Inference on the probability P(T1 < T2) as a measurement of treatment effect under a density ratio model and random censoring

Let T"1 and T"2 be the survival times of patients randomized to, respectively, two treatment groups. The probability P(T"1

[1]  Y. Qin.  Inferences for case-control and semiparametric two-sample density ratio models , 1998 .

[2]  A. Keziou,et al.  On empirical likelihood for semiparametric two-sample density ratio models , 2008 .

[3]  D. Cox,et al.  An Analysis of Transformations , 1964 .

[4]  Biao Zhang,et al.  Using logistic regression procedures for estimating receiver operating characteristic curves , 2003 .

[5]  J. Anderson.  Multivariate logistic compounds , 1979 .

[6]  Jian-Jian Ren,et al.  Weighted empirical likelihood in some two-sample semiparametric models with various types of censored data , 2008, 0803.1752.

[7]  Benjamin Kedem,et al.  Two-dimensional semiparametric density ratio modeling of testicular germ cell data. , 2009, Statistics in medicine.

[8]  Hua Liang,et al.  Empirical-likelihood-based semiparametric inference for the treatment effect in the two-sample problem with censoring. , 2005, Biometrika.

[9]  Dongsheng Tu,et al.  Randomized trial comparing cyclophosphamide, epirubicin, and fluorouracil with cyclophosphamide, methotrexate, and fluorouracil in premenopausal women with node-positive breast cancer: update of National Cancer Institute of Canada Clinical Trials Group Trial MA5. , 2005, Journal of clinical oncology : official journal of the American Society of Clinical Oncology.

[10]  Dongsheng Tu,et al.  Adjustment of Treatment Effect for Covariates in Clinical Trials: Statistical and Regulatory Issues , 2000 .

[11]  David J. Woodruff,et al.  Statistical Inference for , 1951 .

[12]  J. Koziol,et al.  The Concordance Index C and the Mann–Whitney Parameter Pr(X>Y) with Randomly Censored Data , 2009, Biometrical journal. Biometrische Zeitschrift.

[13]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[14]  Jian-Jian Ren,et al.  Weighted Empirical Likelihood Ratio Confidence Intervals for the Mean with Censored Data , 2001 .

[15]  T. Cox,et al.  Robust logistic discrimination , 1991 .

[16]  Qihua Wang,et al.  Empirical likelihood calibration estimation for the median treatment difference in observational studies , 2011, Comput. Stat. Data Anal..

[17]  Konstantinos Fokianos,et al.  Inference for the relative treatment effect with the density ratio model , 2007 .

[18]  R. Kay,et al.  Transformations of the explanatory variables in the logistic regression model for binary data , 1987 .

[19]  J. Shao,et al.  The jackknife and bootstrap , 1996 .

[20]  Xiao-Li Meng,et al.  A general estimator of the treatment effect when the data are heavily censored , 1991 .

[21]  Melinda H. McCann,et al.  Reformulating the hazard ratio to enhance communication with clinical investigators , 2008, Clinical trials.

[22]  J. Qin,et al.  A goodness-of-fit test for logistic regression models based on case-control data , 1997 .

[23]  Konstantinos Fokianos,et al.  Merging information for semiparametric density estimation , 2004 .

[24]  Wang Zhou,et al.  Statistical inference for P(X , 2008, Statistics in medicine.

[25]  John J. Peterson,et al.  Probabilistic index: an intuitive non‐parametric approach to measuring the size of treatment effects , 2006, Statistics in medicine.

[26]  Biao Zhang,et al.  Quantile estimation under a two-sample semi-parametric model , 2000 .

[27]  Konstantinos Fokianos,et al.  On the Effect of Misspecifying the Density Ratio Model , 2006 .

[28]  C. Chu,et al.  Semiparametric density estimation under a two-sample density ratio model , 2004 .

[29]  Margaret S Pepe,et al.  Using the ROC curve for gauging treatment effect in clinical trials , 2006, Statistics in medicine.

[30]  W F Scott.  The estimation of the hazard ratio in clinical trials and in meta-analysis. , 2000 .

[31]  Yu Shen,et al.  Inference of Tamoxifen's Effects on Prevention of Breast Cancer From a Randomized Controlled Trial , 2007, Journal of the American Statistical Association.

[32]  M. Buyse,et al.  Reformulating the hazard ratio to enhance communication with clinical investigators , 2008, Clinical trials.

[33]  B. Efron.  The two sample problem with censored data , 1967 .

[34]  F. Harrell,et al.  Evaluating the yield of medical tests. , 1982, JAMA.