TY - JOUR
T1 - Confidence Bands for Comparison of Transition Probabilities in a Markov Chain Model
AU - Dabrowska, Dorota M.
AU - Ho, Wai Tung
N1 - Funding Information:
Research supported by National Cancer Institute grant R01 CA 65595. The data used in the paper were provided by the International Bone Marrow Transplant Registry with grant support from the National Cancer Institute, National Institute of Allergy and Infectious Diseases, Alpha Therapeutic Corporation, Armour Pharmaceutical Company, Lynde and Harry Bradley Foundation, Bristol-Meyers, Burrough-Wellcome Company, Charles E. Culpeper Foundation, Eleanor Naylor Dana Charitable Trust, Eppley Foundation for Research, Hoechst-Roussel Pharmaceuticals, Immunex Corporation, Kettering Family Foundation, Robert J. and Helen C. Kleberg Foundation, Eli Lilly and Company Foundation, Ambroce Monell Foundation, Samuel Roberts Noble Foundation, Ortho Biotech Corporation, John Oster Family Foundation, Jane and Lloyd Pettitt Foundation, RGK Foundation, Roering Division of Pfizer Pharmaceuticals, Sandoz Research Institute, Stackner Family Foundation, Starr Foundation, Joan and Jack Stein Charities, Swiss Cancer League and Wyeth-Ayerst Research.
PY - 2000
Y1 - 2000
N2 - We consider graphs, confidence procedures and tests that can be used to compare transition probabilities in a Markov chain model with intensities specified by a Cox proportional hazard model. Under assumptions of this model, the regression coefficients provide information about the relative risks of covariates in one-step transitions, however, they cannot in general be used to to assess whether or not the covariates have a beneficial or detrimental effect on the endpoint events. To alleviate this problem, we consider graphical tests based on confidence procedures for a generalized Q-Q plot and for the difference between transition probabilities. The procedures are illustrated using data of the International Bone Marrow Transplant Registry.
AB - We consider graphs, confidence procedures and tests that can be used to compare transition probabilities in a Markov chain model with intensities specified by a Cox proportional hazard model. Under assumptions of this model, the regression coefficients provide information about the relative risks of covariates in one-step transitions, however, they cannot in general be used to to assess whether or not the covariates have a beneficial or detrimental effect on the endpoint events. To alleviate this problem, we consider graphical tests based on confidence procedures for a generalized Q-Q plot and for the difference between transition probabilities. The procedures are illustrated using data of the International Bone Marrow Transplant Registry.
KW - Censoring
KW - Confidence bands
KW - Prediction
UR - https://www.scopus.com/pages/publications/0034154139
U2 - 10.1023/A:1009681332533
DO - 10.1023/A:1009681332533
M3 - Article
C2 - 10763558
AN - SCOPUS:0034154139
SN - 1380-7870
VL - 6
SP - 5
EP - 21
JO - Lifetime Data Analysis
JF - Lifetime Data Analysis
IS - 1
ER -