Permutational distribution of the log-rank statistic under random censorship with applications to carcinogenicity assays

Biometrics

Volumn 54, Issue 1, 1998, Pages 168-184

  Heimann, G ^a   Neuhaus, G ^b  

^a BAYER PHARMA AG   (Germany)

^b UNIVERSITY OF HAMBURG   (Germany)

Author keywords

Assessment of exact methods; Log rank test; Permutational distribution; Small tumor numbers

Indexed keywords

BIOASSAY;

ASSESSMENT OF EXACT METHOD; CONTROL GROUPS; CRITICAL VALUE; EXACT METHODS; LOG-RANK TEST; PERMUTATIONAL DISTRIBUTION; RANK STATISTICS; RANK TEST; SMALL TUMOR NUMBER; SMALL TUMORS;

TUMORS;

ARTICLE; CARCINOGENICITY; CONTROLLED STUDY; DATA ANALYSIS; PROBABILITY; RANDOMIZATION; SIMULATION; STANDARDIZATION; STATISTICAL ANALYSIS; STATISTICAL MODEL;

EID: 0031946424     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2534005     Document Type: Article

References (9)

1. Ali, M. W. (1990). Exact versus asymptotic tests of trend of tumor prevalence in tumorigenicity experiments: A comparison of p-values for small frequency of tumors. Drug Information Journal 24, 727-737.
2. Chen, J. J. and Gaylor, D. W. (1980). The upper percentiles of the distributrion of the log-rank statistics for small number of tumors. Communications in Statistics, Simulations 15(4), 991-1002.
3. Gehan, E. A. (1965). A generalized Wilcoxon test for comparing arbitrarily singly censored data. Biometrika 52, 650-654.
4. Gill, R. D. (1980). Censoring and Stochastic Integrals. Mathematics Centre Tracts 124. Amsterdam: Mathematisch Centrum.
5. Kellerer, A. M. and Chmelevsky, D. (1983). Small sample properties of censored-data rank tests. Biometrics 29, 675-682.
6. Neuhaus, G. (1992). Conditional rank tests in the two sample problem under random censorship. In Proceedings of the 4th International Meeting of Statisticians in the Basque Country, M. L. Puri and J. P. Vilaplana (eds), 127-138. Zeist: VSP International Science Publishers.
7. Neuhaus, G. (1993). Conditional rank tests in the two sample problem under random censorship. Annals of Statistics 21, 1760-1779.
8. Peto, R., Pike, M. C., Day, N. E., Gray, R. G., Lee, P. N., Parish, S., Peto, J., Richards, S., and Wahrendorf, J. (1980). Guidelines for simple, sensitive significance tests for carcinogenicity effects in long term animal experiments. In Long Term and Short Term Screening Assays for Carcinogens: A Critical Appraisal. IARC Monograph on the Evaluation of the Carcenogenic Risk of Chemicals to Humans, Annex to Supplement 2, 311-426. Geneva: World Health Organization.
9. Soper, K. A. and Tonkonoh, N. (1993). The discrete distribution used for the log-rank test can be inaccurate. Biometrical Journal 35, 291-298.