Type 1 error of trend tests in proportions and the design of cancer screens

This paper investigates the relationship between the size of the 1inear trend test in proportions Cochran, 1954; Armitage, 1955 and the design of the chronic animal bioassays used as cancer screens. The results indicate that an improper design choice can cause the true size of the test to deviate from its nominal value. These results extend to modifications of the test, including versions which correct for differential survival and continuity.

[1]  D. Cox The Regression Analysis of Binary Sequences , 1958 .

[2]  W. G. Cochran Some Methods for Strengthening the Common χ 2 Tests , 1954 .

[3]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1967 .

[4]  R. Jennrich,et al.  Optimal designs for dose response experiments in cancer research , 1979 .

[5]  S. Wong Design for low dose extrapolation of carcinogenicity data. Technical report No. 24 , 1979 .

[6]  W. Haenszel,et al.  Statistical aspects of the analysis of data from retrospective studies of disease. , 1959, Journal of the National Cancer Institute.

[7]  J Wahrendorf,et al.  Guidelines for simple, sensitive significance tests for carcinogenic effects in long-term animal experiments. , 1980, IARC monographs on the evaluation of the carcinogenic risk of chemicals to humans. Supplement.

[8]  D G Thomas,et al.  Trend and homogeneity analyses of proportions and life table data. , 1977, Computers and biomedical research, an international journal.

[9]  K. Crump Designs for discriminating between binary dose response models with applications to animal carcinocenicity experiments , 1982 .

[10]  J J Gart,et al.  Statistical issues in interpretation of chronic bioassay tests for carcinogenicity. , 1979, Journal of the National Cancer Institute.

[11]  P. Billingsley,et al.  Convergence of Probability Measures , 1969 .

[12]  C. Portier,et al.  Low-dose-rate extrapolation using the multistage model. , 1983, Biometrics.

[13]  D G Hoel,et al.  Statistical analysis of survival experiments. , 1972, Journal of the National Cancer Institute.

[14]  P. Armitage Tests for Linear Trends in Proportions and Frequencies , 1955 .

[15]  John J. Gart,et al.  On the Robustness of Combined Tests for Trends in Proportions , 1980 .

[16]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .