SCENARIO 11-6
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.

-Referring to Scenario 11-6,the relative efficiency means that 2.47 times as many observations in each variety group would be needed in a one-way ANOVA design as compared to the randomized block design in order to obtain the same precision for comparison of the variety means.

Question

SCENARIO 11-6
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds.She plants all 3 varieties of the seeds on each of 5 different patches of fields.She then measures the crop yield in bushels per acre.Treating this as a randomized block design,the results are presented in the table that follows.
  
-Referring to Scenario 11-6,the relative efficiency means that 2.47 times as many observations in each variety group would be needed in a one-way ANOVA design as compared to the randomized block design in order to obtain the same precision for comparison of the variety means.

Quizplus · Accepted Answer

Relative efficiency in the context of comparing designs (like one-way ANOVA vs. randomized block design) quantifies how many more observations would be needed in one design to achieve the same level of precision as another, more efficient design. A relative efficiency of 2.47 indicates that the one-way ANOVA would indeed require 2.47 times as many observations per variety group to match the precision of the randomized block design for comparing variety means.

SCENARIO 11-6 An Agronomist Wants to Compare the Crop Yield of 3