotheses and construct confidence intervals for AUC (area under Receiver Operating Characteristic curve) and pAUC (partial area under ROC curve), from the given two samples of test data with disease/healthy subjects. The method used is based on TWO SAMPLE empirical likelihood and PROFILE empirical likelihood, as described in <https://www.ms.uky.edu/~mai/research/eAUC1.pdf>.