实验设计与数据处理第六章例题及课后习题答案
例题6-8
(C)催化剂种类
因素水平表水平(A)温度/℃(B)碱用量/kg
18085甲
28548乙
39055丙
L9(34)试验号ABCy
1111151
2122271
3133358
4212382
5223169
6231259
7313277
8321385
9332184K1180210195204
K2210225237207
K3246201204225
k160706568
k270757969
k382676875
极差R228147
趋势图工作表8060 Array 8570
9082
4875
5567
8570
甲65
乙79
丙68
例题6-13
(D)废水浓度
因素水平表水平(A)ph值(B)凝聚剂(C)沉淀剂
17-8加Naoh稀
28-9不加Na2CO3浓
39-10
410-11
L8(41×24)试验号A B C D空列得分yi
11111145
21222270
32112255
42221165
53121285
63212195
74122190
842112100 K1115275295295295
K2120330310310310
K3180
K4190
k157.568.873.873.873.8
k260.082.577.577.577.5
k390.0
k495.0
极差R37.513.8 3.8 3.8 3.8
SS2309.375378.12528.12528.12528.125
总和T605
P=T2/n45753.13
方差分析表
差异源SS df MS F显著性
A2309.3753769.79227.3704*
B378.1251378.12513.4444*
C28.125128.125
D28.125128.125
误差e28.125128.125
误差eΔ84.375328.125
F0.05(3,3)9.277F0.01(3,3)29.457
F0.05(1,3)10.128F0.01(1,3)34.116
习题6.1
水平(A)溶剂浓度(B)反应温度/℃?保温时间/h
1601403
2801602
31001801
L9(34)试验号ABCy
1
1111 5.32
122253
1333 4.94
2123 5.45
2231 6.46
2312 3.77
3132 3.98
3213 3.39
3321 2.4K1
15.214.612.314.1K2
15.514.712.812.6K3
9.61115.213.6k1
5.066667 4.866666667 4.1 4.7k2
5.166667 4.9 4.26667 4.2k3
3.2 3.666666667 5.06667
4.53333极差R
1.966667 1.2333333330.966670.5因素主→次
优方案
趋势图工作表60
5.06666780
5.166667100
3.2140
4.866667160
4.9180
3.6666671
5.0666672
4.2666673 4.1习题6.2水平(A)反应温度(B)CU2+与氨水质?CuSO4溶液浓度/(g/ml)17001:00.00.12528001:00.50.539001:00.51L9(34)试验号ABC
转换率111
1140.26212
2240.463133361.79ABC A2B2C2
4
212360.155
223173.976
231291.317
313273.528
321387.199
332197.26K1
142.51173.93218.76211.49K2
225.43201.62197.87205.29K3
257.97250.36209.28209.13k1
47.5033333357.976772.9270.497k2
75.1433333367.206765.956768.43k3
85.9983.453369.7669.71极差R
38.4866666725.4767 6.96333 2.0667因素主→次
优方案
K1 4.47
4.846
5.898 5.445K2 5.684
3.421 3.813 5.01K3
4.481
6.368 4.924 4.18k1 1.49
1.61533 1.966 1.815k2 1.894666667
1.14033 1.271 1.67k3 1.493666667
2.12267 1.64133 1.3933极差R0.404666667
0.982330.6950.4217因素主→次
优方案
最终优方案A3B2C2
习题6.3
L9(34)试验号
ABC包合率包合物收率1
111112.0161.82
122215.8684.313
133316.9580.154
21238.667.235
223113.7177.266
23127.2276.537
3132 6.5458.618
32137.7878.129
3321 5.4377.6
K1
2.270840.74943823 1.19055 1.40944K2
1.39293
2.090804961 1.53806 1.37318K3
0.77943 1.602956793 1.71459 1.66057k1
0.7569470.2498127430.396850.46981k2
0.464310.6969349870.512690.45773k3
0.259810.5343189310.571530.55352极差R
0.4971370.4471222440.174680.0958因素主→次
优方案ABC A3B3C1BCA B2C2A1转换率铜粉松密度ABC A1B2C3
习题6.4
L8(27)试验号A B A×B C空列空列
1111111
2111222
3122112
4122221
5212121
6212212
7221122
8221211 K1283282268268276275
K2272273287287279280
k170.7570.567676968.75
k26868.2571.7571.7569.7570
极差R119191935
A*B C A B D
因素主→次
因素A*B水平搭配表
A1A2
B169.571.5
B27264.5
习题6-5
L8(41×24)试验号A B C D空列得分yi
111111195
212222205
321122220
422211225
531212210
632121215
741221185
842112190 K1400810820820820
K2445835825825825
K3425
K4375
k1200.0202.5205.0205.0205.0
k2222.5208.8206.3206.3206.3
k3
212.5k4
187.5极差R
35.0 6.3 1.3 1.3 1.3因素主→次
优方案
习题6-6
L 9(34)实验号
C C(虚拟)B A
D 酸洗时间/min 1
11111362
11222323
11333204
22123225
22231346
22312217
23132168
23213199
2332137K1
887476107K2
149859169K3
787061k1
29.3333324.666725.333335.667k2
24.8333328.333330.333323k3
2623.333320.333极差R
-4.5 3.77.015.3因素主→次
优方案习题6-7
L 8(27)试验号
A B A×B C A×C B×C 1
1111112
1112223
1221124
1222215
2121216
2122127
2211228
221211K1
4.53 4.17 3.66 3.93 3.5 3.66K2
3.15 3.51
4.02 3.75 4.18 4.02k1
1.1325 1.04250.9150.98250.8750.915k2
0.78750.8775 1.0050.9375 1.045 1.005极差R
1.380.660.36-0.180.680.36因素主→次A BCD或者ABDC A 2B2C2D2或A2B2D2C2DABC D3A3B1C2
A A×C
B D A×B B×
C C 或 A A×C B
D B×C A×B
因素A×C水平搭配表
A1A2
C1 1.070.895
C2 1.1950.68
因素B×C水平搭配表
B1B2
C1 1.020.945
C2 1.0650.81
习题6-8
123456试验号
L27(313)A B(A×B)1(A×B)2C(A×C)1
1111111
2111122
3111133
4122211
5122222
6122233
7133311
8133322
9133333
10212312
11212323
12212331
13223112
14223123
15223131
16231212
17231223
18231231
19313213
20313221
21313232
22321313
23321321
24321332
25332113
26332121
27332132 K1879800795807796800
K2785790807790802792
K3732806794799798804
极差R147161317612
SS1231.6314.5185185211.629616.0741 2.07418.2963
总和T2396
P=T2/n212622.8
方差分析表
差异源SS df MS F显著性
A1231.632615.815218.776**
B14.5185227.25926 2.57895
AB27.70374 6.92593 2.46053
C 2.0740742 1.037040.36842
AC28.1481547.03704 2.5
D312.51852156.25955.5132**
BC56.59259414.1481 5.02632*
E107.1852253.592619.0395*
F 3.629632 1.814810.64474
误差e11.185192 5.59259
误差eΔ16.888896 2.81481
F0.05(2,6) 5.14F0.01(2,6)10.52
F0.05(4,6) 4.53F0.01(4,6)9.15
水平搭配表B1B2B3
C1868891.33333333
C29088.6666788.66666667
C390.666666786.6666788.66666667
A1D1E1B3C1
优方案
习题6-9
L9(34)试验号ABCy
11111 5.3
212225
31333 4.9
42123 5.4
52231 6.4
62312 3.7
73132 3.9
83213 3.3
93321 2.4
K115.214.612.314.1
K215.514.712.812.6
K39.61115.213.6
极差R 5.9 3.7 2.9 1.5
SS7.362222 2.962222222 1.602220.38889SST=
总和T40.3
P=T2/n180.4544
方差分析表
差异源SS df MS F显著性
A7.3622222 3.6811118.9314
B 2.9622222 1.481117.61714
C 1.60222220.80111 4.12
误差e0.38888920.19444
误差eΔ0.38888920.19444
F0.05(2,2)19
习题6-10
L8(41×24)试验号A B C D空列得分yi
111111195
212222205
321122220
422211225
531212210
632121215
741221185
842112190 K1400810820820820
K2445835825825825
K3425
K4375
极差R70.025.0 5.0 5.0 5.0
SS1384.37578.125 3.125 3.125 3.125SST=
总和T1645
P=T2/n338253.1
方差分析表
差异源SS df MS F显著性
A1384.3753461.458147.667**
B78.125178.12525*
C 3.1251 3.1251
D 3.1251 3.1251
误差e 3.1251 3.125
误差eΔ9.3753 3.125
F0.05(1,3)10.13F0.01(1,3)34.12
F0.05(3,3)9.28F0.01(3,3)29.46
习题6-11
L9(34)实验号C C(虚拟)B A D酸洗时间/min
11111136
21122232
31133320
42212322
52223134
62231221
72313216
82321319
92332137 K1887476107
K2149859169
K3787061
SS40.520.666778402.67SST=
总和T237
P=T2/n6241
方差分析表
差异源SS df MS F显著性
A7823918.72
B20.66667210.3333 4.96
C40.5140.519.44*
D402.66672201.33396.64**
误差e 4.1666672 2.08333
误差eΔ 4.1666672 2.08333
F0.05(2,2)19F0.01(2,2)39
F0.05(1,2)18.51F0.01(1,2)38.51
铜粉松密度
2.008
0.693
1.769
1.296
1.613
2.775
1.542
1.115
1.824
包合物收率综合分包合率隶属
0.571180.124120.392 0.9053810.943
10.838130.935 0.275170.335410.299 0.718750.725680.722 0.155380.697280.372 0.0963500.058 0.203990.759140.426
00.738910.296
D得率/%
165
274
271
173
270
173
162
267
273
282
68.25
70.5
9
时间/min
D提取量/mL
1 1.01
2 1.33
2 1.13
1 1.06
2 1.03
10.8
10.76
20.56
3.63
4.05
0.9075
1.0125
0.42
A×B C
78910111213
(A×C)2(B×C)1D(B×C)2E F
抗压强度/kg.cm-2 1111111100
222222298
333333397
122233395
233311196
311122299
133322294
211133399
3222111101
312312385
123123182
231231298
323131285
131212390
212323185
331223191
112331289
223112380
213213273
321321390
132132177
221332184
332113280
113221376
232121389
313232178
121313285 788784836791790824794
802800799800804785801
806812761805802787801
1828751414397
19.851943.8519312.511.1912.7407107.2 3.63SST=1795.185
12.3156 1471.88
时间/min
546