© 1965 by Biometrika Trust
Artcles |
A generalized Wilcoxon test for comparing arbitrarily singly-censored samples*
Birkbeck College, London and the National Institutes of Health Bethesda
A distribution-free two-sample test is proporesearch-articlesed that is an extension of the Wilcoxon test to samples with arbitrary censoring on the right. The test is conditional on the pattern of observations. The null hypothesis is
H0: F1(t) = F2(t) (t 
T) against either
H1: F1(t) <F2 (t T) or
H2: F1(t) < F2(t) or F1(t) > F2(t) (t T), where F1, F2 are cumulative distributions (discrete or continuous) of the observations and T is their upper limit. The test is shown to be asymptotically normal and consistent against one-sided alternatives F1(t) < F2(t) (t T) and against two-sided alternatives where either F1(t) < F2(t) or F2(t) > F2(t) (tT). The asymptotic efficiency of the test relative to the efficient parametric test when the distributions are exponential is at least 0.75 and increases with degree of censoring. When H0 is true, the test not seriously affected by real differences in the percentage censored in the two groups. Some comparisons are made for five cases of varying degrees of censoring and tying between probabilities from the exact test and those from the proposed test and these suggest the test is appropriate under certain conditions when the sample size is five in each group. A worked example is presented and some discussion is given to further problems.
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 A. Solberg Community Posthospital Follow-Up Services Eval Rev, January 1, 1983; 7(1): 96 - 109. [Abstract] [PDF]
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M. J. Keating, K. B. McCredie, G. P. Bodey, T. L. Smith, E. Gehan, and E. J Freireich Improved Prospects for Long-term Survival in Adults With Acute Myelogenous Leukemia JAMA, November 19, 1982; 248(19): 2481 - 2486. [Abstract] [PDF]
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C. L. Day Jr, M. C. Mihm Jr, A. J. Sober, T. B. Fitzpatrick, R. A. Malt, A. W. Kopf, R. A. Lew, and T. J. Harrist Skin Lesions Suspected to Be Melanoma Should Be Photographed: Gross Morphological Features of Primary Melanoma Associated With Metastases JAMA, September 3, 1982; 248(9): 1077 - 1081. [Abstract] [PDF]
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I. M. Cohen, J. N. Galgiani, D. Potter, and D. A. Ogden Coccidioidomycosis in Renal Replacement Therapy Arch Intern Med, March 1, 1982; 142(3): 489 - 494. [Abstract] [PDF]
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K. M. SCHWARTZ, J. D. TURNER, L. T. SHEFFIELD, D. I. ROITMAN, S. KANSAL, S. E. PAPAPIETRO, J. A. MANTLE, C. E. RACKLEY, R. O. RUSSELL Jr., and W. J. ROGERS Limited Exercise Testing Soon After Myocardial Infarction: Correlation with Early Coronary and Left Ventricular Angiography Ann Intern Med, June 1, 1981; 94(6): 727 - 734. [Abstract] [PDF]
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M. M. Bortin, R. P. Gale, and A. A. Rimm Allogeneic Bone Marrow Transplantation for 144 Patients With Severe Aplastic Anemia JAMA, March 20, 1981; 245(11): 1132 - 1139. [Abstract] [PDF]
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R. Feld, J. F. Pringle, W. K. Evans, C. W. Keen, I. C. Quirt, J. E. Curtis, M. A. Baker, J. L. Yeoh, G. Deboer, and T. C. Brown Combined Modality Treatment of Small Cell Carcinoma of the Lung Arch Intern Med, March 1, 1981; 141(4): 469 - 473. [Abstract] [PDF]
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D. J. H. Wagenfeld, A. R. Harwood, D. P. Bryce, A. W. P. van Nostrand, and G. de Boer Second Primary Respiratory Tract Malignant Neoplasms in Supraglottic Carcinoma Arch Otolaryngol Head Neck Surg, March 1, 1981; 107(3): 135 - 137. [Abstract] [PDF]
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L. R. Zacharski, W. G. Henderson, F. R. Rickles, W. B. Forman, C. J. Cornell Jr, R. J. Forcier, R. Edwards, E. Headley, S.-H. Kim, J. R. O'Donnell, et al. Effect of Warfarin on Survival in Small Cell Carcinoma of the Lung: Veterans Administration Study No. 75 JAMA, February 27, 1981; 245(8): 831 - 835. [Abstract] [PDF]
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B.-S. Yap, H.-Y. Yap, H. A. Fritsche, G. Blumenschein, and G. P. Bodey CSF Carcinoembryonic Antigen in Meningeal Carcinomatosis From Breast Cancer JAMA, October 3, 1980; 244(14): 1601 - 1603. [Abstract] [PDF]
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J. A. Caprini, M. A. Oviedo, M. P. Cunningham, E. Cohen, R. S. Trueheart, J. D. Khandekar, and E. F. Scanlon Adjuvant Chemotherapy for Stage II and III Breast Carcinoma JAMA, July 18, 1980; 244(3): 243 - 246. [Abstract] [PDF]
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D. L. SWEET, H. M. GOLOMB, J. E. ULTMANN, J. B. MILLER, R. S. STEIN, E. P. LESTER, U. MINTZ, J. D. BITRAN, R. A. STREULI, K. DALY, et al. Cyclophosphamide, Vincristine, Methotrexate with Leucovorin Rescue, and Cytarabine (COMLA) Combination Sequential Chemotherapy for Advanced Diffuse Histiocytic Lymphoma Ann Intern Med, June 1, 1980; 92(6): 785 - 790. [Abstract] [PDF]
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R. G. Hoffmann, S. L. Blumlein, A. J. Anderson, J. J. Barboriak, J. A. Walker, and A. A. Rimm The Probability of Surviving Coronary Bypass Surgery: Five-Year Results From 1,718 Patients JAMA, April 4, 1980; 243(13): 1341 - 1344. [Abstract] [PDF]
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R. S. STEIN, H. M. GOLOMB, C. H. DIGGS, P. MAUCH, S. HELLMAN, P. H. WIERNIK, J. E. ULTMANN, and D. S. ROSENTHAL Anatomic Substages of Stage III-A Hodgkin's Disease: A Collaborative Study Ann Intern Med, February 1, 1980; 92(2_Part_1): 159 - 165. [Abstract] [PDF]
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S. S. LEGHA, A. U. BUZDAR, T. L. SMITH, G. N. HORTOBAGYI, K. D. SWENERTON, G. R. BLUMENSCHEIN, E. A. GEHAN, G. P. BODEY, and E. J. FREIREICH Complete Remissions in Metastatic Breast Cancer Treated with Combination Drug Therapy Ann Intern Med, December 1, 1979; 91(6): 847 - 852. [Abstract] [PDF]
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S. J. Rossiter, D. C. Miller, E. B. Stinson, P. E. Oyer, B. A. Reitz, and N. E. Shumway Aortic and Mitral Prosthetic Valve Reoperations: Early and Late Results Arch Surg, November 1, 1979; 114(11): 1279 - 1283. [Abstract] [PDF]
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A. U. Buzdar, G. R. Blumenschein, J. U. Gutterman, C. K. Tashima, G. N. Hortobagyi, T. L. Smith, L. T. Campos, W. L. Wheeler, E. M. Hersh, E. J Freireich, et al. Postoperative Adjuvant Chemotherapy With Fluorouracil, Doxorubicin, Cyclophosphamide, and BCG Vaccine: A Follow-up Report JAMA, October 5, 1979; 242(14): 1509 - 1513. [Abstract] [PDF]
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R. T. Eagan, D. S. Childs Jr, D. D. Layton Jr, E. R. Laws Jr, H. F. Bisel, M. A. Holbrook, and T. R. Fleming Dianhydrogalactitol and Radiation Therapy: Treatment of Supratentorial Glioma JAMA, May 11, 1979; 241(19): 2046 - 2050. [Abstract] [PDF]
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R. I. FISHER, V. T. DeVITA, S. P. HUBBARD, R. SIMON, and R. C. YOUNG Prolonged Disease-Free Survival in Hodgkin's Disease with MOPP Reinduction After First Relapse Ann Intern Med, May 1, 1979; 90(5): 761 - 763. [Abstract] [PDF]
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M. H. Cohen, P. B. Chretien, D. C. Ihde, B. E. Fossieck Jr, R. Makuch, P. A. Bunn Jr, A. V. Johnston, S. E. Shackney, M. J. Matthews, S. D. Lipson, et al. Thymosin Fraction V and Intensive Combination Chemotherapy: Prolonging the Survival of Patients With Small-Cell Lung Cancer JAMA, April 27, 1979; 241(17): 1813 - 1815. [Abstract] [PDF]
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C. S. PORTLOCK and S. A. ROSENBERG No Initial Therapy for Stage III and IV Non-Hodgkin's Lymphomas of Favorable Histologic Types Ann Intern Med, January 1, 1979; 90(1): 10 - 13. [Abstract] [PDF]
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H. M. GOLOMB, D. CATOVSKY, and D. W. GOLDE Hairy Cell Leukemia: A Clinical Review Based on 71 Cases Ann Intern Med, November 1, 1978; 89(5_Part_1): 677 - 683. [Abstract] [PDF]
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C. A. Coltman Jr, G. P. Bodey, J. S. Hewlett, A. Haut, J. Bickers, S. P. Balcerzak, J. J. Costanzi, E. J. Freireich, K. B. McCredie, C. Groppe, et al. Chemotherapy of Acute Leukemia: A Comparison of Vincristine, Cytarabine, and Prednisone Alone and in Combination With Cyclophosphamide or Daunorubicin Arch Intern Med, September 1, 1978; 138(9): 1342 - 1348. [Abstract] [PDF]
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J. G. Krikorian, J. L. Anderson, C. P. Bieber, I. Penn, and E. B. Stinson Malignant Neoplasms Following Cardiac Transplantation JAMA, August 18, 1978; 240(7): 639 - 643. [Abstract] [PDF]
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F. Cabanillas, J. S. Burke, T. L. Smith, T. E. Moon, J. J. Butler, and V. Rodriguez Factors Predicting for Response and Survival in Adults With Advanced Non-Hodgkin's Lymphoma Arch Intern Med, March 1, 1978; 138(3): 413 - 418. [Abstract] [PDF]
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