The robustness of the covariance analysis of a one-way classification

doi:10.1093/biomet/51.3-4.365

Biometrika 1964 51(3-4):365-372; doi:10.1093/biomet/51.3-4.365
© 1964 by Biometrika Trust

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The robustness of the covariance analysis of a one-way classification

M. ATIQULLAH

University of Dacca East Pakistan

The effect of non-normality and the effect of treatment slopeinteraction in the analysis of covariance is studied. Unlikethe analysis of variance F-test the analysis of covariance F-testis found to be appreciably affected by non-normality even inbalanced classifications. The degree of sensitivity to non-normalityis determined by the distribution of the concomitant variables.The violation of the assumption of no treatment-slope interactiondoes not seem to have serious effect on the F-test in largesamples, but a much more serious effect appears to be that ofa quadratic component of regression on the F-test.

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