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Inference for current leukemia free survival

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Abstract

Donor lymphocyte infusion (DLI) for patients who relapse following an allogeneic stem cell transplant has proved remarkably durable. Because of the potential for second remissions with DLI, the current leukemia free survival (CLFS), which is the probability that a patient has not failed the entire course of the treatment, is becoming of interest to clinical investigators. Based on either a multistate Markov model or a linear combination of Kaplan-Meier estimators, we explore regression models for the CLFS. We focus on the two sample problem and we develop confidence bands for the CLFS or for differences in CLFS as well as a Kolmogorov type hypothesis test using a re-sampling technique. We also examine the use of pseudo-values to make inference on the direct effects of covariates on the CLFS function and we develop a score test for the equality of two CLFS. We illustrate these inference methods on a bone marrow transplant dataset.

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References

  • Andersen PK, Borgan Ø, Gill RD, Keiding N (1993) Statistical models based on counting processes. Springer-Verlag, New York

    MATH  Google Scholar 

  • Andersen PK, Klein JP (2007) Regression analysis for multistate models based on a pseudo-value approach, with applications to bone marrow transplantation studies. Scand J Stat 34: 3–6. doi:10.1111/j.1467-9469.2006.00526.x

    Article  MATH  MathSciNet  Google Scholar 

  • Andersen PK, Klein JP, Rosthøj S (2003) Generalized linear models for correlated pseudo-observations with applications to multi-state models. Biometrika 90: 15–7. doi:10.1093/biomet/90.1.15

    Article  MATH  MathSciNet  Google Scholar 

  • Boos DD (1992) On generalized score tests. Am Stat 46: 327–33. doi:10.2307/2685328

    Article  Google Scholar 

  • Borgan Ø, Liestøl K (1990) A note on confidence intervals and bands for the survival curve based on transformations. Scand J Stat 17: 35–1

    Google Scholar 

  • Collins RH, Shipilberg R et al (1997) Donor leukocyte infusions in 140 patients with relapsed malignancy after allogeneic bone marrow transplantation. J Clin Oncol 15: 433–44

    Google Scholar 

  • Craddock C, Szydlo RM, Klein JP et al (2000) Estimating leukemia-free survival after allografting for chronic myeloid leukemia: a new method that takes into account patients who relapse and are restored to complete remission. Blood 96: 86–0

    Google Scholar 

  • Hall WJ, Wellner JA (1980) Confidence bands for a survival curve from censored data. Biometrika 67: 133–43. doi:10.1093/biomet/67.1.133

    Article  MATH  MathSciNet  Google Scholar 

  • Horowitz MM, Gale RP, Sondel PM et al (1990) Graft-versus-leukemia reactions after bone marrow transplantation. Blood 75: 555–62

    Google Scholar 

  • Klein JP, Keiding N, Shu Y, Szydlo RM, Goldman JM (2000a) Summary curves for patients transplanted for chronic myeloid leukaemia salvaged by a donor lymphocyte infusion: the current leukaemia-free survival curve. Br J Haematol 109: 148–52. doi:10.1046/j.1365-2141.2000.01982.x

    Article  Google Scholar 

  • Klein JP, Szydlo RM, Craddock C, Goldman JM (2000b) Estimation of current leukemia-free survival following donor lymphocyte infusion therapy for patients with leukemia who relapse after allografting: application of a multistate model. Stat Med 19:3005–016. doi :10.1002/1097-0258(20001115)19:21<3005::AID-SIM592>3.0.CO;2-9

  • Kolb HJ, Mittermuller J, Clemm CH et al (1990) Donor leukocyte transfusions for treatment of recurrent chronic myelogenous leukemia in marrow transplant patients. Blood 76: 2462–465

    Google Scholar 

  • Lin DY (1997) Non-parametric inference for cumulative incidence functions in competing risks. Stat Med 16:901–10. doi :10.1002/(SICI)1097-0258(19970430)16:8<901::AID-SIM543>3.0.CO;2-M

  • Nair VN (1984) Confidence bands for survival functions with censored data: a comparative study. Technometrics 26: 265–75. doi:10.2307/1267553

    Article  Google Scholar 

  • Rotnitzky A, Jewell NP (1990) Hypothesis testing of regression parameters in semiparametric generalized linear models for cluster correlated data. Biometrika 77: 485–97. doi:10.1093/biomet/77.3.485

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Division of Biostatistics, Department of Population Health Medical College of Wisconsin, 9701 Watertown Plank Road, Milwaukee, WI, 53226, USA

    Leiyan Liu, Brent Logan & John P. Klein

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  1. Leiyan Liu
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  2. Brent Logan
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  3. John P. Klein
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Correspondence to John P. Klein.

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Liu, L., Logan, B. & Klein, J.P. Inference for current leukemia free survival. Lifetime Data Anal 14, 432–446 (2008). https://doi.org/10.1007/s10985-008-9093-1

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  • DOI: https://doi.org/10.1007/s10985-008-9093-1

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