45. a.
1: 1, ab, cd, abcd; 2: a, b, acd, bcd; 3: c, d, abc, abd; 4: ac, bc, ad, bd.
b. Source
df SS
f
A 1
12,403.125 27.18
B 1
92,235.125 202.13
C 1
3.125 0.01
D 1
60.500 0.13
AC 1
10.125 0.02
AD 1
91.125 0.20
BC 1
50.000 0.11
BD 1
420.500 0.92
ABC 1
3.125 0.01
ABD 1
0.500 0.00
ACD 1
200.000 0.44
BCD 1
2.000 0.00
Blocks 7
898.875 0.28
Error 12
5475.750 Total
31 111,853.875
, so only the A and B main effects are sig- nificant.
47. a. ABFG;
1, ab, cd, ce, de, fg, acf, adf, adg, aef, acg, aeg, bcg, bcf, bdf, bdg, bef, beg, abcd, abce, abde, abfg, cdfg,
cefg, defg, acdef, acdeg, bcdef, bcdeg, abcdfg, abcefg, abdefg.
{A, BCDE, ACDEFG, BFG}, {B, ACDE, BCDEFG, AFG
}, {C, ABDE, DEFG, ABCFG}, {D, ABCE, CEFG, ABDFG
}, {E, ABCD, CDFG, ABEFG}, {F, ABCDEF, CDEG, ABG}, {G, ABCDEG, CDEF, ABF}
. b. 1: 1, aef, beg, abcd, abfg, cdfg, acdeg, bcdef; 2: ab, cd, fg, aeg, bef, acdef, bcdeg, abcdfg;
3: de, acg, adf, bcf, bdg, abce, cefg, abdefg;
4: ce, acf, adg, bcg, bdf, abde, defg, abcefg.
49.
SSA 2.250, SSB 7.840, SSC .360, SSD 52.563, SSE 10.240, SSAB 1.563, SSAC 7.563, SSAD
.090, SSAE 4.203, SSBC 2.103, SSBD .010, SSBE .123, SSCD .010, SSCE .063, SSDE
4.840. Error SS sum of two-factor SS’s 20.568, Error MS 2.057,
10.04, so only the D main effect is significant.
51. Source df
SS MS
f
A main effects
1 322.667
322.667 980.38
B main effects
3 35.623
11.874 36.08
Interaction 3
8.557 2.852
8.67 Error
16 5.266
0.329 Total
23 372.113
, so interactions appear to be present. F
.05,3.16
5 3.24
F
.01,1,10
5 F
.01,1,12
5 9.33
53. Source df
SS MS
f
A 1
30.25 30.25
6.72 B
1 144.00
144.00 32.00
C 1
12.25 12.25
2.72 AB
1 1122.25
1122.25 249.39
AC 1
1.00 1.00
.22 BC
1 12.25
12.25 2.72
ABC 1
16.00 16.00
3.56 Error
4 36.00
4.50 Total
7 Only the main effect for B and the AB interaction effect
are significant at .
55. a.
b.
A normal probability plot suggests that the A, C, and D main effects are quite important, and perhaps the CD
interaction. In fact, pooling the 4 three-factor interaction SS’s and the four-factor interaction SS to obtain an SSE
based on 5 df and then constructing an ANOVA table suggests that these are the most important effects.
57. Source df
SS MS
f F
.01
A 2
67,553 33,777
11.37 5.49
B 2
72,361 36,181
12.18 5.49
C 2
442,111 221,056
74.43 5.49
AB 4
9696 2424
0.82 4.11
AC 4
6213 1553
0.52 4.11
BC 4
34,928 8732
2.94 4.11
ABC 8
33,487 4186
1.41 3.26
Error 27
80,192 2970
Total 53
746,542 All main effects are significant, but there are no significant
interactions.
59.
Based on the P-values in the ANOVA table, statistically sig- nificant factors at the level
are adhesive type and cure time. The conductor material does not have a statisti-
cally significant effect on bond strength. There are no sig- nificant interactions.
61. Source df
SS MS
f
A 4
285.76 71.44
.594 B
4 227.76
56.94 .473
C 4
2867.76 716.94
5.958 D
4 5536.56
1384.14 11.502
Error 8
962.72 120.34
F
.05,4.8
3.84 Total
24 H
0A
and H
0B
cannot be rejected, while H
0C
and H
0D
are rejected.
a 5 .01
bˆg
11
5 .50, dˆg
11
5 4.50
.75, bˆd
11
5 aˆb
11
5 0, aˆd
11
5 2.00, aˆg
11
5 2.75,
gˆ
1
5 21.00,
dˆ
1
5 17.00,
b ˆ
1
5 2.25,
a ˆ
1
5 9.00,
a 5 .01
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Chapter 12
1. a.
Kategori