Page 13 QUESTION FOUR Five types of fertilizers are applied to four varieties of potatoes, each planted on five plots of

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Page 13 Question Four Five Types Of Fertilizers Are Applied To Four Varieties Of Potatoes Each Planted On Five Plots Of 1 (66.5 KiB) Viewed 85 times

Page 13 QUESTION FOUR Five types of fertilizers are applied to four varieties of potatoes, each planted on five plots of the land of the same size and fertility. The yields (in quintals) are shown in the following table: Fertilizers Potatoes 1 2 3 4 5 A 34 38 44 40 42 50 38 46 52 44 B с 42 36 50 46 48 D 38 44 52 36 42 11. For the two-way analysis of variance model with one observation per cell, we write the observation from the j" group and i'block as Y, = 4+B+7,+& (a) Explain each term in the above model in the context of the given information. (b) Consider the observation on fertilizer 3 and potato variety D(Yo3 = 52). i. Estimate 4 Estimate and interpret B Estimate and interpret tz iv. Estimate &p3 (c) Name the blocking variable and the treatment in this experiment (d) What is the purpose of the blocks in this experiment? (e) Prepare a two-way analysis of variance table. (f) Test at the 5% level whether the effects of fertilizers are significant on the yield of potatoes. (g) Test at the 5% level whether the effects of potato varieties are significant on the yield of potatoes. 111. 4