Lili Tian
PhD
Director of Graduate Studies
Associate Chair
Professor
Research Topics
Statistical Sciences (Statistics/Biostatistics): classification metrics, biomarker/medical device evaluation and classification algorithms; exact and computationally efficient statistical procedures for reliability measures and other essential measures used in applied fields; general statistical methodology with applications in public health and medical science. Interdisciplinary: medical device, clinical trials, biomedical research, cancer research, epidemiology, biobehavioral research, health policy, nursing.
Selected Publications
- Nan N and Tian, L.*# (2023). A new accuracy metric under three classes when subclasses are involved and its confidence interval estimation. Statistics in Medicine, 42.28: 5207-5228.
- Wang J, Yin J and Tian, L. *#(2023). Evaluating Joint Confidence Region of Hypervolume under ROC Manifold and Generalized Youden Index. Statistics in Medicine, 43.5 (2024): 869-889.
- Feng Y. and Tian, L*# (2022). New classification accuracy measures and cut-point selection methods for biomarkers under multiple ordered disease stages, Pharmaceutical Statistics, 21.1: 220-240.
- Gao Y., Tian L. *# (2021). Confidence interval estimation for sensitivity and difference between two sensitivities at a given specificity under tree ordering. Statistics in Medicine, 40(16): 3695–3723.
- Jia Hua and Lili Tian*# (2021). Combining Multiple Biomarkers to Maximize the Diagnostic Accuracy under Ordered Multi-class Setting, Statistical Methods in Medical Research, 30.4: 1101-1118.
- Wang D, Attwood K and Tian L. *#(2016). Receiver Operating Characteristic Analysis under Tree Orderings of Disease Classes, Statistics in Medicine, 35, 1907-1926.
- Dong T, Attwood K, Hutson A, Liu S and Tian L. *#(2015). A New Diagnostic Accuracy Measure and Cut-points Selection Criterion. Statistical Methods in Medical Research, 26(6), 2832-2852.
- Yin J, Tian L. *#(2014). Optimal Linear Combinations of Multiple Diagnostic Biomarker Based on Youden Index. Statistics in Medicine, 33, 1426-1440.
- Yin J, Tian L. *#(2014). Joint Inferene about Area under ROC curve and Youden Index. Statistics in Medicine, 33, 985-1000.
- Kang L, Xiong CJ, Crane P, Tian L *# (2013). Linear combinations of biomarkers to improve diagnostic accuracy with three ordinal diagnostic categories. Statistics in Medicine, 32, 631-642.
- Tian, L, Xiong, C., Lai, C. and Vexler, A. (2010). Exact Confidence Interval Estimation for the Difference in Diagnostic Accuracy with Three Ordinal Diagnostic Groups. Journal of Statistical Planning and Inference, 141, 549-558.
- Tian, L. (2008). Confidence intervals for P(Y1 > Y2) with normal outcomes in linear models, Statistics in Medicine, 27, 4221-4237.
- Tian, L. (2006). Inferences on Standardized Mean Difference: The Generalized Variable Approach, Statistics in Medicine, 26, 945-953.
- Tian, L. (2005). Inferences on the Within-Subject Coefficient of Variation, Statistics in Medicine, 25, 2008-2017.
- Tian, L. (2005). On Confidence Intervals of a Common Intraclass Correlation Coefficient, Statistics in Medicine, 24, 3311-3318.