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 = a2 = a3 = a4 using F in (16.31).

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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 = a₂ = a3 = a₁ using F in (16.31).
TABLE 16.8 Gain in Weight y and Initial Weight x
of Pigs
1
X
y
165
30
170
27
130 20
156
21
167
151
2
Treatment
y
y
180
24
156
169 31
189
171
20 138
161 26 190
33
180
20 160
29
170 25 172
Source: Ostle and Malone (1988, p. 445).
3
X
PROBLEMS 475
4
y
34
201
41
32
173
32
35 200
30
35
193
35
30
142
28
29 189 36
x
(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).
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 = a₂ = a3 = a₁ using F in (16.31). TABLE 16.8 Gain in Weight y and Initial Weight x of Pigs 1 X y 165 30 170 27 130 20 156 21 167 151 2 Treatment y y 180 24 156 169 31 189 171 20 138 161 26 190 33 180 20 160 29 170 25 172 Source: Ostle and Malone (1988, p. 445). 3 X PROBLEMS 475 4 y 34 201 41 32 173 32 35 200 30 35 193 35 30 142 28 29 189 36 x (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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