[試題] 97下 關秉宗 統計學下 期中考
課程名稱︰統計學下
課程性質︰森林系必修
課程教師︰關秉宗
開課學院：生農學院
開課系所︰神經認知學程 森林環境暨資源學系
考試日期（年月日）︰2009/4/16
考試時限（分鐘）：三小時
是否需發放獎勵金：好啊
I. An animal ecologist suggests three methods to prevent squirrels
from damaging Cryptomeria planations. To determine the effecti-
veness of the three methods, a small experiement was conducted
with "9" replications for each treatment(method). The "Treatment
Total" of each method is listed below. Mean square error (MSE) of
the experiment is 60. Please
1) state an appropriate model and its assumptions,
2) state the null and alternative hypotheses, and
3) construct a complete ANOVA table based on the given information
and state your conclusions. Let the type I error rate of the test
be 0.05. Assuming all the regular assumptions hold. (30%)
－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
Method
__________________________
I II III
Treatment Total 234 324 189
－－－－－－－－－－－－－－－－－－－－－－－－－－－－－
II. The analysis of variance table below represents part of the calcuation
for testing the null hypothesis u1= u2= u3= u4= u5. Complete the
table and test the null hypothesis at alpha= 0.01. (20%)
┌───┬─┬──┬──┬───┐
│SOV │df│ SS │ MS │ F* │
├───┼─┼──┼──┼───┤
│Model │ │ 40 │ │ │
├───┼─┼──┼──┼───┤
│Error │ │ │ │ │
├───┼─┼──┼──┼───┤
│Total │16│160 │ │ │
└───┴─┴──┴──┴───┘
III. I conducted an experiment to compare the effects of three fertilizers
on the growth of a species, and I obtained the following results.
Treatment n Treat mean
T1 5 0.082
T2 5 0.813
T3 5 0.234
The SSE is 0.0413
Please onstruct an ANOVA Tablefor the above data and state your conclu-
sions. (20%)
IV. I have conducted an experiment using a CRD design with three treatments.
The following are the results of my experiment. Please tell me whether
my treatment means are different at alpha= 0.05 level. Please also include
the model as well as the assumptions of the model that you have usedin
analyzing my data. (30%) 此題幾乎每年都考
T1: 3 5 4 4
T2: 3 4 2 3 2
T3: 5 5 7
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