Rank Analysis of Covariance: Alternative Approaches

Alternative methods of rank ANCOVA are reviewed with regard to power and efficiency properties. A particular method based on mean rank residuals is outlined and compared with mean rank and robust alternatives.

[1]  D. A. Williams,et al.  The comparison of several dose levels with a zero dose control. , 1972, Biometrics.

[2]  Rupert G. Miller Simultaneous Statistical Inference , 1966 .

[3]  Eryl A. C. Shirley,et al.  A Distribution‐Free Method for Analysis of Covariance Based on Ranked Data , 1981 .

[4]  B. Hamilton A Monte Carlo Test of the Robustness of Parametric and Nonparametric Analysis of Covariance Against Unequal Regression Slopes , 1976 .

[5]  W. C. Guenther,et al.  Analysis of variance , 1968, The Mathematical Gazette.

[6]  Pranab Kumar Sen,et al.  Analysis of Covariance Based on General Rank Scores , 1969 .

[7]  B. M. Bennett Rank-order Tests of Linear Hypotheses , 1968 .

[8]  Pranab Kumar Sen,et al.  Non-Parametric Methods in Multivariate Analysis , 1974 .

[9]  Bradley E. Huitema,et al.  The analysis of covariance and alternatives , 1980 .

[10]  Thomas P. Hettmansperger,et al.  Tests of hypotheses based on ranks in the general linear model , 1976 .

[11]  Williams Da,et al.  The comparison of several dose levels with a zero dose control. , 1972 .

[12]  A. Gayen The distribution of the variance ratio in random samples of any size drawn from non-normal universes. , 1950, Biometrika.

[13]  Dana Quade,et al.  Rank Analysis of Covariance , 1967 .

[14]  E Shirley,et al.  A non-parametric equivalent of Williams' test for contrasting increasing dose levels of a treatment. , 1977, Biometrics.

[15]  P. Sen,et al.  Theory of rank tests , 1969 .

[16]  Thomas P. Hettmansperger,et al.  A Robust Alternative Based on Ranks to Least Squares in Analyzing Linear Models , 1977 .

[17]  P. Sen,et al.  Nonparametric methods in multivariate analysis , 1974 .

[18]  P. J. Huber Robust Regression: Asymptotics, Conjectures and Monte Carlo , 1973 .

[19]  Dana Quade,et al.  On Analysis of Variance for the $K$-Sample Problem , 1966 .