An empirical study of the power of the F test in normal populations with variances proportional to the cell means is reported. The results indicate that the power of the test can be approximated by the noncentral F distribution with a modified parameter of noncentrality.
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References
1.
Donaldson, T. S.Robustness of the F test to errors of both kinds and the correlation between the numerator and denominator of the F ratio . Journal of the American Statistical Association, 1968, 63, 660-676.
2.
Glass, G. V. , Peckham, P. D., and Sanders, J. R.Consequences of failure to meet assumptions underlying the analysis of variance and covariance. Review of Educational Research, 1972, 42, 237-288.
3.
Horsnell, G.The effect of unequal group variances on the F test for the homogeneity of group means . Biometrika, 1953, 40, 128-136.
4.
Lunney, G. H.Using analysis of variance with a dichotomous dependent variable: An empirical study . Journal of Educational Measurement, 1970, 7, 263-269.
