In two-way ANOVA, it is possible for all or none, or any combination in between, of the F values to be significant.

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This is because each F value tests a different source of variation (main effects and interactions), and the significance of each can vary depending on the specific data and research question being investigated. It is possible for only one or two F values to be significant, or for all of them to be significant. Therefore, it is important to interpret and report all F values in a two-way ANOVA.

In Two-Way ANOVA, It Is Possible for All or None