Yates's computations for a 2^3 factorial experiment exptl. Condn. (1)' a b ab C ac bc abc exptl condn (1)' a b ab с ac bc um abc www obsn1 106 198 197 329 149 243 255 383 Sumsg= A obsn2 93 200 202 331 169 247 230 360 F(0.05,1,8)= 5.317655 (vii) (viii) 961538 SST= Xijk. 199 398 399 660 318 490 485 743 3692 B C 1 2 597 1656 3692 1059 2036 890 33004.17 808 460 882 1228 430 148 199 462 380 261 420 -30 172 62 -42 258 86 24 109609 FACTORIAL EFFECTS AB + 3 SS (=MS) AC + SSE= BC + + A B 32413.5 912.6667 AB 6016.667 C 37.5 AC 73.5 BC 24 ABC 72482 37127 MSE= 4640.875 ABC EFF. + + (1) Fill the signs (i) to (viii) in the table of signs (2) Use the values in the column labeled 3 in the Yates's computations table above to compute: (a) the estimate of the level 1 effect for factor A, i.e. A(1) (b) the estimate of level (1,2) of the two-factor interaction AB, i.e. AB(1,2) (c) the estimate of level (1,1,2) of the three-factor interaction effect, i.e. ABC(1,1,2)
Yates's computations for a 2^3 factorial experiment exptl. Condn. (1)' a b ab C ac bc abc exptl condn (1)' a b ab с ac bc um abc www obsn1 106 198 197 329 149 243 255 383 Sumsg= A obsn2 93 200 202 331 169 247 230 360 F(0.05,1,8)= 5.317655 (vii) (viii) 961538 SST= Xijk. 199 398 399 660 318 490 485 743 3692 B C 1 2 597 1656 3692 1059 2036 890 33004.17 808 460 882 1228 430 148 199 462 380 261 420 -30 172 62 -42 258 86 24 109609 FACTORIAL EFFECTS AB + 3 SS (=MS) AC + SSE= BC + + A B 32413.5 912.6667 AB 6016.667 C 37.5 AC 73.5 BC 24 ABC 72482 37127 MSE= 4640.875 ABC EFF. + + (1) Fill the signs (i) to (viii) in the table of signs (2) Use the values in the column labeled 3 in the Yates's computations table above to compute: (a) the estimate of the level 1 effect for factor A, i.e. A(1) (b) the estimate of level (1,2) of the two-factor interaction AB, i.e. AB(1,2) (c) the estimate of level (1,1,2) of the three-factor interaction effect, i.e. ABC(1,1,2)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Yates's computations for a 2^3 factorial experiment
田
exptl.
Condn.
SS (=MS)
obsn1
obsn2
Xijk.
1
2
3
EFF.
(1)'
106
93
199
597
1656
3692
a
198
200
398
1059
2036
890
33004.17
A
b
197
202
399
808
460
882
32413.5
B
ab
329
331
660
1228
430
148
912.6667
АВ
149
169
318
199
462
380
6016.667
ac
243
247
490
261
420
-30
37.5
AC
bc
255
230
485
172
62
-42
73.5
BC
abc
383
360
743
258
86
24
24
АВС
3692
72482
Sumsq=
961538 SST=
109609
SSE=
37127
MSE= 4640.875
F(0.05,1,8)= 5.317655
FACTORIAL EFFECTS
еxptl
condn
A
B
АВ
АС
BC
АВС
(1)'
(i)
+
a
b
(ii)
ab
(iv)
(v)
ac
bc
(vii)
abc
(viii)
(1) Fill the signs (i) to (viii) in the table of signs
(2) Use the values in the column labeled 3 in the Yates's computations table above to compute:
(a) the estimate of the level 1 effect for factor A, i.e. A(1)
(b) the estimate of level (1,2) of the two-factor interaction AB, i.e. AB(1,2)
(c) the estimate of level (1,1,2) of the three-factor interaction effect, i.e. ABC(1,1,2)
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