试验设计上机题(4)

8.3 8.5 7.9];

>> top={'因素','甲','乙','丙','丁'}; >> left={'800';'820';'840';'860';'880'}; >> [top;left,num2cell(X)]

ans = '因素' '甲' '乙' '丙' '丁' '800' [4.4000] [5.2000] [4.3000] [4.9000] '820' [5.3000] [ 5] [5.1000] [4.7000] '840' [5.8000] [5.5000] [4.8000] [4.9000] '860' [6.6000] [6.9000] [6.6000] [7.3000] '880' [8.4000] [8.3000] [8.5000] [7.9000] 【2】[p,table,stats]=anova2(X) p = 0.5261 0.0000

table = 'Source' 'SS' 'df' 'MS' 'F' 'Prob>F'

'Columns' [ 0.3200] [ 3] [0.1067] [ 0.7829] [ 0.5261]

'Rows' [36.3970] [ 4] [9.0992] [66.7835] [4.2560e-008]

'Error' [ 1.6350] [12] [0.1362] [] []

'Total' [38.3520] [19] [] [] []

stats =

source: 'anova2' sigmasq: 0.1362

colmeans: [6.1000 6.1800 5.8600 5.9400] coln: 5

rowmeans: [4.7000 5.0250 5.2500 6.8500 8.2750] rown: 4 inter: 0 pval: NaN df: 12

【3】>> [c_B,m_B]=multcompare(stats,'estimate','row') c_B =

1.0000 2.0000 -1.1569 -0.3250 0.5069 1.0000 3.0000 -1.3819 -0.5500 0.2819 1.0000 4.0000 -2.9819 -2.1500 -1.3181 1.0000 5.0000 -4.4069 -3.5750 -2.7431 2.0000 3.0000 -1.0569 -0.2250 0.6069 2.0000 2.0000 3.0000 3.0000 4.0000 m_B =

4.7000 5.0250

5.2500 6.8500 8.2750

4.0000 5.0000 4.0000 5.0000 5.0000 0.1846 0.1846

0.1846

0.1846

0.1846 -2.6569 -4.0819 -2.4319 -3.8569 -2.2569 -1.8250 -3.2500 -1.6000 -3.0250 -1.4250 -0.9931 -2.4181 -0.7681 -2.1931 -0.5931

【4】>> muhat=mean(stats.colmeans) muhat =6.0200

>> stats.rowmeans-muhat*ones(1,5) ans 2.2550

=-1.3200

-0.9950

-0.7700

0.8300

第六题

y??????j??iki2解：（1）试验的统计模型

ijk

i?1,2,3;j?1,2,?,4;k?1,2,?,m.

i.d.N(0,? 诸?ijki.a),

bj?1j 约束条件：??i?0,???0i?1

（2） 首先输入原始矩阵，命令如下：

X=[63.1 63.9 65.6 66.8;65.1 66.4 67.8 69.0;67.2 71.0 71.9 73.5]；

top={'因素','3.3','3.4','3.5','3.6'}； left={'0.03';'0.04';'0.05'}； [top;left,num2cell(X)]

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