Three fertilizers are studied for their effect on yield in an orange grove. Nine

Question

Three fertilizers are studied for their effect on yield in an orange grove. Nine plots of land are used, divided into blocks of three plots each. A randomized complete block design is used, with each fertilizer applied once in each block. The results, in pounds of harvested fruit, are presented in the following table. Use a statistical software package to perform the two-way ANOVA. Can we conclude that the mean yields differ among fertilizers? What assumption is made about interactions between fertilizer and plot? How is the sum of squares for error computed? A. There is no interaction between the fertilizer and the blocking factor (plot), so that the main effects of fertilizer can be interpreted. B. There is interaction between the fertilizer and the blocking factor (plot), so that the main effects of fertilizer can be interpreted. C. There is no interaction between the fertilizer and the blocking factor (plot), so that the main effects of fertilizer cannot be interpreted. D. There is interaction between the fertilizer and the blocking factor (plot), so that the main effects of fertilizer cannot be interpreted.

Explanation / Answer

In order to test for the main effect of fertilizer we need to assume that the interaction effect is absent

So Option-A is the answer

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