16.14 In Table 16.8 we have the weight gain y and initial weight x of pigs under four diets (treatments). (a) Estimate B. (b) Test Ho: a₁ = ₂ = 3 = 4 using F in (16.31). TABLE 16.8 Gain in Weight y and Initial Weight x of Pigs 1 2 X Treatment y y 165 30 180 170 27 169 130 20 171 156 21 161 26 167 33 180 20 160 170 25 172 151 29 Source: Ostle and Malone (1988, p. 445). X 3 y 24 156 34 31 189 32 20 138 35 X PROBLEMS 4 y 201 41 173 32 200 30 X 190 35 193 35 30 142 28 29 189 36 475 (c) Test Ho: B = 0 using F in (16.36). = (d) Estimate B₁, B₂, B3, and B4 and test homogeneity of slopes Ho: B₁ B₂ B3 B4 using F in (16.49).

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16.14 In Table 16.8 we have the weight gain y and initial weight x of pigs under
four diets (treatments).
(a) Estimate B.
(b) Test Ho: a₁ = ₂ = 3=4 using F in (16.31).
TABLE 16.8 Gain in Weight y and Initial Weight x
of Pigs
1
X
(c) Test Ho: B
y
y
165
30 180
170
27
169
130 20
171
156
21
161
167
33
180
20
160
151 29
170 25 172
Source: Ostle and Malone (1988, p. 445).
2
=
Treatment
X
24
31
20
26
3
O using F in (16.36).
y
y
156
34 201 41
189 32
173
32
138
35 200
30
190 35 193
35
142 28
189
36
X
PROBLEMS 475
4
30
29
X
(d) Estimate B₁, B₂, B3, and B4 and test homogeneity of slopes Ho: B₁ =
B₂ B3 B4 using F in (16.49).
Transcribed Image Text:16.14 In Table 16.8 we have the weight gain y and initial weight x of pigs under four diets (treatments). (a) Estimate B. (b) Test Ho: a₁ = ₂ = 3=4 using F in (16.31). TABLE 16.8 Gain in Weight y and Initial Weight x of Pigs 1 X (c) Test Ho: B y y 165 30 180 170 27 169 130 20 171 156 21 161 167 33 180 20 160 151 29 170 25 172 Source: Ostle and Malone (1988, p. 445). 2 = Treatment X 24 31 20 26 3 O using F in (16.36). y y 156 34 201 41 189 32 173 32 138 35 200 30 190 35 193 35 142 28 189 36 X PROBLEMS 475 4 30 29 X (d) Estimate B₁, B₂, B3, and B4 and test homogeneity of slopes Ho: B₁ = B₂ B3 B4 using F in (16.49).
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