Three fertilizers are studied for Question are used, their effect on yield in an

Question

Three fertilizers are studied for Question are used, their effect on yield in an orange grove. Nine plots of land Assistance divided into blocks of three plots each. A randomized complete block desigu is used, with each fertilizer applied once in each block. The results, in pounds of harvested E 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? Fertilizer Plot 1 Plot 2 Plot 3 422 546 296 374 467 262 310 427 216 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. References

Explanation / Answer

applying two way ANOVA on abive:

as p vlaue is significant

hence option B is correct

Source of Variation SS df MS F P-value F crit fertilizer 16126.89 2 8063.444 43.24851 0.001954 6.944272 Plot 73926.22 2 36963.11 198.2527 9.97E-05 6.944272 Error 745.7778 4 186.4444 Total 90798.89 8

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