National Toxicology Program

Bailer, A.J., and Portier, C.J. (1988). Effects of treatment-induced mortality and tumor-induced mortality on tests for carcinogenicity in small samples. Biometrics 44, 417-431.

Bieler G.S., and Williams, R.L. (1993). Ratio estimates, the delta method, and quantal response tests for increased carcinogenicity. Biometrics 49, 793-801

Cox, D.R. (1972). Regression models and life-tables. J.R. Stat. Soc. B34, 187-220

Dixon, W.J., and Massey, F.J., Jr. (1951). Introduction to Statistical Analysis, 1st ed., pp. 145-147.

Dunn, O.J. (1964). Multiple comparisons using rank sums. Technometrics 6, 241-252.

Dunnett, C.W. (1955). A multiple comparison procedure for comparing several treatments with a control. J. Am. Stat. Assoc. 50, 1096-1121.

Hollander, M., and Wolfe, D.A. (1973). Nonparametric Statistical Methods, pp. 120-123. John Wiley and Sons, New York.

Jonckheere, A.R. (1954). A distribution-free k-sample test against ordered alternatives. Biometricka 41, 133-145.

Kaplan, E.L., and Meier, P. (1958). Nonparametric estimation from incomplete observations. J. Am. Stat. Assoc. 53, 457-481

Morrison, D.F. (1976). Multivariate Statistical Methods, 2nd ed., pp. 170-179.

Piegorsch, W.W., and Bailer, A.J. (1997). Statistics for Environmental Biology and Toxicology, Section 6.3.2. Chapman and Hall, London.

Portier, C.J., and Bailer, A.J. (1989). Testing for increased carcinogenicity using a survival-adjusted quantal response test. Fundam. Appl. Toxicol. 12, 731-737.

Portier, C.J., Hedges, J.C., and Hoel, D.G. (1986). Age-specific models of mortality and tumor onset for historical control animals in the National Toxicology Program's carcinogenicity experiments. Cancer Res. 46, 4372-4378.

Shirley, E. (1977). A non-parametric equivalent of Williams' test for contrasting increasing dose levels of a treatment. Biometrics 33, 386-389.

Tarone, R.E. (1975). Tests for trend in life table analysis. Biometrika 62, 679-682.

Williams, D.A. (1971). A test for differences between treatment means when several dose levels are compared with a zero dose control. Biometrics 27, 103-117.

Williams, D.A. (1972). The comparison of several dose levels with a zero dose control. Biometrics 28, 519-531.

Williams, D.A. (1986). A note on Shirley's nonparametric test for comparing several dose levels with a zero-dose control. Biometrics 42, 182-186.