申論 1某研究人員擬比較一毛豆新品種(New)與目前栽培面積較廣的三個品種(A,B,C)之生產力。為了提高對新品種之平均產量的估計精密度,他採用廣義的隨機完全區集設計(Generalized Randomized Complete Block Design)佈置其田間試驗:將試驗田劃分為4 個區集(blocks),每個區集各含6 個小區(plots);在每個區集內隨機以其中的3 個小區配置A、B、C 三個品種,其餘的3 個小區則皆配置新品種。試驗後獲得的小區產量(kg/plot)如下:VarietyBlock New A B CVarietal Mean 90.2583.50 86.25 83.25請據此完成下列變方分析表,並詮釋F 測驗的結果。(25 分)Source SS DF Mean Square F valueTotal 2076.958323Block 439.12503146.3750 ?Variety 232.2083377.4028 ?New vs. A? (1)? ?New vs. B?(1)? ?New vs. C?(1)? ?Residual ? ??Block×Variety??? ?Pure Error ???註:F=.532,F=.407,F=.339,(.095,df=,1df=8)(.095,df=,3df=8)(.095,df=,9df=8)F=.445,F=.320,F=.249.(.095,df=,1df=17)(.095,df=,3df=17)(.095,df=,9df=17)