For a two-way classification of means by factors A and B, at each level of B the

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For a two-way classification of means by factors A and B, at each level of B the means are equal for the levels of A. Does this imply that the overall means are equal at the various levels of A, ignoring B? Explain the implications, in terms of how results may differ between two-way ANOVA and one-way ANOVA.

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