Randomized block ANOVA should not be used to test the significance of the blocking factor. Under these circumstances, a two- way ANOVA procedure is more appropriate.

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Randomized block ANOVA is designed to remove the variability due to the blocking factor from the error term to increase the test's power for the factor of interest, not to test the significance of the blocking factor itself. A two-way ANOVA allows for the testing of the main effects of two factors and their interaction, making it suitable for assessing the significance of the blocking factor alongside another factor.

Randomized Block ANOVA Should Not Be Used to Test the Significance