高级生物统计万能模板3因素二次回归几乎正交旋转组合设计
方法一第一步：编码值Xj
Z1
Z2
因素水平编码
(r) 4.055.0m=31 3.446.7r=1.6820 2.534.5mc=8-1 1.622.3m0=9(-r) 1.014.0N=
23
△j
0.9
12.2
第二步：
列出试验实施方案
1111211-131-1141-1-15-1116-11-17-1-118-1-1-19 1.6820010-1.68200110 1.6820120-1.68201300 1.6821400-1.682150001600017000180001900020000210002200023
00
结构矩阵与试验结果计算表
试验号11112111311-1411-15
1-11
试验号试验设计
1
x
2
x 3
x 0
12
61-11
71-1-1
81-1-1
91 1.6820
101-1.6820
1110 1.682
1210-1.682
13100
14100
15100
16100
17100
18100
19100
20100
21100
22100
23100
Bj=18479-45.494548.212
T=32357.8382
K=0.11097E=-0.03789
F-G=0.0625G=0.00044
b0=824.5761405
b1=-3.33107068
b2=40.14008264
b3=-2.66872256
b12=b13=b23=
-5.125-13.875-19.625
b11=b22=b33=
-28.4313-11.98705219 4.987692
方差分析表
变异来源
回归S SR44538.4420394948.715781
剩余S Sr9211.21014813708.5546268
失拟S SLf5793.65459351158.730919
Ssy
53749.6521722
SS df MS
Z3
17.5试验因素因素Z1因素Z2因素Z314.9上水平45517.511.0下水平114 4.5
7.14.53.9
Z1(Zn)Z2(N)Z3(P)
3.446.71
4.93.446.77.13.422.314.93.422.37.11.646.714.91.646.77.11.622.314.91.622.37.14.034.511.01.034.511.02.55
5.011.02.514.011.02.534.517.52.534.5 4.52.534.511.02.534.511.02.534.511.02.534.511.02.534.511.02.534.511.02.534.511.02.534.511.02.534.5
11
X1^X2^
X3^
1111111783-11-1-11118441-11-1111735-1-1-111117781-1-11
1
1
1
816
实施方案
321313
2
-1-11-1
11188211-1-1
111808-1111
1117350000 2.829124
007480000 2.829124
007150000
0 2.82912408610000
0 2.82912406951.682000
00 2.829124844-1.682000
00 2.8291248080000
0008310000
0008540000
0008340000
0007880000
0008310000
0007980000
0008180000
00083900
00
000834
-36.448
-41
-111
-15710520.0110783.1211054.71e -1=0.07322M C -1=
0.125
F=0.06294
b0=824.5761B0=18479b1=-3.33107B1=-45.494b2=40.14008B2=548.212b3=-2.66872B3=-36.448b12=-5.125B12=-41b13=-13.875B13=-111b23=-19.625B23=-157b11=-28.4313B11=10520.01b22=-11.9871B22=10783.12F值
b33=4.987692B33=11054.71
6.984240302**
2.712420383
F0.01= 4.191078F0.05= 3.687499
F
x1yo x2yo x3yo x1x2yo x1x3yo x2x3yo
x0yo
783783783783783783783 844844844-844844-844-844 735735-735735-735735-735 778778-778-778-778-778778 816-816816816-816-816816
882-882882-882-882882-882
808-808-808808808-808-808
735-735-735-735735735735
7481258.13600000
715-1202.6300000
86101448.2020000
6950-1168.990000
844001419.608000
80800-1359.06000
831000000
854000000
834000000
788000000
831000000
798000000
818000000
839000000
834000000 b*B
15237342
151.5437
22005.27
97.2696
210.125
1540.125
3081.125
-299098
-129258
55137.5
X1^yo X2^yo X3^yo
783783783
844844844
735735735
778778778
816816816
882882882
808808808
735735735 2116.18500 2022.82400
02435.8760
01966.2410
002387.781
002285.932
000
000
000
000
000
000
000
000
000