Задачи для решения

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Задачи для решения

1. Провести обработку и анализ результатов ЦКОП (табл. 8.8) для двух факторов (N=9) по рассмотренной методике.

В каждом варианте приведены результаты проведения пяти параллельных опытов (Y₁_Y₂_Y₃_Y₄_Y₅_).

Таблица8.8

Номер опыта	X_0б	X_1б	X_2б	X_1бX_2б	X²_1б	X²_2б	Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
1	+1	–1	–1	+1	+1	+1
2	+1	+1	–1	–1	+1	+1
3	+1	–1	+1	–1	+1	+1
4	+1	+1	+1	+1	+1	+1
5	+1	–1,00	0	0	1,00	0
6	+1	+1,00	0	0	1,00	0
7	+1	0	–1,00	0	0	1,00
8	+1	0	+1,00	0	0	1,00
9	+1	0	0	0	0	0

Вариант 1

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
3,004	3,031	3,035	3,039	3,001
5,193	5,152	5,177	5,209	5,151
3,927	3,950	3,936	3,898	3,897
7,141	7,099	7,111	7,138	7,097
4,684	4,697	4,688	4,730	4,729
9,135	9,123	9,166	9,134	9,117
6,371	6,403	6,343	6,339	6,337
14,672	14,680	14,695	14,668	14,672
5,828	5,847	5,842	5,905	5,886

Вариант 2

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
3,651	3,605	3,653	3,592	3,627
6,547	6,514	6,535	6,562	6,581
4,761	4,793	4,816	4,792	4,801
9,515	9,566	9,534	9,552	9,528
5,828	5,847	5,842	5,905	5,886
13,041	13,081	13,051	13,089	13,063
8,364	8,371	8,338	8,365	8,366
25,575	25,563	25,611	25,578	25,534
5,081	5,148	5,123	5,092	5,073

Вариант 3

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
2,124	2,150	2,139	2,140	2,157
3,382	3,394	3,368	3,374	3,372
2,705	2,652	2,655	2,674	2,713
4,307	4,242	4,276	4,317	4,255
3,107	3,089	3,096	3,119	3,137
5,081	5,148	5,123	5,092	5,073
3,948	3,901	3,914	3,951	3,919
6,873	6,920	6,932	6,858	6,869
6,718	6,752	6,760	6,709	6,743

Вариант 4

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
2,588	2,597	2,542	2,537	2,539
4,191	4,165	4,152	4,129	4,138
3,201	3,231	3,202	3,199	3,248
5,509	5,453	5,448	5,511	5,445
3,793	3,830	3,850	3,789	3,852
6,718	6,752	6,760	6,709	6,743
4,963	4,966	5,001	4,952	5,007
9,738	9,753	9,702	9,746	9,737
7,094	7,126	7,149	7,102	7,158

Вариант 5

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
3,072	3,028	3,080	3,049	3,069
5,193	5,159	5,163	5,220	5,168
3,932	3,955	3,893	3,915	3,939
7,094	7,126	7,149	7,102	7,158
4,740	4,704	4,668	4,698	4,724
9,163	9,167	9,160	9,133	9,191
6,336	6,396	6,369	6,405	6,357
14,676	14,668	14,725	14,722	14,741
8,385	8,390	8,404	8,421	8,390

Вариант 6

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
4,292	4,285	4,333	4,304	4,277
8,385	8,390	8,404	8,421	8,390
5,881	5,886	5,847	5,900	5,909
13,349	13,332	13,357	13,342	13,356
7,389	7,368	7,439	7,419	7,442
20,252	20,271	20,271	20,258	20,310
11,282	11,269	11,293	11,249	11,254
66,571	66,613	66,562	66,585	66,620
7,379	7,415	7,415	7,368	7,368

Вариант 7

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
4,307	4,284	4,284	4,316	4,286
8,387	8,396	8,430	8,389	8,404
5,832	5,873	5,856	5,843	5,862
13,329	13,304	13,328	13,340	13,312
7,379	7,415	7,415	7,368	7,368
20,255	20,278	20,304	20,279	20,261
11,226	11,238	11,271	11,234	11,273
66,599	66,605	66,588	66,595	66,562
13,040	13,011	13,045	13,061	13,036

Вариант 8

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
3,583	3,605	3,623	3,623	3,587
6,555	6,564	6,523	6,559	6,511
4,795	4,790	4,776	4,798	4,744
9,504	9,530	9,524	9,557	9,530
5,855	5,839	5,827	5,881	5,863
13,040	13,011	13,045	13,061	13,036
8,328	8,301	8,303	8,319	8,310
25,586	25,544	25,578	25,562	25,556
4,701	4,682	4,690	4,718	4,719

Вариант 9

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
3,054	3,032	3,024	3,046	3,019
5,147	5,170	5,178	5,190	5,177
3,926	3,895	3,937	3,931	3,915
7,117	7,121	7,101	7,130	7,091
4,701	4,682	4,690	4,718	4,719
9,150	9,159	9,115	9,162	9,156
6,390	6,383	6,384	6,378	6,378
14,677	14,670	14,718	14,690	14,693
6,721	6,714	6,741	6,704	6,722

Вариант 10

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
2,549	2,537	2,563	2,564	2,569
4,118	4,164	4,155	4,126	4,151
3,236	3,220	3,202	3,212	3,207
5,445	5,485	5,449	5,472	5,455
3,825	3,812	3,790	3,782	3,781
6,721	6,714	6,741	6,704	6,722
4,951	4,989	4,955	4,941	4,981
9,735	9,693	9,705	9,711	9,726
3,950	3,932	3,908	3,935	3,901

Вариант 11

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
2,164	2,165	2,145	2,150	2,163
3,347	3,338	3,322	3,318	3,358
2,639	2,658	2,651	2,648	2,670
4,281	4,251	4,296	4,276	4,269
3,086	3,084	3,081	3,122	3,068
5,082	5,128	5,117	5,106	5,078
3,950	3,932	3,908	3,935	3,901
6,855	6,870	6,875	6,872	6,907
2,788	2,823	2,815	2,777	2,773

Вариант 12

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
1,983	1,951	1,969	1,981	1,935
3,004	3,024	2,984	2,983	3,007
2,435	2,415	2,428	2,394	2,438
3,767	3,794	3,784	3,783	3,803
2,788	2,823	2,815	2,777	2,773
4,491	4,467	4,492	4,473	4,460
3,485	3,510	3,515	3,524	3,475
5,883	5,879	5,863	5,870	5,877
5,083	5,076	5,136	5,098	5,140

Вариант 13

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
2,132	2,114	2,160	2,146	2,120
3,373	3,324	3,377	3,327	3,385
2,708	2,645	2,657	2,645	2,657
4,277	4,254	4,311	4,288	4,265
3,075	3,074	3,090	3,099	3,096
5,083	5,076	5,136	5,098	5,140
3,978	3,928	3,905	3,948	3,904
6,898	6,908	6,887	6,940	6,904
3,781	3,808	3,820	3,814	3,842

Вариант 14

Y₁_	Y₂_	Y₃_	Y₄_	Y₅_
2,567	2,587	2,585	2,527	2,583
4,148	4,183	4,155	4,144	4,169
3,234	3,259	3,216	3,240	3,200
5,458	5,485	5,490	5,513	5,469
3,781	3,808	3,820	3,814	3,842
6,713	6,722	6,750	6,751	6,700
4,998	4,949	4,950	4,947	4,968
9,758	9,689	9,701	9,711	9,686
9,178	9,194	9,157	9,159	9,121

2. Провести обработку и анализ результатов ЦКРП (табл. 8.5) для трех факторов (N=20) по рассмотренной методике.

В каждом варианте приведены результаты проведения пяти параллельных опытов (Y₁_Y₂_Y₃_Y₄_).

Вариант 1

-2.794 -2.836 -2.837 -2.751 -2.769

5.059 5.118 5.135 4.983 5.025

0.943 0.911 0.929 0.941 0.895

3.387 3.225 3.428 3.35 3.288

8.127 8.153 8.238 8.212 8.1

10.69 10.6 10.59 10.77 10.64

5.547 5.503 5.599 5.53 5.484

2.874 2.9 2.889 2.89 2.907

0.148 0.130 0.176 0.162 0.136

13.01 13.01 12.99 12.99 13.01

3.835 3.815 3.828 3.794 3.838

0.985 0.964 0.972 1.04 0.968

9.451 9.483 9.368 9.353 9.319

2.659 2.647 2.673 2.674 2.679

2.677 2.697 2.695 2.637 2.693

2.698 2.707 2.652 2.647 2.649

2.749 2.768 2.761 2.758 2.78

2.815 2.762 2.765 2.784 2.823

2.818 2.755 2.767 2.755 2.767

2.898 2.933 2.925 2.887 2.883

Вариант 2

-1.694 -1.736 -1.737 -1.651 -1.669

12.16 12.22 12.24 12.08 12.13

4.043 4.011 4.029 4.041 3.995

8.487 8.325 8.528 8.45 8.388

13.23 13.25 13.34 13.31 13.2

17.79 17.7 17.69 17.87 17.74

8.647 8.603 8.699 8.63 8.584

3.974 4 3.989 3.99 4.007

-0.433 -0.451 -0.405 -0.419 -0.445

23.13 23.13 23.11 23.11 23.13

6.082 6.062 6.075 6.041 6.085

7.743 7.722 7.73 7.801 7.726

16.21 16.24 16.12 16.11 16.08

3.759 3.747 3.773 3.774 3.779

3.777 3.797 3.795 3.737 3.793

3.798 3.807 3.752 3.747 3.749

3.849 3.868 3.861 3.858 3.88

3.915 3.862 3.865 3.884 3.923

3.918 3.855 3.867 3.855 3.867

3.998 4.033 4.025 3.987 3.983

Вариант 3

-8.114 -8.156 -8.157 -8.071 -8.089

7.739 7.798 7.815 7.663 7.705

-2.377 -2.409 -2.391 -2.379 -2.425

4.067 3.905 4.108 4.03 3.968

8.807 8.833 8.918 8.892 8.78

15.37 15.28 15.27 15.45 15.32

4.227 4.183 4.279 4.21 4.164

1.554 1.58 1.569 1.57 1.587

-4.535 -4.553 -4.507 -4.521 -4.547

19.56 19.56 19.54 19.55 19.56

0.833 0.813 0.826 0.792 0.836

0.812 0.791 0.799 0.870 0.795

12.64 12.67 12.56 12.54 12.51

1.339 1.327 1.353 1.354 1.359

1.357 1.377 1.375 1.317 1.373

1.378 1.387 1.332 1.327 1.329

1.429 1.448 1.441 1.438 1.46

1.495 1.442 1.445 1.464 1.503

1.498 1.435 1.447 1.435 1.447

1.578 1.613 1.605 1.567 1.563

Вариант 4

-0.248 -0.29 -0.291 -0.205 -0.223

7.205 7.264 7.281 7.129 7.171

7.981 7.949 7.967 7.979 7.933

14.03 13.86 14.07 13.99 13.93

6.849 6.875 6.96 6.934 6.822

5.007 4.917 4.91 5.093 4.958

4.761 4.717 4.813 4.744 4.698

1.688 1.714 1.703 1.704 1.721

0.164 0.146 0.192 0.178 0.152

8.574 8.575 8.555 8.56 8.573

10.12 10.1 10.11 10.08 10.12

10.07 10.05 10.06 10.13 10.06

5.38 5.412 5.297 5.282 5.248

2.339 2.327 2.353 2.354 2.359

2.357 2.377 2.375 2.317 2.373

2.378 2.387 2.332 2.327 2.329

2.429 2.448 2.441 2.438 2.46

2.495 2.442 2.445 2.464 2.503

2.498 2.435 2.447 2.435 2.447

2.578 2.613 2.605 2.567 2.563

Вариант 5

4.262 4.22 4.219 4.305 4.287

3.535 3.594 3.611 3.459 3.501

12.49 12.46 12.48 12.49 12.44

10.36 10.19 10.4 10.32 10.26

11.36 11.39 11.47 11.44 11.33

1.337 1.247 1.24 1.423 1.288

9.271 9.227 9.323 9.254 9.208

-1.982 -1.956 -1.967 -1.966 -1.949

7.463 7.445 7.491 7.477 7.451

2.116 2.117 2.097 2.102 2.115

10.54 10.52 10.53 10.5 10.54

10.49 10.47 10.48 10.55 10.48

5.8 5.832 5.717 5.702 5.668

2.759 2.747 2.773 2.774 2.779

2.777 2.797 2.795 2.737 2.793

2.798 2.807 2.752 2.747 2.749

2.849 2.868 2.861 2.858 2.88

2.915 2.862 2.865 2.884 2.923

2.918 2.855 2.867 2.855 2.867

2.998 3.033 3.025 2.987 2.983

Вариант 6

-3.901 -3.943 -3.944 -3.858 -3.876

-4.628 -4.569 -4.552 -4.704 -4.662

4.328 4.296 4.314 4.326 4.28

2.192 2.03 2.233 2.155 2.093

3.196 3.222 3.307 3.281 3.169

-6.826 -6.916 -6.923 -6.74 -6.875

1.108 1.064 1.16 1.091 1.045

-10.14 -10.12 -10.13 -10.13 -10.11

7.504 7.486 7.532 7.518 7.492

-9.858 -9.857 -9.877 -9.872 -9.859

-1.433 -1.453 -1.44 -1.474 -1.43

-0.654 -0.675. -0.667 -0.596 -0.671

-5.348 -5.316 -5.431 -5.446 -5.48

2.8 2.788 2.814 2.815 2.82

2.818 2.838 2.836 2.778 2.834

2.839 2.848 2.793 2.788 2.79

2.89 2.909 2.902 2.899 2.921

2.956 2.903 2.906 2.925 2.964

2.959 2.896 2.908 2.896 2.908

3.039 3.074 3.066 3.028 3.024

Вариант 7

-3.558 -3.6 -3.601 -3.515 -3.533

-4.285 -4.226 -4.209 -4.361 -4.319

4.671 4.639 4.657 4.669 4.623

2.535 2.373 2.576 2.498 2.436

3.539 3.565 3.65 3.624 3.512

-6.483 -6.573 -6.58 -6.397 -6.532

1.451 1.407 1.503 1.434 1.388

-9.802 -9.776 -9.787 -9.786 -9.769

7.847 7.829 7.875 7.861 7.835

-9.515 -9.514 -9.534 -9.529 -9.516

-1.09 -1.11 -1.097 -1.131 -1.087

-0.311 -0.332 -0.324 -0.253 -0.328

-5.005 -4.973 -5.088 -5.103 -5.137

3.143 3.131 3.157 3.158 3.163

3.161 3.181 3.179 3.121 3.177

3.182 3.191 3.136 3.131 3.133

3.233 3.252 3.245 3.242 3.264

3.299 3.246 3.249 3.268 3.307

3.302 3.239 3.251 3.239 3.251

3.382 3.417 3.409 3.371 3.367

Вариант 8

-0.558 -0.6 -0.601 -0.515 -0.533

-1.285 -1.226 -1.209 -1.361 -1.319

7.671 7.639 7.657 7.669 7.623

5.535 5.373 5.576 5.498 5.436

6.539 6.565 6.65 6.624 6.512

-3.483 -3.573 -3.58 -3.397 -3.532

4.451 4.407 4.503 4.434 4.388

-6.802 -6.776 -6.787 -6.786 -6.769

10.85 10.83 10.88 10.86 10.84

-6.515 -6.514 -6.534 -6.529 -6.516

1.91 1.89 1.903 1.869 1.913

2.688 2.667 2.675 2.746 2.671

-2.005 -1.973 -2.088 -2.103 -2.137

6.143 6.131 6.157 6.158 6.163

6.161 6.181 6.179 6.121 6.177

6.182 6.191 6.136 6.131 6.133

6.233 6.252 6.245 6.242 6.264

6.299 6.246 6.249 6.268 6.307

6.302 6.239 6.251 6.239 6.251

6.382 6.417 6.409 6.371 6.367

Вариант 9

-3.558 -3.6 -3.601 -3.515 -3.533

-4.285 -4.226 -4.209 -4.361 -4.319

4.671 4.639 4.657 4.669 4.623

2.535 2.373 2.576 2.498 2.436

3.539 3.565 3.65 3.624 3.512

-6.483 -6.573 -6.58 -6.397 -6.532

1.451 1.407 1.503 1.434 1.388

-9.802 -9.776 -9.787 -9.786 -9.769

7.847 7.829 7.875 7.861 7.835

-9.515 -9.514 -9.534 -9.529 -9.516

-1.09 -1.11 -1.097 -1.131 -1.087

-0.319 -0.339 -0.329 -0.259 -0.328

-5.005 -4.973 -5.088 -5.103 -5.137

3.143 3.131 3.157 3.158 3.163

3.161 3.181 3.179 3.121 3.177

3.182 3.191 3.136 3.131 3.133

3.233 3.252 3.245 3.242 3.264

3.299 3.246 3.249 3.268 3.307

3.302 3.239 3.251 3.239 3.251

3.382 3.417 3.409 3.371 3.367

Вариант 10

0.312 0.27 0.269 0.355 0.337

-0.415 -0.356 -0.339 -0.491 -0.449

8.541 8.509 8.527 8.539 8.493

6.405 6.243 6.446 6.368 6.306

7.409 7.435 7.52 7.494 7.382

-2.613 -2.703 -2.71 -2.527 -2.662

5.321 5.277 5.373 5.304 5.258

-5.932 -5.906 -5.917 -5.916 -5.899

11.72 11.7 11.75 11.73 11.71

-5.645 -5.644 -5.664 -5.659 -5.646

2.78 2.76 2.773 2.739 2.783

3.558 3.537 3.545 3.616 3.541

-1.135 -1.103 -1.218 -1.233 -1.267

7.013 7.001 7.027 7.028 7.033

7.031 7.051 7.049 6.991 7.047

7.052 7.061 7.006 7.001 7.003

7.103 7.122 7.115 7.112 7.134

7.169 7.116 7.119 7.138 7.177

7.172 7.109 7.121 7.109 7.121

7.252 7.287 7.279 7.241 7.237

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