200 398 1059 202 399 808 331 660 1228 169 318 199 247 490 261 230 485 172

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Question
Condn.
obsn1
Xijk.
SS (-MS)
obsn2
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
ab
329
331
660
1228
430
148
912.6667
AB
149
169
318
199
462
380
6016.667
ас
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
ABC
3692
72482
Sumsg=
961538 SST=
109609
SSE=
37127
MSE= 4640.875
F(0.05,1,8)= 5.317655
FACTORIAL EFFECTS
exptl
condn
A.
AB
AC
BC
ABC
(1)'
(i)
(ii)
a
(iii)
ab
(iv)
(v)
(vi)
(vii)
ac
bc
abc
(viii)
www.
(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)
Transcribed Image Text:Condn. obsn1 Xijk. SS (-MS) obsn2 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 ab 329 331 660 1228 430 148 912.6667 AB 149 169 318 199 462 380 6016.667 ас 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 ABC 3692 72482 Sumsg= 961538 SST= 109609 SSE= 37127 MSE= 4640.875 F(0.05,1,8)= 5.317655 FACTORIAL EFFECTS exptl condn A. AB AC BC ABC (1)' (i) (ii) a (iii) ab (iv) (v) (vi) (vii) ac bc abc (viii) www. (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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